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How many micrograms are there in 34.84327g? 34843270 What is 13/5 of a second in milliseconds? 2600 What is 301.109mg in kilograms? 0.000301109 What is 7/8 of a millimeter in micrometers? 875 Convert 670997.1 days to microseconds. 57974149440000000 How many litres are there in 6.82827ml? 0.00682827 How many micrometers are there in thirty-four fifths of a centimeter? 68000 How many millennia are there in 2.887201 years? 0.002887201 What is 76.81702l in millilitres? 76817.02 What is 61/2 of a meter in centimeters? 3050 What is 794.4632 days in minutes? 1144027.008 What is 94.65397 litres in millilitres? 94653.97 What is six fifths of a millennium in centuries? 12 What is 0.0546705m in kilometers? 0.0000546705 How many minutes are there in one sixth of a hour? 10 How many kilograms are there in three fifths of a tonne? 600 What is 17/2 of a tonne in kilograms? 8500 How many days are there in 12.4287075ns? 0.00000000000014385078125 How many kilograms are there in 4.871653g? 0.004871653 What is 3132314.5 days in weeks? 447473.5 How many months are there in 3596.777 millennia? 43161324 How many micrometers are there in 5288.23mm? 5288230 How many months are there in 0.8476255 centuries? 1017.1506 How many millilitres are there in 4115.957 litres? 4115957 What is nine tenths of a century in decades? 9 How many millimeters are there in 46/5 of a meter? 9200 What is 131592.93 months in millennia? 10.9660775 What is 19791.3ml in litres? 19.7913 How many micrometers are there in 0.2395076 centimeters? 2395.076 What is 53/4 of a gram in milligrams? 13250 What is 18/5 of a kilometer in meters? 3600 Convert 686225.9 kilograms to nanograms. 686225900000000000 What is 17/4 of a litre in millilitres? 4250 How many kilograms are there in 61/4 of a tonne? 15250 What is 210174.3t in milligrams? 210174300000000 What is one twentieth of a litre in millilitres? 50 How many meters are there in fourty-six fifths of a kilometer? 9200 How many tonnes are there in 2.176133kg? 0.002176133 How many centimeters are there in 4.012761km? 401276.1 What is 13/8 of a centimeter in micrometers? 16250 How many nanometers are there in 42717.49km? 42717490000000000 How many kilograms are there in 2.606991mg? 0.000002606991 How many millilitres are there in 79/2 of a litre? 39500 What is four fifteenths of a hour in seconds? 960 How many kilograms are there in 6/5 of a tonne? 1200 How many tonnes are there in 9.893052mg? 0.000000009893052 Convert 89.74045ml to litres. 0.08974045 What is one fifth of a millennium in decades? 20 What is seventeen halves of a week in minutes? 85680 How many meters are there in 5/4 of a kilometer? 1250 What is 183.5948 millennia in months? 2203137.6 Convert 99688.92 litres to millilitres. 99688920 How many years are there in 1718275.2 months? 143189.6 How many milligrams are there in 799151.5 micrograms? 799.1515 How many decades are there in 138862.86 months? 1157.1905 How many seconds are there in 3/40 of a week? 45360 What is 7/4 of a microgram in nanograms? 1750 What is 26450.62kg in nanograms? 26450620000000000 Convert 90107.26mg to kilograms. 0.09010726 What is 31.101mg in grams? 0.031101 Convert 99.48745km to meters. 99487.45 Convert 17.3163km to meters. 17316.3 What is seven sixths of a decade in months? 140 What is 14902.71 nanograms in milligrams? 0.01490271 What is 220.2325 years in millennia? 0.2202325 What is eleven quarters of a meter in centimeters? 275 How many kilograms are there in 3/40 of a tonne? 75 What is sixty-one quarters of a tonne in kilograms? 15250 What is eleven halves of a day in hours? 132 Convert 46.13205nm to millimeters. 0.00004613205 How many micrograms are there in 49/4 of a milligram? 12250 How many decades are there in 6812.451 years? 681.2451 What is five eighths of a millimeter in micrometers? 625 How many kilograms are there in twenty-nine halves of a tonne? 14500 How many meters are there in 11/4 of a kilometer? 2750 How many decades are there in 11/4 of a millennium? 275 What is 3/25 of a millennium in decades? 12 Convert 61.7737 microseconds to milliseconds. 0.0617737 How many micrograms are there in one quarter of a milligram? 250 What is 0.8815491ms in hours? 0.00000024487475 What is 971.043 millilitres in litres? 0.971043 What is 71/4 of a millennium in decades? 1775 Convert 4576.94 milligrams to kilograms. 0.00457694 How many millilitres are there in 13/8 of a litre? 1625 How many milliseconds are there in 9134.237 microseconds? 9.134237 How many months are there in 3/40 of a decade? 9 What is thirty-three tenths of a century in months? 3960 How many millilitres are there in twenty-five quarters of a litre? 6250 How many milligrams are there in five eighths of a gram? 625 What is three fifths of a second in milliseconds? 600 What is 497.7587 centuries in months? 597310.44 How many decades are there in 667057.9 years? 66705.79 Convert 752.6318l to millilitres. 752631.8 How many minutes are there in five quarters of a day? 1800 What is 3736.773 litres in millilitres? 3736773 How many milligrams are there in 9592.175 tonnes? 9592175000000 How many millilitres are there in 6/25 of a litre? 240 What is 51/2 of a litre in millilitres? 25500 How many centuries are there in 18/5 of a millennium? 36 How many nanoseconds are there in 0.9049986 weeks? 547343153280000 What is 25506.71 weeks in minutes? 257107636.8 What is 0.1034202 litres in millilitres? 103.4202 Convert 83484.75l to millilitres. 83484750 How many nanometers are there in 8392.398km? 8392398000000000 What is 85.98619 micrometers in kilometers? 0.00000008598619 How many millilitres are there in 27/4 of a litre? 6750 How many years are there in 3/10 of a decade? 3 What is one quarter of a kilometer in meters? 250 How many milliseconds are there in 75.31208 days? 6506963712 What is 38039.45m in millimeters? 38039450 How many micrometers are there in five quarters of a millimeter? 1250 How many millennia are there in 1.91147 decades? 0.0191147 What is 17/2 of a tonne in kilograms? 8500 What is fourty-one halves of a year in months? 246 What is three eighths of a hour in seconds? 1350 Convert 330739.7 litres to millilitres. 330739700 How many milliseconds are there in 24.42464 days? 2110288896 What is five quarters of a litre in millilitres? 1250 How many decades are there in 37/2 of a millennium? 1850 What is 4608.483mg in micrograms? 4608483 What is 21/5 of a litre in millilitres? 4200 What is 254.0381ns in seconds? 0.0000002540381 How many centimeters are there in fourty-four fifths of a meter? 880 How many meters are there in 0.278365mm? 0.000278365 How many micrometers are there in 597681.1 meters? 597681100000 How many meters are there in 4.523669 micrometers? 0.000004523669 How many milligrams are there in 95.51536 micrograms? 0.09551536 How many millilitres are there in thirty-four fifths of a litre? 6800 Convert 5835.969 micrograms to nanograms. 5835969 What is 1335.6 months in centuries? 1.113 How many micrometers are there in three tenths of a millimeter? 300 Convert 348.9974 decades to years. 3489.974 How many centimeters are there in 206.8011 millimeters? 20.68011 What is thirty-four fifths of a meter in millimeters? 6800 How many months are there in 23/3 of a century? 9200 How many grams are there in 53/5 of a kilogram? 10600 How many millilitres are there in 53/5 of a litre? 10600 How many millilitres are there in twenty-nine fifths of a litre? 5800 How many meters are there in 40.33885nm? 0.00000004033885 How many millilitres are there in 11/4 of a litre? 2750 What is three eighths of a meter in millimeters? 375 What is seventeen halves of a millimeter in micrometers? 8500 How many months are there in 43/4 of a decade? 1290 Convert 95517.72cm to micrometers. 955177200 How many micrograms are there in 0.6964301ng? 0.0006964301 How many seconds are there in one fifteenth of a hour? 240 Convert 1317.992l to millilitres. 1317992 What is 11/4 of a centimeter in micrometers? 27500 Convert 455.553ml to litres. 0.455553 Convert 224.1707mm to kilometers. 0.0002241707 What is 1/5 of a microgram in nanograms? 200 Convert 0.697166 meters to micrometers. 697166 What is 573.9594 minutes in nanoseconds? 34437564000000 What is fifty-five quarters of a
{ "pile_set_name": "DM Mathematics" }
factor of 15 and m. 15 Let y be (16 - (-8)/2)/1. Suppose 67 = 5*r - 3*z - 68, -2*r + 5*z = -35. What is the greatest common divisor of y and r? 10 Let k = 143 - -33. Suppose -3*m + 4*m = k. Calculate the greatest common divisor of 16 and m. 16 Let i(l) = 7*l**3 + l**2 - 3. Let u be i(3). Let h = u - 120. Suppose -7*m + 150 = -2*m. Calculate the highest common divisor of h and m. 15 Suppose 11*k - 276 = -k. Calculate the highest common divisor of k and 115. 23 Let b(r) = r**3 + 19*r**2 + 2*r + 46. Let w be b(-19). What is the greatest common divisor of 1 and w? 1 Let c be -1 + (-2 + 2 + 0 - -3). Calculate the highest common divisor of c and 10. 2 Let s = -33 - -44. Calculate the greatest common divisor of s and 121. 11 Let t be 0 - 1*(-10 - 0). Let a be (-4)/(-18) + 50/18. Suppose 0 = 4*o + 12, 8*d - a*d = 5*o + 65. Calculate the greatest common factor of d and t. 10 Let x(s) = -5*s**2 + 8*s - 2. Let y(v) = -v**2. Let z(b) = -x(b) + 6*y(b). Let o be z(-7). What is the greatest common factor of 18 and o? 9 Let w(a) = 3*a - 4. Let s be w(3). What is the greatest common factor of 5 and s? 5 Suppose 5*w - 339 = -59. Let c = w + -20. Calculate the highest common factor of c and 24. 12 Let f = 2 + 0. Let d(n) = n**3 + 3. Let o be d(0). Suppose f*y = o*y - 23. Calculate the highest common factor of y and 115. 23 Let x be -1*-19*(-3)/(-3). Suppose 65 = 5*s + 5*b, 5*b + 51 = 4*s - x. Let y be 6/s - 56/(-10). Calculate the highest common factor of y and 3. 3 Suppose h - 14 = -3*a + 3*h, -2*a + 2*h = -12. What is the highest common factor of 4 and a? 2 Let w = 14 + 0. What is the greatest common factor of w and 98? 14 Let z = 11 + -5. What is the highest common divisor of 24 and z? 6 Let w(l) = 5*l**2 - 3*l - 1. Let q be w(-1). Suppose 880 = q*m - 2*m. Calculate the greatest common factor of 22 and m. 22 Let b(w) = 2*w - 1. Let n be b(5). Suppose 0 = 4*r - 33 + n. Suppose -4*p + 138 + 78 = 0. Calculate the highest common divisor of p and r. 6 Let y be 3 - (-5)/((-5)/(-12)). Let z be 20/(-1)*(-6)/y. What is the greatest common factor of 20 and z? 4 Suppose 0 = 3*b + b - 56. Calculate the highest common factor of 7 and b. 7 Suppose 5*s + 16 = 576. Calculate the greatest common factor of s and 14. 14 Let n = 7 + 1. Let x(v) = -44*v. Let f be x(-2). What is the highest common divisor of f and n? 8 Suppose 144 = 4*d - 76. Calculate the highest common factor of 5 and d. 5 Let f = 13 - 8. Suppose -h + 1 = o, -o + f*h = 2*o - 11. Let d be 4*(1 - o/(-2)). Calculate the greatest common divisor of 4 and d. 4 Let b(o) = o**3 + 2*o**2 - o - 2. Let t be b(2). Let r = -54 + 162. Suppose a + r = 4*a. What is the highest common divisor of a and t? 12 Let i be 17/(2 + -3) - -1. Let v be ((-12)/16)/(2/i). Suppose -x + v*x - 120 = 0. Calculate the greatest common factor of 24 and x. 24 Let u = 3 - 0. Suppose 0 = -u*c + j + 73, 0*j + 3*j = 6. What is the highest common factor of c and 10? 5 Let u = -83 + 92. Calculate the greatest common divisor of u and 9. 9 Let u(w) = -w**3 - 5*w**2 + 3. Let o be u(-5). Let h be -6 + o - 138/(-2). What is the greatest common divisor of 6 and h? 6 Let o be ((-30)/45)/(1/(-6)). Suppose -t + 4*b = -20 - 20, 2*b + 6 = 0. What is the greatest common divisor of o and t? 4 Let y(d) = -d**3 - d**2 - d + 38. Let l be y(0). Let q = l + -14. Calculate the highest common factor of q and 16. 8 Let n = -8 - -11. Suppose 93 = -n*w + 363. Calculate the highest common divisor of 10 and w. 10 Suppose 5*r - 2*m = 178, -4*m + m = 2*r - 75. What is the greatest common factor of 12 and r? 12 Suppose 3*p = 6, -6*f = -5*f - 5*p - 14. Calculate the highest common factor of 216 and f. 24 Let j = -21 + 13. Let l be (-320)/(-18) - j/36. What is the highest common divisor of 3 and l? 3 Suppose -q = -5 - 7. Suppose -d - q + 3 = 0. Let g = d - -19. What is the highest common divisor of 2 and g? 2 Let d(c) = -c + 7. Let j be d(-7). Let b = 15 + -8. What is the highest common factor of b and j? 7 Let h be (-3)/1 + 426/6. Let r be (0/(0 + 3))/(-2). Suppose 4*l + r*l = -3*g + 65, 2*l + 2*g = 32. Calculate the greatest common factor of h and l. 17 Suppose -i - 14 = -2*d, -4*d + 26 = -0*d - i. Calculate the greatest common divisor of d and 54. 6 Let n = 2 - 3. Let w(m) = 10*m**2 + m. Let g be w(n). Calculate the highest common factor of 72 and g. 9 Let p be 0/(-6) - 4/2. Let s(x) = x**3 - 3*x**2 - 2*x - 5. Let o be s(4). Let f = o + p. Calculate the greatest common divisor of f and 1. 1 Suppose -4*q = -3*g + g - 2, 3*g - 3 = 3*q. Calculate the greatest common divisor of q and 10. 2 Let d be (3/(-6))/(3/(-138)). What is the greatest common factor of d and 115? 23 Suppose 4*d = 12 + 20. What is the highest common divisor of 4 and d? 4 Let w be 52 - -2 - 5 - (5 - 1). What is the highest common divisor of 5 and w? 5 Suppose 0 = -4*u + 34 + 22. Let c = 13 + -4. Let d = 11 - c. What is the highest common divisor of u and d? 2 Suppose -q - 2 = -3*p, -3*q = -2*q + 3*p - 4. Let a = 1 - q. Suppose a*d - 12 = -d. What is the highest common divisor of d and 36? 12 Let h(w) = -w**3 - 5*w**2 + w - 1. Let f be h(-3). Let q = f + 38. Let j be q/6*102/8. What is the greatest common divisor of 17 and j? 17 Let r(y) = 60*y - 3. Let a be r(2). Calculate the greatest common divisor of a and 13. 13 Let l be -2 - (0 - 38)*1. Suppose -4*x = -l - 52. What is the greatest common factor of x and 2? 2 Let f be 1/(-2) - 442/(-4). Let a be (-2)/(((-24)/20)/6). Calculate the highest common divisor of a and f. 10 Suppose 3*w + 7 = 3*x + 2*w, 5*w = -3*x + 19. Calculate the greatest common factor of x and 2. 1 Suppose -10 = -5*u, 0*u = -4*t + 2*u + 40. Let s be ((-10)/15)/((-2)/6). Let o be (-2)/s + 3*15. Calculate the highest common divisor of o and t. 11 Suppose -4*s = s - 10, -3*g + s + 148 = 0. Calculate the greatest common divisor of g and 25. 25 Let k = -39 - -16. Let y = 32 + k. What is the greatest common divisor of y and 18? 9 Let x be 1/((-38)/(-18) + 22/(-11)). Suppose 4*h + 5*k = 391, 2*k + 3*k + 500 = 5*h. Calculate the highest common divisor of x and h. 9 Suppose -i - 2*v = -6*v - 9, 2*i - 5*v = 21. Calculate the greatest common divisor of i and 13. 13 Suppose -3 - 11 = -2*y - 2*g, -5*g + 27 = y. Suppose -3 = -j + y. Calculate the highest common divisor of j and 35. 5 Let g(w) = -4*w - 5. Let x be g(-8). Suppose -2*a + 7 = -29. Calculate the greatest common factor of a and x. 9 Suppose 274 = 5*p + 5*x - 111, -4*x + 148 = 2*p. Calculate the highest common factor of 8 and p. 8 Let x = 23 - 5. What is the highest common factor of 45 and x? 9 Let i(g) = g**2 - 11*g + 12. Let p be i(10). Suppose p*l = -l + 51. What is the greatest common factor of l and 85? 17 Suppose -2*y + 2*f + 50 = -10, 3*y = -3*f + 120. Let o = y + -19. Calculate the highest common divisor of 2 and o. 2 Suppose 4*k - 2*w = -6*w + 504, -644 = -5*k + 2*w. Calculate the greatest common divisor of k and 16. 16 Let r(c) = 59*c**2 + 2*c - 1. Let s be r(1). Calculate the greatest common factor of 12 and s. 12 Suppose -4*t - 8 = 4*j, 4 = 5*j + 2*t - 1. Suppose -j*p + 36 = 6. Suppose -4*b - p = -5*b. Calculate the greatest common divisor of b and 10. 10 Suppose -2*b = b + 3, 0 = -4*n + 2*b + 82. Calculate the greatest common factor of n and 60. 20 Let v = 10 + -10. Let r(i) = i + 40. Let c be r(v). Let o(l) = l**3 - 7*l**2 + 6*l + 5. Let s be o(6). What is the greatest common factor of s and c? 5 Suppose -3*l + 20 = -28. Calculate the highest common divisor of 4 and l. 4 Suppose -2*z + 21 = 9. What is the greatest common divisor of 3 and z? 3 Suppose -z + 5*q = 113 - 322, -1185 = -5*z - 3*q. Suppose 65 = 5*s - 0*s. Let v be s*3*(-6)/(-9). Calculate the highest common divisor of z and v. 26 Suppose b + 3*b - 3*a - 55 = 0, 5*a = 15. Let j be (168/(-14))/(6/(-4)). Calculate the highest common factor of j and b. 8 Let o be (1 + (-6)/3)*-69. Suppose -5*n - 14 + o = 0. Calculate the highest common divisor of 88 and n. 11 Let k(q) = -5*q + 3. Suppose 0 = 3*i - y + 15, -2*i = -3*i - 2*y - 5. Let b be k(i). What is the highest common divisor of b and 14? 14 Let y(l) be the third derivative of -l**4/3 + 2*l**3/3 + 5*l**2. Let a be y(-7). What is the greatest common divisor of 15 and a? 15 Let l = -69 - -92. What is the highest common divisor o
{ "pile_set_name": "DM Mathematics" }
w = 23.9 + -24. What is the closest to w in l, -0.4, -2? -0.4 Let k be (-231)/28 + (-6)/8. Let l(y) = y + 9. Let u be l(k). What is the nearest to -0.1 in 1/7, 3, u? u Let o = -0.1 + -0.3. Let h = -3.5 - -4. Which is the closest to 0.1? (a) o (b) -5 (c) h c Let r be (-4)/6 - (-95)/75. Let w = -12/37 - -158/259. Which is the nearest to w? (a) -2/3 (b) r (c) 1/7 c Let l be 45/20 + (9/(-4) - -2). What is the closest to l in -22, -4, 0.3? 0.3 Let a = 44 + -43. What is the nearest to 2 in 2, a, 0.5? 2 Let i = -65 - -61. Which is the nearest to -2? (a) i (b) -0.3 (c) -0.4 c Let f = -0.26 + -2.74. Which is the nearest to 1? (a) f (b) -2 (c) -0.1 c Let k be -3 + (-132)/(-60) + (-2 - -3). Let a = -138 + 135.05. Let d = a + -0.05. What is the closest to d in -0.5, -1, k? -1 Let h = 6 - 9. Let k be (-2)/(-3)*h + 2. Which is the closest to -1? (a) 1/3 (b) 0.3 (c) k c Let q = -150.1 - -152. Which is the nearest to -0.1? (a) -0.4 (b) 0.4 (c) q a Let y = 43 + -28. Let r be (-3)/((y/(-2))/(-5)). Which is the nearest to 1? (a) 2/3 (b) -2/5 (c) r a Let a = 2.3 - 2.1. Let d be (-76)/(-60) + 9/(-15). What is the nearest to d in a, 2/3, 3? 2/3 Let s = 0 - 0.1. Let l be (3/2)/((-3)/(-6)). What is the nearest to s in l, -3, -0.4? -0.4 Let i = -11 - -15. Which is the nearest to -1/2? (a) -1/5 (b) i (c) 0.3 a Let l = -41.08 - -42. Let n = 0.08 + l. Which is the closest to 1? (a) n (b) 2/5 (c) 4 a Let o = 0.59 + -0.29. Let k = 0 - -0.1. Which is the closest to k? (a) o (b) 1 (c) -3 a Let r be ((-2)/(-102))/(39/18 - 2). What is the closest to 0.8 in 3, -3/5, r? r Let n = -0.8 - -0.4. Let p = 5 - 3. Let l = -8 - -8.1. What is the closest to l in n, p, -0.5? n Let k = -2.6 - -1.6. What is the closest to k in -1, -2/7, 2/7? -1 Suppose 3*q + 10 - 7 = -2*r, 2*r - 3*q = 3. What is the closest to r in 0.1, 8, 3? 0.1 Let d be 9/315 - 2/(-5). Which is the nearest to -0.2? (a) -3/7 (b) -0.5 (c) d a Let i = 196 + -195.8. Which is the nearest to 0.3? (a) -8 (b) -2 (c) i c Suppose 11 = 3*s + 2. Let v = -14 - -68/5. Which is the closest to v? (a) 1/9 (b) -5 (c) s a Let s = -4 + 3.7. Let d = 0.517 - 0.517. Let t(r) = -r**2 - 4*r. Let j be t(-3). Which is the closest to d? (a) j (b) s (c) 1/2 b Let a = 27 + -29. What is the closest to -6 in -3, -1, a? -3 Let m = 6.21 + -1.21. Let k(n) = -n**2 - n + 4. Let a be k(-3). What is the closest to a in m, -0.1, -2? -2 Let y(t) = -t + 9. Let j be y(11). What is the closest to -2/9 in j, 5, 1/6? 1/6 Let s = -770.93 + 766. Let g = -0.07 + s. Which is the closest to -1/3? (a) -2 (b) 3 (c) g a Let r = 7.9 + -7.7. Which is the nearest to r? (a) 0.07 (b) -0.2 (c) 0.1 c Let j = -14.76 + 15. Let w = j - 0.04. Let u = 1 + -0.5. Which is the nearest to w? (a) 4/3 (b) u (c) 1/3 c Suppose 0 = 3*y - 2*t - 21, t = y + y - 13. What is the nearest to 2/5 in y, -5, 0.02? 0.02 Let l = 22 - 11. Let m = 6 - l. Let c = 4 - 3.9. What is the closest to -1 in c, m, 2? c Let q = 14 + -11. Let u be 1/(-3) + 14/24. What is the nearest to 0 in q, u, -0.5? u Let m = -1.9 - -2. Let v(c) = -c**3 + 7*c**2 - 5*c - 2. Let l be v(6). What is the closest to 0.2 in -1/2, l, m? m Let d = 173 + -1387/8. Let h = 11.5 + -17.2. Let w = h - -0.7. What is the closest to 1/2 in -1, w, d? d Suppose o = -4*q - 38, 3*q = q - 8. What is the closest to -1/4 in o, 5, -2? -2 Suppose q - 2*q + 3*y = -17, -2*y = q + 3. Suppose -4*m = 17 - q. Which is the nearest to m? (a) 0.2 (b) -2 (c) 4 b Suppose 5*g + 45 = -r, 27 = -3*g + 2*r - 6*r. Let z(k) = -k - 10. Let l be z(g). Which is the nearest to 2? (a) -0.5 (b) l (c) 0.3 c Let b = -7.92 - 0.08. Let u = -7.99 - b. What is the nearest to u in 0.1, 1, -0.2? 0.1 Let q(g) = g**3 + 7*g**2 + 7*g + 5. Let i be q(-6). Let s be ((-1)/9)/((-1)/3). Which is the closest to -3/4? (a) s (b) -4 (c) i c Let c(p) = p**2 - 4*p - 1. Let v be c(3). Let r = 0.9 + -1.2. What is the closest to 0.1 in -1, v, r? r Let q = -1.73 - -1.8. Let s = -0.03 - q. Which is the nearest to 1/2? (a) s (b) -3 (c) 2/21 c Let o = 3.6 + -3.5. Suppose -6*j + 5*j + 14 = 3*u, 0 = -4*u + 5*j - 13. Which is the closest to o? (a) u (b) -4 (c) -2 c Let y = -10 + 11.2. Let t = y + -7.2. Let r = t + 7. What is the nearest to 1/4 in -2, r, -1? r Let b(n) = n**2 + 3*n + 2. Let k be b(-3). Suppose -2*f = k + 4. Let r = -9 - -13. What is the closest to 0.1 in 0, f, r? 0 Let h = -415/6 + 70. Let y = -61 + 61.3. What is the closest to -1/3 in y, h, 0.2? 0.2 Let v be (2/8)/((-12)/(-7456)). Let h = v - 157. Which is the closest to 1? (a) -2 (b) h (c) 0.2 c Let n be (-10)/9 - 22/99. Let p = -53 - -58.3. Let d = p + -5. What is the nearest to 2/11 in n, 2/7, d? 2/7 Let d = 1.2 - 1.1. Which is the closest to -4? (a) -2 (b) -3 (c) d b Let y = 3/31 + -43/124. What is the closest to y in -3, -1, 1? -1 Let z be 1/1 + ((-130)/(-11))/(-10). What is the nearest to z in 2/7, -3/4, -4? 2/7 Suppose 4*j - 7 - 7 = -3*p, -3*j - 12 = 0. Let w = p - 11. Which is the closest to w? (a) 2 (b) -3/7 (c) -0.3 b Let u = 11.5 + -12. What is the nearest to -1 in u, -2/9, 4? u Let w = 0.1 + 0. Let k = 6 - 9. Let q = -3.3 - k. Which is the nearest to w? (a) q (b) -2/15 (c) 0.4 b Let z(h) = -h**3 + 14*h**2 - 15*h + 20. Let k be z(13). Which is the closest to k? (a) 3 (b) 1 (c) -2/7 c Let n = 8 + -8.6. Let w = 1 + n. Which is the closest to 0.1? (a) 0 (b) -1/3 (c) w a Let p = -7 + 6.7. Let a = 16 - 47/3. What is the nearest to a in 0.2, p, -4? 0.2 Suppose 4*g = 9*g. Suppose -n = -g*f + 5*f - 14, n - 5*f = -6. Let z = -7 + n. What is the nearest to -0.1 in z, 1/6, 1/7? 1/7 Let v(k) = -k**2 + 10*k - 21. Let r be v(8). What is the closest to -1/2 in r, -2/5, 0.3? -2/5 Let z = 38.092 - 0.092. Let j = z + -43.4. Let c = 5 + j. What is the nearest to -1 in 2/7, c, 1? c Let y = 10/13 - 27/52. Let i = 16.4 + -16. What is the closest to y in 4, 4/5, i? i Suppose 3*o - 32 = -2*t - 9, -5*t = -o + 36. Let q = o - 14. Which is the closest to 0? (a) 2 (b) -5 (c) q a Let f = -45 - -87/2. Let v be (-15)/12 - (-1 + -1). Which is the closest to 1? (a) -2/5 (b) v (c) f b Let g = -3/8 - -61/120. What is the nearest to 5 in 3, g, -2? 3 Let p = 0.39 - 0.33. Which is the closest to 0.1? (a) p (b) -1/2 (c) 1 a Let x = 5.6 - 7. Let h = x - -1. Which is the nearest to 0? (a) -1/2 (b) 0.3 (c) h b Let x = 4 + -2. Let w = 0.3 + -0.2. Let y = 29 + -199/7. Which is the nearest to w? (a) -2/3 (b) x (c) y c Let n = -3 + -1. Let j = -4.09 - n. Let c = 3.91 - j. What is the closest to 0.1 in -0.5, c, -1/5? -1/5 Let h = 17 + -12. Suppose h*f + 8 = f. Let u be 1 + (-2 - (0 - 1)). Which is the nearest to 1? (a) u (b) f (c) -1 a Let p be 10/15 - (-1)/(6*-1). Which is the closest to 2? (a) -4 (b) 2 (c) p b Let w be (1 - 1) + (-2)/(-9). Let h(s) = -7*s - 19. Let a be h(-3). What is the nearest to w in 4, a, -2? a Let x be ((-3)/(-2))/((-27)/(-18)). Let w be x + (-6)/(-8)*-2. Which is the nearest to 0? (a) 2/9 (b) -4 (c) w a Let k = -0.21 + 4.71. Let v = k - 4. Let g = -0.1 + -0.9. Which is the closest to 2? (a) 2/17 (b) v (c) g b Suppose 0*g + 4*g = -880. Let l be 25/(-6)*(-14)/g. Let j = -3/44 + l. Which is the nearest to 1? (a) -1/4 (b) j (c) 5 a Let h = -1.997 - 0.003. What is the nearest to 0 in 6, 0.4, h? 0.4 Let o = 0.4 - -1.6. Let y = 2.5 - o. Let r = 1/6 + -1/30. Which is the nearest to -0.1? (a) r (b) y (c) 0 c Let p = -101 - -100.7. Which is the nearest to -0.1? (a) -1 (b) p (c) 0.03 c Let p be 11/(-7) + (-2 - -4). Let x(n) = n - 2. Let l be x(0). What is the closest to -4 in p, l, -1/4? l Let l be (-3)/(-15) + 1/45. Let r = 31 + -157/5. What is the nearest to 0.1 in -0.03, r, l? l Let x = 0.4 - 0.8. Which is the nearest to -2/3? (a) x (b) -5 (c) 1/2 a Let v = -0.26 + 0.06. Let i = -33 + 30. What is the closest to 1 in i, v, 0? 0 Let p(x) = x**2 - 4*x - 2. Let i be p(4). Which is the closest to -2/9? (a) -1/3 (b) -0.4 (c) i a Let i = 0.58 - -2.72. Let s = i + -1.3. Suppose 4*q = t, -t = -3*q + 3*t - 13. What is the nearest to q in -0.3, 3, s? s Let i be (-6 + 7)/((-1)/(-3)). Let o be -1*((-6)/(-3) - i). Which is the closest to 0? (a) o (b) -4/5 (c) -0.3 c Let i = -4.79 + -0.21. What is the nearest to -0.3 in i, -1/2, 0.4? -1/2 Suppose -2
{ "pile_set_name": "DM Mathematics" }
What is the units digit of i(w)? 8 Suppose 0 = -3*m + p + 284, 5*m + 3*p = 2*m + 264. Let c = 1 - -51. Let o = m - c. What is the units digit of o? 1 Suppose 2*u - 10 = -3*u, 4 = x + u. Suppose 4*g + 3*s = 3*g + 12, -3*g + 4*s = -75. Suppose x*k = 3*k - g. What is the tens digit of k? 2 Let y(x) = 33*x**2 + 2*x - 3. Let c be y(1). Suppose -4*m = -5*h + 101, 5*m + 122 = -0*m + 2*h. Let v = c + m. What is the units digit of v? 8 Suppose -6511 = -6*l + 23777. What is the tens digit of l? 4 Suppose -117*n + 125*n - 4592 = 0. What is the units digit of n? 4 Let k(n) = n**3 + n - 2. Let b = -69 - -74. What is the units digit of k(b)? 8 Let j be -2 + (-5)/(-1) + 27. Let f be (-3)/(j/(-21) - -1). Let o(p) = 3*p - 14. What is the units digit of o(f)? 7 Let p be 4/(-8)*-10*81. Suppose 69 - p = -2*a. Suppose -3*c + 3*u + 81 = 0, -5*u + a = 5*c + 23. What is the units digit of c? 8 Let f(c) = c**3 - 2*c - 3. Let m(g) = -g - 1. Let x(a) = 2*f(a) - 5*m(a). Let b be x(1). Suppose -i + 15 = b*i. What is the units digit of i? 5 Let o(c) = -3*c - 22. Let a be o(-8). What is the units digit of (-1 + -3)/(a/(-24))? 8 Suppose -17*x + 7720 + 1035 = 0. What is the tens digit of x? 1 Let p be 2/3*(14 + 4). Let c = p - 6. Suppose 2*g - c - 10 = -2*h, 26 = 2*h + 4*g. What is the units digit of h? 3 Suppose 64*v - 70*v + 1728 = 0. What is the hundreds digit of v? 2 Suppose 8*s = 4 + 36. Suppose 0 = -3*f + 5*v + 318, 4*f - 167 - 257 = s*v. What is the units digit of f? 6 Suppose -c - 8 = 2*v, -2*c = -0*c + 2*v + 6. Let m be c - -1 - (1 - 1). Suppose -8*y = -m*y - 15. What is the units digit of y? 3 Suppose 4*b + 64 = -2*p, -4*b = 2*p - 4*p + 64. Let l = b - -36. Suppose -z = z - 2*n + 2, 2*n = -4*z + l. What is the units digit of z? 3 Let h be 13/(-2) - 7/(-14). Let b be (-1 + -2)*4/h. Suppose 0 = n + b*n, 5*n = -5*o + 130. What is the units digit of o? 6 Let w(z) = 54*z + 4. What is the units digit of w(9)? 0 Suppose 4*s - n + 259 = 2*n, 0 = 5*s + 5*n + 315. Let z = s + 146. What is the units digit of z? 2 Let u = -266 - -425. What is the tens digit of u? 5 What is the tens digit of ((-168)/140)/(3/(-220))? 8 Suppose -4*a - 2*l + 198 = 0, a - 5*l - 10 - 34 = 0. Let i = a - 20. What is the units digit of i? 9 Suppose 1 = m, -3*r + 127 = 4*m - 24. Let i(n) = -3*n**2 + 6*n - 4. Let p be i(4). Let j = r + p. What is the tens digit of j? 2 Let z(m) = m + 7*m**2 - m. Let a(s) = s**3 - 4*s - 2. Let y be a(-1). What is the units digit of z(y)? 7 Suppose -4*v = 5*o - 119, 3*v - 141 = o - 28. What is the tens digit of (-10)/(-3)*v/2? 6 Suppose -5*p + 1 + 14 = 0. Let t be (-6)/p - -2*2. Suppose 38 = -t*d + 4*d. What is the tens digit of d? 1 Suppose -883 + 23 = -3*c - r, -5*r + 10 = 0. Let a = 407 - c. What is the units digit of a? 1 Let h = 17 + -17. Suppose 5*p + h*p - 615 = 0. What is the hundreds digit of p? 1 Let l = -3 - -6. Suppose l*x = -0*x. Suppose -4*z + 7*z - 45 = x. What is the tens digit of z? 1 Suppose 0 = 2*z - 2*t - 106 + 6, -4*z - t = -215. Suppose 4*k + z = 229. Suppose j - k = -3*j. What is the units digit of j? 1 Suppose 0 = -2*x + 2*v + 160, 2*x + v = -v + 144. Suppose n + 4*y - 44 - x = 0, -n + 88 = -4*y. What is the tens digit of n? 0 Suppose -3*j + 138 = 3*o - 132, -432 = -5*o + j. What is the units digit of o? 7 Let w(j) = -4*j + 2*j**3 + 8 + 8*j - 2 - 10 - 2*j**2. What is the hundreds digit of w(4)? 1 What is the tens digit of (-60)/9*(-25884)/48? 9 Let f(u) = -7*u - 1. Let z be f(-1). Suppose -z*l + 8*l - 8 = 0. Let i = l + -3. What is the units digit of i? 1 Suppose 18 = u + 4*o, -5*o + 2 - 103 = -2*u. Suppose -2*p + 62 + u = 4*t, -4*p = t - 11. What is the units digit of t? 7 Suppose 5*v + 3*c = 477, -5*v + c + 469 = 2*c. Let n(z) = -5*z**3 + 2*z**2 - 1. Let r be n(-1). Suppose -r*o = -3*o - v. What is the tens digit of o? 3 Suppose -44*d - 23078 = -55*d. What is the tens digit of d? 9 Suppose -3 = 3*n - 5*n - 3*p, -4*p + 4 = -n. Let o(k) = -5 - 2*k**2 - k**3 - 3*k**2 + 4*k + n*k**2 + 2. What is the units digit of o(-6)? 9 Suppose 2*f + x = 3*f - 843, -2*x - 2 = 0. What is the hundreds digit of f? 8 Suppose y - 1173 = -3*m + 645, 3037 = 5*m + 4*y. What is the tens digit of m? 0 Let l = -6 - -2. What is the tens digit of -4 + (14 - (2 + l))? 1 Let o(d) = 186*d + 33. What is the units digit of o(4)? 7 Suppose j = -j - 14. Let i(g) be the first derivative of -g**2/2 + 17*g - 18. What is the units digit of i(j)? 4 Suppose -5*y + 3*l = -y - 5147, 0 = -3*l + 9. What is the units digit of y? 9 Suppose 193 = 2*z - 5*j - 1409, -2*j = -z + 800. What is the tens digit of z? 9 Suppose -g - 4*v = 12, 2*v = -3*g - 3 - 3. Suppose g*a + 154 = 2*a. What is the units digit of a? 7 Let a(w) = 5*w**2 + 12*w - 1. Let u = 73 + -78. What is the tens digit of a(u)? 6 Let w(j) = 3 - 5*j + j + 1. Let h = 119 + -124. What is the units digit of w(h)? 4 Suppose -103*o + 90*o = -12480. What is the tens digit of o? 6 Suppose -37*g + 25976 = -20*g. What is the hundreds digit of g? 5 Suppose 5*g + 335 = -70. Suppose 3*z = 4*v - 80, 5*z + 103 = 3*v - 23. Let a = z - g. What is the tens digit of a? 5 Let z = 476 - 263. What is the hundreds digit of z? 2 Let f(g) = -32*g + 3. Let l be f(-5). Suppose -3*o = 3 - 12, l = 4*i + o. What is the units digit of i? 0 Suppose -c = -s - 13, -8*s + 3*s + 2*c = 65. Let j(l) = l**2 + 11*l - 18. What is the units digit of j(s)? 8 What is the thousands digit of 2156 + 2 - 12/(-42)*-7? 2 Let k(r) = 297*r**2 - 8*r - 16. What is the thousands digit of k(-3)? 2 Let q = 9 - 9. Suppose q = -7*g - g + 832. What is the tens digit of g? 0 Let z(o) be the second derivative of -3*o**3 - 51*o**2/2 + 15*o. What is the tens digit of z(-7)? 7 Let z = -6261 - -10947. What is the thousands digit of z? 4 Let f = -618 - -1189. What is the units digit of f? 1 Let h(w) = w**3 - 5*w**2 + w + 2. Let r be h(5). Let y be (0 + 300/14)*r. Suppose o = 5*s - 186, -s + 5*s - 2*o = y. What is the units digit of s? 7 Let o(t) = 2*t**2 + 45*t + 18. What is the hundreds digit of o(29)? 0 Let r be 4*(-3)/18*-24. Let b = r + 26. What is the tens digit of b? 4 Let k(d) = -142*d + 29. What is the hundreds digit of k(-3)? 4 Suppose 2*t + 22*o - 656 = 18*o, 2*t - 657 = -3*o. What is the hundreds digit of t? 3 Let p(v) = v**3 - 16*v**2 - 25*v - 4. Let q be p(18). Let z = -53 + q. What is the hundreds digit of z? 1 Let k be (0 - -29) + (3 - -2). Let h = -7 + k. What is the units digit of h? 7 Let s(r) = r**2 - 5*r + 44. What is the tens digit of s(34)? 3 Let j be 2/3 - (-70)/3. Suppose 30 = -6*v - 66. What is the units digit of (1*-3)/(j/v)? 2 Suppose -2*v + 1376 = 4*u, 2*v + 4 - 8 = 0. What is the hundreds digit of u? 3 Let x be 12/4 + 5 + -2 + -119. Let j = x + 168. What is the tens digit of j? 5 Suppose -55*r = -60148 - 100892. What is the tens digit of r? 2 Suppose 2*n = -3*k - 2230, 4*k + 2945 = 3*n - 0*n. What is the tens digit of (1*(-14)/(-35))/((-2)/k)? 4 What is the tens digit of 48*54*((-5)/(-4) + -1)? 4 Suppose 0*r + 6 = 2*r, -r + 25 = -y. Let b = 89 + y. What is the units digit of b? 7 Let j be (-71)/((-2 - 0)/2). Let g = 6 + j. What is the units digit of g? 7 Suppose -6*a + 3*a + 4*u = 985, 1623 = -5*a + 2*u. Let t = -198 - a. What is the hundreds digit of t? 1 Let l be 3/(-1 + 2) - 8. Let c be l/10*(-3 + -1). Suppose c*h + 5*k + 2 = 23, 4*h + 2*k = 66. What is the tens digit of h? 1 Let m(l) = 5*l**3 + 6*l**2 - 38*l - 12. What is the hundreds digit of m(5)? 5 Let k(f) = 127*f**3 + 3*f - 2. Let y = -14 + 15. Let p be k(y). Suppose 3*j - p = 4. What is the tens digit of j? 4 Suppose -5*t = -7*t - 4. What is the units digit of ((-28)/(-70))/(t/(-20))? 4 Let u be (-2 - -2)*3/6. Suppose u = -2*a - a + 258. Suppose -4*v + o + a = -89, -85 = -2*v + 3*o. What is the tens digit of v? 4 Let u be (-4)/((-12)/3) - -104. Suppose -2*o - f + u = -6*f, -f = 5. What is the tens digit of o? 4 Suppose -123*r - 13314 = -126*r. What is the thousands digit of r? 4 Let s be (-8)/((-96)/(-20))*(0 - 3). Suppose -s*t + 200 = -3*m, -2*m = -0*m + 10. What is the units digit of t? 7 Let g be ((-6)/(-4))/(-3)*0. Let v = g + 26. What is the units digit of v? 6 Let f(q) = -q + 17. Let g be f(20). Let r be 9/3 + g - 4. What is the tens digit of (-24)/4*46/r? 6 Suppose -10*l + 12655 = 4605. What is the tens
{ "pile_set_name": "DM Mathematics" }
, -35558, -63191, -98720? -3948*u**2 + 3*u - 35 What is the q'th term of -20213, -41105, -61985, -82847, -103685? q**3 - 20899*q + 685 What is the m'th term of -1800823, -3601644, -5402465? -1800821*m - 2 What is the m'th term of -15383, -30460, -45223, -59672, -73807? 157*m**2 - 15548*m + 8 What is the f'th term of -11538, -22824, -34132, -45462, -56814, -68188? -11*f**2 - 11253*f - 274 What is the k'th term of 749, 1495, 2137, 2573, 2701, 2419? -17*k**3 + 50*k**2 + 715*k + 1 What is the h'th term of -8096, -75569, -258720, -615389, -1203416, -2080641, -3304904? -9640*h**3 + h**2 + 4*h + 1539 What is the w'th term of -8867, -34156, -76305, -135314, -211183, -303912, -413501? -8430*w**2 + w - 438 What is the n'th term of 1407455, 1407517, 1407579? 62*n + 1407393 What is the k'th term of -1421573047, -2843146095, -4264719143? -1421573048*k + 1 What is the t'th term of 74, 130, 216, 326, 454, 594, 740? -t**3 + 21*t**2 + 54 What is the p'th term of 205256, 410514, 615772? 205258*p - 2 What is the t'th term of -265528, -265698, -265882, -266086, -266316, -266578, -266878, -267222? -t**3 - t**2 - 160*t - 265366 What is the p'th term of 1511581, 3023157, 4534731, 6046303, 7557873, 9069441, 10581007? -p**2 + 1511579*p + 3 What is the y'th term of 3616, 7168, 10786, 14500, 18340, 22336, 26518? 5*y**3 + 3*y**2 + 3508*y + 100 What is the n'th term of -10452, -10670, -10888, -11106, -11324? -218*n - 10234 What is the m'th term of 325993, 325964, 325935, 325906? -29*m + 326022 What is the i'th term of -5227484, -20909928, -47047334, -83639702, -130687032? -5227481*i**2 - i - 2 What is the u'th term of 12315, 49949, 112671, 200481? 12544*u**2 + 2*u - 231 What is the s'th term of -89767, -179222, -268677? -89455*s - 312 What is the x'th term of -71326, -144820, -218314, -291808, -365302? -73494*x + 2168 What is the t'th term of -9116, -9591, -10068, -10547, -11028, -11511? -t**2 - 472*t - 8643 What is the f'th term of 10584, 10591, 10616, 10671, 10768? 2*f**3 - 3*f**2 + 2*f + 10583 What is the c'th term of -120867, -241643, -362377, -483069, -603719, -724327, -844893? 21*c**2 - 120839*c - 49 What is the c'th term of -45150, -89810, -134470? -44660*c - 490 What is the p'th term of 579015, 4632181, 15633633, 37057515, 72377971, 125069145, 198605181? 579024*p**3 - p**2 + p - 9 What is the o'th term of -29718322, -59436635, -89154948, -118873261, -148591574, -178309887? -29718313*o - 9 What is the u'th term of 1296838, 1296815, 1296792, 1296769, 1296746, 1296723? -23*u + 1296861 What is the q'th term of 217613, 869727, 1956339, 3477449, 5433057, 7823163, 10647767? 217249*q**2 + 367*q - 3 What is the f'th term of -75143, -150275, -225407, -300539? -75132*f - 11 What is the m'th term of 2687, 10747, 24153, 42905, 67003, 96447? 2673*m**2 + 41*m - 27 What is the j'th term of -1880409, -3760806, -5641177, -7521510, -9401793, -11282014? 2*j**3 + j**2 - 1880414*j + 2 What is the b'th term of -1053, -2044, -3085, -4200, -5413, -6748, -8229, -9880? -4*b**3 - b**2 - 960*b - 88 What is the u'th term of -2484, -7860, -16082, -27150, -41064? -1423*u**2 - 1107*u + 46 What is the y'th term of 426118, 852225, 1278314, 1704379, 2130414, 2556413, 2982370, 3408279? -y**3 - 3*y**2 + 426123*y - 1 What is the w'th term of -64997, -130035, -195131, -260285, -325497? -29*w**2 - 64951*w - 17 What is the a'th term of 1568, 6036, 13464, 23834, 37128? -3*a**3 + 1498*a**2 - 5*a + 78 What is the j'th term of -628, -99, 1326, 4091, 8640, 15417, 24866, 37431? 74*j**3 + 4*j**2 - j - 705 What is the d'th term of -1480, -382, 1450, 4016, 7316, 11350? 367*d**2 - 3*d - 1844 What is the i'th term of -1675, -1320, -953, -568, -159, 280, 755? i**3 + 348*i - 2024 What is the x'th term of 3885, 3893, 3887, 3867, 3833, 3785? -7*x**2 + 29*x + 3863 What is the v'th term of -1947, -613, 3999, 11889? 1639*v**2 - 3583*v - 3 What is the w'th term of -77, 355, 1289, 2977, 5671, 9623, 15085, 22309? 42*w**3 - w**2 + 141*w - 259 What is the b'th term of -143461, -143567, -143843, -144373, -145241, -146531, -148327, -150713? -14*b**3 - b**2 - 5*b - 143441 What is the s'th term of 4790, 5218, 5886, 6794, 7942? 120*s**2 + 68*s + 4602 What is the f'th term of -1052395, -2104791, -3157187? -1052396*f + 1 What is the k'th term of 113, 447, 993, 1745, 2697? -k**3 + 112*k**2 + 5*k - 3 What is the k'th term of 539000651, 539000652, 539000653, 539000654, 539000655? k + 539000650 What is the s'th term of 40290, 80532, 120778, 161028, 201282? 2*s**2 + 40236*s + 52 What is the p'th term of 428795, 428771, 428747, 428723, 428699? -24*p + 428819 What is the c'th term of 105, -2239, -4571, -6885, -9175, -11435, -13659, -15841? c**3 - 2351*c + 2455 What is the a'th term of 192912, 385822, 578732, 771642? 192910*a + 2 What is the y'th term of 164345, 328673, 493001? 164328*y + 17 What is the q'th term of 63405, 63792, 64159, 64506, 64833, 65140, 65427? -10*q**2 + 417*q + 62998 What is the c'th term of 3795, 30448, 102857, 243918, 476527, 823580, 1307973? 3816*c**3 - 18*c**2 - 5*c + 2 What is the f'th term of -16185998, -64743990, -145673976, -258975956, -404649930? -16185997*f**2 - f What is the v'th term of 4094, 8109, 12006, 15725, 19206? -10*v**3 + v**2 + 4082*v + 21 What is the w'th term of -4562424, -9124844, -13687266, -18249684, -22812092, -27374484? w**3 - 7*w**2 - 4562406*w - 12 What is the j'th term of 788, -3734, -23942, -70204, -152888, -282362, -468994? -1728*j**3 + 2525*j**2 - j - 8 What is the f'th term of 15188, 61881, 139702, 248651, 388728, 559933? 15564*f**2 + f - 377 What is the d'th term of -32435456, -64870907, -97306358? -32435451*d - 5 What is the q'th term of -93024, -185939, -278854, -371769? -92915*q - 109 What is the k'th term of 199104, 398202, 597288, 796362, 995424, 1194474? -6*k**2 + 199116*k - 6 What is the w'th term of -5249, -8129, -11011, -13895, -16781? -w**2 - 2877*w - 2371 What is the y'th term of -887891, -887740, -887589? 151*y - 888042 What is the v'th term of 7573, 7149, 6725, 6301, 5877, 5453? -424*v + 7997 What is the f'th term of 467226, 467205, 467162, 467091, 466986, 466841? -f**3 - 5*f**2 + f + 467231 What is the u'th term of 18916747, 18916748, 18916749? u + 18916746 What is the f'th term of -1133359, -2266866, -3400373? -1133507*f + 148 What is the f'th term of -828, -3196, -7090, -12504, -19432, -27868, -37806? f**3 - 769*f**2 - 68*f + 8 What is the z'th term of 14387671, 28775340, 43163009, 57550678? 14387669*z + 2 What is the p'th term of -109343, -109185, -109027, -108869, -108711? 158*p - 109501 What is the f'th term of 34469, 68533, 102595, 136655, 170713, 204769, 238823? -f**2 + 34067*f + 403 What is the r'th term of 199888, 399778, 599668, 799558, 999448? 199890*r - 2 What is the h'th term of 16766, 66159, 148190, 262865, 410190, 590171, 802814, 1048125? h**3 + 16313*h**2 + 447*h + 5 What is the c'th term of 15595804, 15595770, 15595736? -34*c + 15595838 What is the s'th term of -8335785, -8335741, -8335693, -8335641? 2*s**2 + 38*s - 8335825 What is the t'th term of -2820976, -5642017, -8463058, -11284099? -2821041*t + 65 What is the y'th term of -328, -429, -598, -835, -1140, -1513? -34*y**2 + y - 295 What is the v'th term of -36860357, -36860359, -36860363, -36860369, -36860377, -36860387? -v**2 + v - 36860357 What is the a'th term of 1463, 1940, 3235, 5756, 9911? 68*a**3 + a**2 - 2*a + 1396 What is the y'th term of 5841, 46209, 155779, 369153, 720933, 1245721? 5767*y**3 - y**2 + 2*y + 73 What is the g'th term of -436694163, -873388325, -1310082487, -1746776649, -2183470811? -436694162*g - 1 What is the d'th term of -4104, -8091, -11972, -15747, -19416, -22979, -26436? 53*d**2 - 4146*d - 11 What is the c'th term of 409, 1014, 1937, 3172, 4713, 6554, 8689, 11112? -c**3 + 165*c**2 + 117*c + 128 What is the j'th term of 26047, 52506, 78941, 105352, 131739, 158102, 184441? -12*j**2 + 26495*j - 436 What is the g'th term of 1601, 1767, 2243, 3185, 4749, 7091, 10367, 14733? 26*g**3 - g**2 - 13*g + 1589 What is the k'th term of 13712142, 13712139, 13712136? -3*k + 13712145 What is the c'th term of 2246941, 2247275, 2247609, 2247943, 2248277, 2248611? 334*c + 2246607 What is the n'th term of -2237298, -2237280, -2237250, -2237208? 6*n**2 - 2237304 What is the d'th term of -2
{ "pile_set_name": "DM Mathematics" }
visor of 4274 and 34. 2 Calculate the highest common factor of 72186 and 13992. 318 Calculate the highest common divisor of 42345 and 16462795. 4705 What is the greatest common factor of 216 and 94215240? 72 What is the greatest common factor of 4830925693 and 293? 293 What is the greatest common divisor of 27993 and 13824027? 903 Calculate the greatest common divisor of 32582 and 85162. 22 Calculate the highest common divisor of 209590616 and 3912. 1304 What is the greatest common factor of 15843658 and 110014? 1642 Calculate the greatest common factor of 13750 and 2893330. 110 Calculate the highest common divisor of 330 and 75941250. 330 What is the highest common factor of 54809138 and 46? 46 Calculate the highest common divisor of 168388152 and 828. 276 Calculate the highest common divisor of 461220 and 1572. 12 Calculate the highest common factor of 12596 and 18512971. 3149 Calculate the highest common divisor of 24048937 and 11372. 2843 What is the greatest common divisor of 570922 and 16324? 22 Calculate the greatest common divisor of 8431959877 and 2563. 2563 What is the greatest common factor of 114555840 and 756? 84 Calculate the greatest common factor of 272 and 197812. 68 What is the greatest common factor of 17644 and 5368? 44 What is the greatest common factor of 12174 and 50905581? 6087 What is the greatest common factor of 14887028 and 936? 52 What is the highest common factor of 207166759 and 944? 59 Calculate the greatest common factor of 414 and 12077622. 414 What is the highest common divisor of 149400 and 1098? 18 Calculate the highest common factor of 3312105 and 6. 3 What is the highest common factor of 1290 and 43396632? 258 What is the greatest common divisor of 1444630 and 220? 110 What is the greatest common divisor of 1570704 and 410736? 2064 What is the greatest common factor of 32 and 5840152? 8 What is the highest common divisor of 24 and 19803864? 24 Calculate the greatest common divisor of 1060075 and 1475. 25 What is the greatest common divisor of 860 and 2791388? 172 What is the highest common factor of 31704 and 389298700? 5284 What is the greatest common divisor of 2592 and 87832? 8 What is the highest common divisor of 1271322 and 23751? 117 Calculate the greatest common factor of 95035422 and 66. 6 What is the greatest common divisor of 26310 and 29855? 5 Calculate the greatest common factor of 24 and 2984. 8 What is the greatest common factor of 18904321 and 7544? 943 Calculate the highest common factor of 10328100 and 82002. 1038 Calculate the greatest common factor of 2 and 82942841. 1 What is the highest common factor of 979812 and 765? 153 Calculate the greatest common factor of 7676 and 78377212. 404 What is the greatest common divisor of 8141490 and 630? 630 Calculate the highest common divisor of 888972383 and 52. 13 Calculate the highest common divisor of 12260665 and 335. 335 Calculate the greatest common divisor of 1126972 and 1624. 28 Calculate the greatest common factor of 286 and 6864429. 143 What is the highest common factor of 137 and 200119873? 137 What is the highest common divisor of 539653810 and 15350? 3070 What is the greatest common divisor of 1319986 and 39566? 146 Calculate the highest common factor of 770226 and 1237954. 2542 What is the highest common divisor of 2928 and 5063244? 732 What is the highest common factor of 26 and 608264813? 13 What is the greatest common factor of 75 and 6739575? 75 Calculate the greatest common factor of 600 and 76850. 50 What is the greatest common factor of 154707152 and 112? 16 What is the highest common divisor of 57143070 and 178600? 8930 What is the highest common factor of 76992616 and 40? 8 What is the highest common factor of 15 and 429626715? 15 What is the highest common divisor of 76292 and 164? 4 What is the highest common divisor of 30017195 and 65? 65 Calculate the highest common divisor of 9682 and 800504. 94 Calculate the greatest common factor of 207804987 and 117. 117 What is the highest common divisor of 47 and 470330081? 47 Calculate the greatest common factor of 56853410 and 10. 10 What is the greatest common factor of 12 and 2732786544? 12 Calculate the greatest common divisor of 12807 and 56313. 9 Calculate the highest common divisor of 253 and 129943. 11 What is the highest common divisor of 198069 and 24720? 309 What is the greatest common factor of 167988 and 7428? 12 Calculate the highest common factor of 77910 and 91875. 735 What is the highest common divisor of 80 and 4143216? 16 Calculate the greatest common divisor of 52 and 399340721. 13 What is the greatest common divisor of 19404980 and 2744? 196 What is the highest common factor of 2 and 670114? 2 Calculate the greatest common divisor of 5070492 and 210. 42 Calculate the greatest common divisor of 995289751 and 3441. 1147 What is the greatest common factor of 659 and 9593063? 659 Calculate the highest common factor of 458655 and 27980. 5 What is the highest common factor of 10096 and 164678380? 2524 Calculate the highest common divisor of 59533 and 518. 37 Calculate the highest common divisor of 72 and 130060116. 36 Calculate the highest common factor of 782072 and 52. 4 Calculate the highest common divisor of 198 and 8325372. 66 Calculate the highest common divisor of 69 and 606890811. 69 What is the greatest common divisor of 606 and 26845800? 606 What is the greatest common factor of 284 and 1179740828? 284 Calculate the greatest common divisor of 4307104 and 100. 4 Calculate the highest common divisor of 13199790 and 549. 183 What is the greatest common factor of 14008 and 45430416? 824 Calculate the highest common divisor of 630168 and 34286. 434 What is the greatest common divisor of 294690 and 654555? 165 Calculate the greatest common factor of 7085 and 15014205. 545 Calculate the highest common factor of 39 and 516134541. 39 Calculate the greatest common divisor of 1216 and 6433184. 32 Calculate the greatest common factor of 1658 and 308044794. 1658 Calculate the highest common factor of 814328632 and 312. 104 What is the highest common factor of 6586 and 53756? 178 What is the greatest common factor of 4798931 and 427? 61 What is the highest common divisor of 51580815 and 121965? 2595 What is the greatest common factor of 1774866 and 1083? 57 What is the highest common factor of 316376 and 568? 568 What is the highest common factor of 16525132 and 58466? 1886 What is the highest common divisor of 20787 and 209059? 41 What is the greatest common factor of 2995944 and 23324? 476 What is the highest common factor of 2397 and 276104837? 799 What is the highest common divisor of 372 and 1970772? 12 What is the highest common factor of 1631597 and 2266? 11 Calculate the greatest common factor of 327460416 and 2289. 327 What is the highest common divisor of 86800 and 180544? 3472 Calculate the highest common divisor of 23518 and 23900702. 2138 Calculate the greatest common factor of 11 and 1146871. 11 What is the highest common factor of 6175124 and 294532? 628 What is the greatest common divisor of 2002 and 1037322? 286 What is the highest common factor of 9563870 and 15? 5 Calculate the greatest common divisor of 215489792 and 798. 266 Calculate the greatest common factor of 2104732 and 476. 28 Calculate the greatest common factor of 52 and 7597798. 26 Calculate the highest common divisor of 10020985 and 1105. 65 Calculate the highest common factor of 4156 and 70571997. 1039 Calculate the highest common factor of 1426 and 775558. 62 Calculate the greatest common factor of 183470583 and 6. 3 Calculate the highest common factor of 4593 and 263373337. 1531 What is the greatest common divisor of 978503 and 527? 17 What is the greatest common factor of 1854544 and 14787? 31 Calculate the greatest common divisor of 24924544 and 544. 32 What is the highest common factor of 8448948 and 1296? 324 What is the greatest common divisor of 538935 and 900055? 305 What is the highest common factor of 356874 and 119798? 14 What is the highest common divisor of 78208 and 8572? 4 Calculate the greatest common divisor of 2624 and 19048928. 1312 Calculate the greatest common divisor of 499122 and 1659. 237 Calculate the highest common factor of 114 and 106913931. 57 Calcula
{ "pile_set_name": "DM Mathematics" }
h be l(-9). Let w be y(h). Solve o = w*o for o. 0 Let t be 6/18 - 42/(-9). Solve -t*z + 6 = -14 for z. 4 Let v = 0 + -1. Let d be ((-9)/15)/(v/5). Solve -d*r + 7 = 1 for r. 2 Suppose 2*s + 0*x - 2*x - 30 = 0, 0 = -2*s + 5*x + 27. Suppose s = 2*f + 2*f. Solve m - 1 = -f for m. -3 Suppose 2*b - 3*b = -8. Let y(x) = x**3 - 3*x**2 + 2*x - 4. Let r be y(3). Suppose 3*v - 8*v = -r*w - 14, 5*w - 7 = 2*v. Solve v*j = 2*j - b for j. -4 Let i(r) = r. Let z(h) = 5*h - 8. Let n(u) = 6*i(u) - z(u). Let a be n(0). Solve 0 = -0*c + 4*c + a for c. -2 Suppose 2*d - 5*s = -11, 0*s = 3*d - 2*s. Let v(z) = z**3 + 6*z**2 - 5. Let g be v(-5). Suppose 0 = 3*i + d*i - g. Solve -i + 1 = -3*c for c. 1 Let w = 62 - 35. Suppose -12 = p - 4*q - 0*q, w = 4*p - q. Solve k + p = 3*k for k. 4 Let l be 6/2 + -4 + 1. Suppose -2*q = 5*c, 5*c + q + 4*q = l. Solve -5*r + 5 + 0 = c for r. 1 Suppose 2*a = -3*a + 125. Solve 0 = 5*t - 0*t + a for t. -5 Suppose c - 3*o - 3 = -2*c, 4*c + 5*o - 13 = 0. Suppose -c*a + 2*r - 12 = -2*r, -19 = -a - 3*r. Suppose a = f - 0*f. Solve -k + f = 2 for k. 2 Suppose -3*w + 6 = -18. Suppose k = 3*k - w. Solve 3*s + k = -11 for s. -5 Let a(l) = l**2 - 4*l + 4. Let p be a(4). Solve 0 = t - p for t. 4 Let m be -2 + 0 + 5 + 7. Let p(l) = -l**2 - 6*l + 3. Let q = -13 + 7. Let x be p(q). Solve x*z = z - m for z. -5 Suppose 0 = -6*k + 3*k + 6. Suppose q = 5*q - 16. Let b(m) = m**3 - 3*m**2 - 3*m - 1. Let i be b(q). Solve k = -5*z - i for z. -1 Suppose 0 = 4*l - 0*l - 8. Let z(v) = -v**3 + 4*v**2 + 6*v - 5. Let p be z(5). Solve p = l*q - 7*q + 25 for q. 5 Suppose 40 + 20 = 4*t. Suppose -o = 4*a - 7*a - 15, -3*a = t. Solve -3*y + o = -3 for y. 1 Suppose 7 = 2*j - 1. Let r(f) = -8*f + 5. Let x(s) = -s. Let n(g) = -r(g) + 6*x(g). Let h be n(4). Solve 1 = -h*p + j*p for p. 1 Let p be (-3)/6 + 2/4. Suppose -6*w + 34 = 10. Let x be -1*-1*(w - 0). Solve x*h + p*h = -20 for h. -5 Let g(r) = r**2 - 8*r + 6. Let q be g(8). Solve 3*m + 0 = q for m. 2 Let m be 1/(1 + 15/(-12)). Let g be 4/8 + (-6)/m. Let b = 0 + g. Solve -b*u - 1 = 1 for u. -1 Suppose 5*k - 32 = 4*t, -3*k - 2*t = t - 3. Suppose 2*a - 2 = 3*a + 2*c, 0 = -k*c - 8. Solve a*x = -2 - 2 for x. -2 Suppose -3*s + s = -4. Solve -12 = -a - s*a for a. 4 Let r = -8 + 12. Suppose 2*l + 4 = -3*k, -r*l - l - 21 = 2*k. Solve -k*b - 7 = 1 for b. -4 Suppose 2*m + 4*u + 24 = 6*m, 3*m + 3*u - 6 = 0. Solve j - 1 = m for j. 5 Let p be 0 + 1*(13 - 3). Suppose 4*t = -2*r + 12, t + 5 = r + 2*t. Let b be -1 + r + (1 - 2). Solve b*h - p = -3*h for h. 2 Let r be (-16)/(-20) + (-42)/(-10) + -1. Solve -12 = -k + r*k for k. -4 Suppose 0 = -j, -2*n - n - 4*j = -9. Suppose n*u - 5 = 1. Solve r + u = 3 for r. 1 Let g(j) = 3*j**3 - j**2 + 2*j - 1. Let b be g(1). Solve -b = 2*n + n for n. -1 Let p(y) = -y**2 - 6*y - 1. Suppose -25 = 3*x + 5*q, -4*x = -0*q + 2*q + 24. Let o be p(x). Solve d + o = 5 for d. 1 Let r(d) = 5*d + 6. Let v be r(0). Solve 0 = -3*y + 18 - v for y. 4 Let c(s) = -s**3 - 6*s**2 - s - 5. Let i(o) = o**3 + 4*o**2 - o + 7. Let h be i(-5). Let x be 1/2 + h/2. Let m be c(x). Solve -19 = -5*a + m for a. 4 Suppose 25 = k + 4*k. Solve -k*j + 0 + 10 = 0 for j. 2 Let v = -17 - -13. Let s(w) = w**2 + 4*w. Let n be s(v). Solve 5*i + 4 - 14 = n for i. 2 Let h(q) = 3*q - 23. Let t be h(10). Solve -p - 2 = -t for p. 5 Let m(r) = -r**2 + 4*r - 3. Let d be m(3). Suppose -5*t + 184 + 1 = d. Let n = 62 - t. Solve n = -5*s - 0*s for s. -5 Let j(z) = z**2 + 15 - 3*z**2 - z + 3*z**2. Let i = -11 + 11. Let c be j(i). Solve c = -2*v - v for v. -5 Suppose -12 = 4*s, 0 = -l - 3*s - 0 - 1. Solve -3*j + 7*j = -l for j. -2 Let a = -24 + 24. Solve -5*x + 4*x + 2 = a for x. 2 Let s be (-9)/(-1*(3 + 0)). Solve -5*l = -s*l for l. 0 Suppose -2*m - 26 = 5*w - 6*m, -2*m + 10 = -2*w. Let z = w + 9. Solve -z*g + 3 + 3 = 0 for g. 2 Let d(z) be the second derivative of -z**4/12 + z**3 - 2*z**2 + 3*z. Let r be d(4). Solve 4*x + 16 = -r for x. -5 Let g = -2 + 5. Solve g*m - 10 = -2*m for m. 2 Suppose 3*o - 2*a = 0, -a = o - 3*o + 1. Suppose 0 = -2*j + 5*t - t, -o*j = 5*t - 18. Let l = -9 + 13. Solve 0 = -j*s - l - 0 for s. -1 Suppose 3*u = -5 + 62. Suppose -3*z = 11 - 20. Solve 7 = z*b + u for b. -4 Suppose 3*p + 4 = 5*p. Suppose -2*q + 204 = 200. Solve -p - q = 2*r for r. -2 Let l(d) = -d - 1. Let v be l(-3). Suppose -5*i + 9 = 3*h - 25, i = -5*h + 20. Solve i = v*s - s for s. 5 Suppose 12 = 5*u - 3, 16 = 5*j + 2*u. Solve j*q = -q - 3 for q. -1 Let d = -42 - -27. Let j = d + 17. Solve -j*u = -0*u + 2 for u. -1 Let s = -22 - -30. Solve 4*l = 2*l - s for l. -4 Let p(m) be the first derivative of m**4/4 - 4*m**3/3 + m**2/2 - 4*m - 2. Let j be p(4). Let q = 5 + j. Solve -3*x - 6 = -q*x for x. 3 Suppose 0 = -m + 5*m. Solve m*j - 6 = 3*j for j. -2 Suppose 3*i = -0*i. Solve 4*p + 0*p = i for p. 0 Let o(k) = -k**3 + k**2 + k - 1. Let l be o(1). Let v be l*1*3/(-3). Solve 4*j = -v*j - 20 for j. -5 Suppose -2*y - 2*r = -12, -4*y + 3*r - 6 = -2. Solve 0 = y*s - 4*s for s. 0 Suppose -4*c - 49 = 5*p, -3*p = -c + 2*p + 19. Suppose -3*n - 20 = n. Let h be c/10 + (-3)/n. Solve h = 3*a - a + 6 for a. -3 Suppose 16 = -s + 3*s. Let g(u) = u**3 - 6*u**2 + 4*u + 5. Suppose -2*j = 5*n - 20, -5 = -3*j - n + 6*n. Let x be g(j). Solve x = 5*r + s + 2 for r. -2 Let l = -13 + 3. Let r = 10 + l. Solve 4*z + r = -8 for z. -2 Let l be (-5)/(-3) - (-1 + 4/6). Solve 0 = -l*p + 6 for p. 3 Let k = -138 - -146. Let j(h) = -8*h**2 + 8 + 1 - 2*h + h**3 + h. Let n be j(k). Solve -n + 0 = -m for m. 1 Let s be 9 - ((-3)/(-2))/(21/56). Solve -y + s = 4*y for y. 1 Let o be 14/4 + 10/20. Solve -5 - o = -3*u for u. 3 Let q(g) = g**2 - 4*g - 5. Let z be q(5). Solve z*a = 4*a + 4 for a. -1 Let u(l) = l**3 - 4*l**2 + 4*l - 4. Suppose 0 = -4*x + 8 + 4. Let y be u(x). Let i be y*(-3 + 2 - 6). Solve -1 - i = -2*g for g. 4 Suppose -6*n + 16 = -2*n. Let o be (n/(-5))/((-6)/165). Suppose 3 = 5*x - o. Solve 4*l = 9*l - x for l. 1 Let s be ((-2)/(-4))/((-2)/(-68)). Let t be -8*((-3)/9)/((-20)/(-15)). Solve 3*k + s = t for k. -5 Let f be -2*-1*(-4 + 18/3). Solve 0*i = -2*i - f for i. -2 Let m(d) = -d**2 - d + 2. Let f be m(-2). Let k = 27 + -3. Suppose -b + k = 4*x, 4*b - 4*x = -b + 24. Solve 4*q + b = -f for q. -2 Let g be (-2 - 0)/((-3)/12). Suppose 1 = -k + 4*w + g, 1 = -3*k + w. Let x = k - -5. Solve 10 = x*a + a for a. 2 Suppose -3*o = -11*o. Solve o = -0*x + x for x. 0 Suppose 3*r + 0*r = 9. Suppose 3 = 4*u + 5*t, 3*u + 0*t + 3*t = r. Let a = 29 - 29. Solve u = -a*f - f for f. -2 Suppose 1 = 3*x - 14. Solve 0*t - 5 = -x*t for t. 1 Let s be 2/8 + 3/(-12). Suppose -l = 3*l + o - 26, s = -o + 2. Solve 2*m + 2 + l = 0 for m. -4 Let w = 8 + -6. Let x be 4/(-1)*(-12)/(-16). Let y be (5 + 1)/w + x. Solve -2*v = -y*v - 8 for v. 4 Let u be (-6)/((16/(-2))/4). Let z be 3/(-1*u/(-2)). Solve -4 = -z*w + 6*w for w. -1 Let z = 30 - 26. Solve t + z*t = 0 for t. 0 Suppose 0*q = -4*q. Let v(s) = 4*s**2 - 4*s + 3. Let k be v(3). Let f be 9/k - 22/(-6). Solve q*h - f*h = 0 for h. 0 Let w(y) = -4 - 18*y + 15*y + 1. Let v be w(-2). Let l = -4 - -6. Solve 0 = -f + v*f - l for f. 1 Suppose 3*g + g = -k + 6, -k - 5*g = -11. Let z = 6 - k. Solve -t = 4*t + z for t. -4 Let t be (0 - 1)/((-2)/38). Let r = t + -15. Solve -r = -o - 1 for o. 3 Let b = -8 + 11. Let w be -2 + -2 + (2 - 2). Let v be b + 0 + (-8)/w. Solve -v*p = -13 - 12 for p. 5 Let s be (1 - 2) + 2 + 3. Suppose l - m = 4, s*m = 3*m - 1. Let r(o) = -o**2 - 5*o - 4. Let h be r(-4). Solve h = 4*d - l*d for d. 0 Let v(x) = -2*x - 7. Let t be v(-5). Let l be (t/(-2))/((-2)/16). Solve 4*m = l + 8 for m. 5 Let o = 0 - -4. Suppose -5*t - o*i = -8*i + 4, 4*t + 3*i - 3 = 0. Solve t*u = u - 4 for u. 4 Suppose 15 = -5*g, 0 = 3*y - 5*g - 0*g - 27. Let j be 4 - 2/6*3. Solve j*d = d - y for d. -2 Let l be 2*(-9)/6 + 8. Solve 0*f = -f - l for f. -5 Let c = -7 + 7. Suppose c = 6*a - a + m, m = -3*a. Let d = 9 + -7. Solve -2*w + d + 2 = a for w. 2 Let f = -30 - -32. Solve l - f*l = 4 for l. -4 Suppose 3*d = 4*p - 7 - 2, 0 = 2*p + 2*d - 8. Suppose -u - 4*u = 4*v + 28, -p*u = -3*v - 21. Let y(o) = -3*o - 1. Let n be y(v). Solve 4*x + 0*x = -n for x. -5 Suppose 4*t = 5*t - 5*a + 29, 4*t = -5*a - 16. Let w = -7 - t. Solve 0*i = -w*i for i. 0 Let z be 8/3 - (-2)/(-3). Solve 0*o = -z*o - 10
{ "pile_set_name": "DM Mathematics" }
2 for p. 0 Solve 3 = -4*a - 53*o + 80*o - 24*o - 42, -33 = -3*o for a. -3 Solve 0 = 13604*d - 13609*d - 4*b + 5*b - 3, d = b - 3 for d. 0 Solve 6*n - n - 52 = n, 45*n - 43*n = -v + 24 for v. -2 Solve -p = 5*t - 2327 + 2354, -5*t = -p + 3 for p. -12 Solve 0 = -x - 2*d - 31, -341 + 9 = 16*x + 3*d + 106 for x. -27 Solve 4*v - 113751 = 3*n - 113717, n + 46*v = 320 for n. -2 Solve -668*g + 1314*j = 1310*j - 700, -4*g - j - 4 = 0 for g. 1 Solve 9 = 22841*h - 22838*h + 3*f, -3 = 11*h - f for h. 0 Solve 3*f + f + 11 = 19, 0*k - 3*f + 2 = -3*k + k for k. 2 Solve j = -3*j - 20*p + 68, -7*j - 6 = -4*j - 4*p for j. 2 Solve -59*t - 38*t = 60*p - 65*p - 985, 2*p + 23 = 9*t - 73 for t. 10 Solve -6*r + 1 + 22 = -4*r - 3*t, -3*r - t - 28 + 35 = 0 for r. 4 Solve 2*b = -4*h - 18, -64750*b = -h - 64744*b + 80 for h. 2 Solve 2*v = -i - 4, 105*i - 4*v = 118*i + 96 for i. -8 Solve -138*w + 2 = -5*g - 274*w + 135*w - 9, 27*g - 2*w + 52 = 0 for g. -2 Solve 57*y - 27*y - s + 6 = 32*y, 2*y - 216 = -22*s for y. -2 Solve 0*w - 5*w = -4*n + 221, -838*n - 8*w = -843*n + 355 for n. -1 Solve 2*h = -395*m + 399*m - 10, -5*m + 3*m - 25 = 5*h for m. 0 Solve -16 = 3*p + q, -1953*p + 1966*p + 68 = -3*q for p. -5 Solve -10 = -17*h + 58, -5*h + 4288 = -3*m + 4268 for m. 0 Solve -1090*r + 366*r - k + 9 = -358*r - 365*r, 0 = 3*k for r. 9 Solve 0 = f - 4*c + 6, -5*f + 757 = 6*c + 9*c + 717 for f. 2 Solve 5*f + 25 = -21*x + 24*x, -x + 2*x + 5*f = -25 for x. 0 Solve -30 = -i - 4*g, 5*i + g + 137 - 51 - 53 = 50 for i. 2 Solve d - 41089 + 41092 = 3*o, -2*d - o - 6 = 0 for d. -3 Solve -26 + 3 = -210255*z + 210250*z - l, -4*z + 31 = 5*l for z. 4 Solve -4*n = -5*c - 70, 10 = 5*n + 419*c - 421*c - 1 for n. -5 Solve 322*v + 5*h = -348 + 1164, -v - 2*v - h = 21 for v. 3 Solve 3*c = -4*t + 1157 - 1160, 143*t = -4*c + 409 for c. -5 Solve o + 5*k - 16 = -0, 0*o = o + k - 5*k + 11 for o. 1 Solve -276 = -43*j - 4*r, 20*j - 18*j + 122 = 5*r for j. 4 Solve -88525*o - 2*j = -88523*o + j - 28, 4*o + 39*j = 320 for o. 2 Solve 2*r - 168 = -4*d, 2*r + 2578 - 5471 = -3*d + 4*r - 2760 for d. 43 Solve -o - 11*j + 89 = 0, -1304*o - 6*j + 30 = -2606*o + 1300*o - 2*j for o. 1 Solve -2 = 2*s - 2*b - 0, -69*s - 17*b = -67*s - 93 for s. 4 Solve 0 = -3*t + 4*v + 9, 3698*t + 2*v = 3748*t - 344 for t. 7 Solve -13*y - 23*y + 33*y - 72 = 4*x, -5*x - 90 = 25*y for y. 0 Solve 16 = 2*o + 2*o - 2*p, 12*p - 14*p + 9 = o for o. 5 Solve q = -4*f + 2, q + 369 = -2*f + 167 + 204 for f. 0 Solve -j - 73 = -4*b, 0 = -128*b + 125*b - 70*j - 299 for b. 17 Solve -175*i + 4*r = -180*i - 186, i - 8*r - 400 = -3*i for i. 2 Solve -21*q + 16*q + 158 = 66*c - 70*c, -c = 2*q + 33 for c. -37 Solve -3*v + 2*g - 39 = 0, 15*v + 42*g + 4*g + 117 = 42*g - 78 for v. -13 Solve 5*h + 5*q + 16469 = 3*h - h + 16300, 0 = 3*q + 105 for h. 2 Solve -l - 3*l + 36*f - 113*f + 1 = -38*f - 40*f, 0 = 16*l + 16*f - 144 for l. 2 Solve -3*a + 68 = -2*i, 112 = 5*a - 2075*i + 2071*i for a. 24 Solve -2*s - 10 = 1644*r - 1642*r + 2*s, -5*r - 4*s - 19 = 0 for r. -3 Solve 0 = 5*i + 3*n + 9, -35*n = -8*i + 5*i - 31*n + 12 for i. 0 Solve 4*o - 3*v + 49 = 0, -8336*o - 8188*o = -16377*o - v + 1473 for o. -10 Solve -2*r - 19 = 3*h, 4*r + 1119999 = -4*h + 1119975 for h. -7 Solve -5*y = -5*g + 6242313 - 6242223, -5*g - 21*y - 222 = 0 for g. 6 Solve -602*i + 601*i + d = 21, -i = 21*d - 397 for i. -2 Solve -291*x = -8*s - 289*x + 12, -x - 12 = 2*s for s. -1 Solve 3*s - 2 = -h + h - 11 + 3, 6*h + 38 = 10*h - 9*s for h. 5 Solve -221*y + 223*y = -j + 17, -35 + 4 = -y - 2*j for y. 1 Solve 25069 = 5*v + 3*y + 25050, -4*v - 5*y = -10 for v. 5 Solve -30*l - x = -26*l + 35, 14*l + 5*x - 52 + 197 = 0 for l. -5 Solve 2*i - 34 = 4*s, -14*s + 4*s - 2*i = -156 + 206 for s. -6 Solve 7*s + n = -2*n - 218, 7*s - 4*n = 353 - 144 for s. -5 Solve -52*x - 11*y + 63 = -48*x, -24 = -2*x + 2*y for x. 13 Solve -6*a - 2*a + 2*a = -67*x + 473, -a + 7 - 3 - 7 = 4*x for a. -23 Solve 21*t = -3*s - 30*t - 54, 2*t = -44*s - 39*s + 80*s - 54 for s. -18 Solve -12*r + u - 3*u = -28, -6*r + 3*u + 2 = -2*u for r. 2 Solve -21*t + 3*p + 32 - 44 = -22*t, 4*t = 4*p - 32 for t. -3 Solve -15*z = 3*r - 255, 5*z + 13192*r - 255 = 13189*r for z. 0 Solve 9*s + u + 2886 = 3306, 10*s = u + 473 for s. 47 Solve 5*y - 35 = 2*d, -2738*d + 2740*d = -3*y + 5 for y. 5 Solve 28 = 2*w + 3*m, -8*w + 3813*m + 3811*m - 7620*m = -80 for w. 11 Solve -70*m + 11110 - 13770 = 0, -4*s + 156 = -4*m for s. 1 Solve 48 = -v, -5*i - 4211 = 201*v + 5457 for i. -4 Solve 44*r - 29*r + 94 = 10*r - 30*v + 524, 50 = 4*r + 3*v for r. 2 Solve -16*c - 5*u = 34, 5*u + 153969 = -c + 153995 for c. -4 Solve 9 = 13*o + 87, -16*f + 4 = -20*f - 2*o for f. 2 Solve -y - y = -520117*k + 520115*k + 24, 7*k = -2*y + 75 for y. -1 Solve -1392*c + 3*v + 43 = -1412*c, -4*c - 29 = 21*v for c. -2 Solve 331789*y - 331785*y + 3*t = 268, 156 = 3*y + t - 40 for y. 64 Solve 28 = -4*t - 3*x, 210 - 101 = -50*t + 2*x - 399 for t. -10 Solve -3*w - 6*c = 5 + 34, -1 = w + 1988*c - 1989*c for w. -5 Solve 3*t - 61 = -4*r, 45 = 9*r + t + 63 for r. -5 Solve p = 13*v + 82, -54*v + 49*v + 71 = 2*p for v. -3 Solve -3771*l + 3770*l = -c + 65, 6*l + 379 = -5*c for c. 1 Solve -8*b = -3*u - 4*b + 29*b - 1303 + 100, 4*u + 4*b = 124 for u. -5 Solve -50 = -39*n + 44*n + 15*r, 0 = -2*n + r + 1 for n. -1 Solve -5*j - 1793 = -4*k - 1794, 25*k - 3*j - 74 = -52 for k. 1 Solve -17 = -2*c + 4*y - 73, -6*c + 87 = 5*y for c. 2 Solve 0 = -2*z + 3*v + 18, -37*z - 117*z + v + 146 = -144*z for z. 15 Solve -5*t = -g + 364, 35*g + 209295 - 209260 = 0 for t. -73 Solve 3*m = -5*l + 5, 5070 = -2*m + 7*l + 2531 + 2501 for m. -5 Solve 350*g - 24 = -3*t - t + 351*g, -12*t + 5*g = -144 for t. -3 Solve -4*q = 3*c - 27, 7803*q - 2*c + 11 = 7813*q - 51 for q. 6 Solve 22723 = u + 2*c + 22730, 4*c + 15 = -14 + 9 for u. 3 Solve -5*m - 5 = -4*t, -t - 47*m - 46*m = -91*m - 6 - 5 for t. 5 Solve -3*r + 43 = -60115*g + 60113*g, 14 = -r - 5*g for r. 11 Solve -89 = g - 3*z - 73, 3*z = -15 for g. -31 Solve 0 = -h - 12*q + 88, -5*h + 7*h + 24*q - 80 = -11*h + 20*q for h. 4 Solve 28*q - 3*a = 24*q + 35, -1 - 30 = -2*q + 3*a for q. 2 Solve 5*h + 1131*t - 1126*t - 51 = 149, 5*h = 4*t - 187 for h. -3 Solve -5*z - 38 = -b, -3*z + 5*z - 9*b + 1298 = 1085 for z. -3 Solve 4*g + 1617*v + 31 = 1612*v, 3*g = -v - 26 for g. -9 Solve -159*a - 3 = -164*a + k + 4, 14*k - 272 = -20*k for a. 3 Solve -2*z - 2*x = -2*z + 14, -5*x - 269 = -25*z - 739 + 355 for z. -6 Solve -3*c - 209 - 281 + 169 = 90*l, 3*c + 147 = -3*l for c. -47 Solve 341*v - 4*t = 340*v - 25, -v - 25 = 8*t for v. -25 Solve -5924*y - b - 22 = -5921*y + 45, 6*b + 35 + 12 = -3*y + 5 for y. -24 Solve 0 = -178*i + 33*i, 2*i = -q + q + 3*q - 7*q - 4 for q. -1 Solve 4*z = -17*j - 213 + 51, -9*z + 6*z + z - 5*j - 88 = 0 for z. -49 Solve -2*x - 2*n - n = -2 - 22, -7*x + 9*x - 4*n = -46 for x. -3 Solve 5*g + 461216 - 461231 = -5*a, -5*g + 15 = -5*a for a. 0 Solve -45 = 3*b + 3*m, 22*m = -2*b - 3*b + 2258 - 2384 for b. -12 Solve -4*z - z - 268 = 3*d - 149, 0 = d - 9*z + 29 for d. -38 Solve -5*y - 3*b - 88 = 0, -2*y - 320*b + 158*b - 33 = -163*b for y. -17 Solve 0 = -5*o + 2*m + 4088 - 3892, -5*o = m - 202 for o. 40 Solve 80 = -2*w - 4*q, 5*w - 21190 = 2*q - 21174 for w. -4 Solve -4*i = -3*i - 3*j - 32, 4*i - 656720*j + 656719*j - 73 = 0 for i. 17 Solve -3*c - 64 = -5*u, -5*c = -93805*u + 93800*u + 70 for u. 11 Solve 2*v + 4*o - 156 = 24*v + o, 0*v + 43*o = 4*v + 45*o + 8 for v. -6 Solve -14 = 5*x - 4, -245*x = -2*u - 248*x + 4 for u. 5 Solve w - 43 = 2*b, 550 = -26*b - 5610*w + 5614*w for b. -21 Solve -4*q - 2*i + 56 = 2*i, -612 = -q + 5*q - 38*i - 122 for q. 1 Solve -5*p + 7*s + 154 - 91 = 0, 32 = 2*p + 4*s for p. 14 Solve -483 = -q - 4*u - 507, -q - 28*u - 1212 = 174*u for q. 0 Solve -5*w + 400 = -21*n - 14*n, 44*w = 3*n + 85*w - 42*w + 36 for n. -11 Solve -3*s = -26 + 11, -69 = -0*y + 2*y - s - 4 for y. -30 Solve -4*b + 4*f = -24, -75 = 12*b - 5*f - 147 for b. 6 Solve 611*n + 94 = 7*a - 10*a + 613*n, -4*n + 198 = -a for a. 2 Solve -5*x + k = 5*k + 123, 70*k = -3*x + 67*k - 90 for x. -3 Solve 45*x + 268*s - 264*s - 65 - 1 = 40*x, -2*x - 3*s = -32 for x. 10 Solve -57*o - 229 = h, -2*o + 81 - 84 = -5*h for o. -4 Solve -4*j - 3*j - 5*y + 125 = -11*j - j, 3*y - 125 = 13*j for j. -5 Solve -45 = -
{ "pile_set_name": "DM Mathematics" }
256 What is 2 (base 5) in base 16? 2 Convert c6 (base 14) to base 16. ae -101 (base 4) to base 13 -14 -2 (base 7) to base 2 -10 What is 18 (base 13) in base 11? 1a Convert -2 (base 6) to base 14. -2 31 (base 4) to base 11 12 What is 8 (base 9) in base 8? 10 What is 9 (base 11) in base 16? 9 What is -34 (base 8) in base 4? -130 Convert 10001 (base 3) to base 7. 145 -129 (base 14) to base 16 -e9 What is -26 (base 16) in base 8? -46 What is -3 (base 5) in base 14? -3 What is -11 (base 8) in base 10? -9 Convert -53 (base 10) to base 14. -3b Convert -4 (base 15) to base 11. -4 Convert 145 (base 8) to base 9. 122 Convert 4b (base 12) to base 3. 2012 What is 24 (base 7) in base 11? 17 Convert 121 (base 7) to base 3. 2101 What is 1 (base 16) in base 7? 1 0 (base 13) to base 12 0 What is -75 (base 15) in base 14? -7c Convert -26 (base 13) to base 7. -44 -4 (base 12) to base 15 -4 44 (base 11) to base 15 33 Convert -6 (base 13) to base 7. -6 Convert -3 (base 12) to base 3. -10 What is -1 (base 8) in base 11? -1 1 (base 14) to base 11 1 -304 (base 6) to base 12 -94 5 (base 14) to base 6 5 Convert 2 (base 13) to base 14. 2 What is -116 (base 10) in base 11? -a6 What is 66 (base 12) in base 11? 71 606 (base 8) to base 16 186 Convert 32 (base 5) to base 7. 23 What is 1 (base 12) in base 13? 1 Convert -64 (base 13) to base 4. -1102 Convert 14 (base 5) to base 6. 13 Convert -5b (base 14) to base 12. -69 7 (base 9) to base 6 11 Convert 2 (base 7) to base 9. 2 What is 33 (base 8) in base 16? 1b -222 (base 4) to base 11 -39 What is 152 (base 6) in base 5? 233 Convert -10100 (base 2) to base 11. -19 What is -2 (base 15) in base 7? -2 What is -1 (base 13) in base 12? -1 -12210 (base 3) to base 10 -156 -4 (base 11) to base 8 -4 What is 10 (base 3) in base 2? 11 Convert 7 (base 15) to base 10. 7 111 (base 5) to base 2 11111 What is 1a (base 13) in base 12? 1b Convert 237 (base 8) to base 11. 135 What is -230 (base 7) in base 2? -1110111 What is 12 (base 14) in base 16? 10 Convert 11 (base 8) to base 12. 9 Convert 0 (base 5) to base 11. 0 What is -302 (base 4) in base 8? -62 11 (base 7) to base 13 8 Convert -1 (base 8) to base 7. -1 5 (base 9) to base 2 101 What is -7a (base 13) in base 3? -10202 What is 0 (base 15) in base 14? 0 -b (base 12) to base 15 -b Convert -115 (base 7) to base 13. -49 -14 (base 15) to base 4 -103 10000 (base 3) to base 9 100 0 (base 3) to base 11 0 -5 (base 8) to base 10 -5 What is -12 (base 15) in base 12? -15 What is 0 (base 13) in base 11? 0 Convert 133 (base 4) to base 8. 37 What is 0 (base 10) in base 16? 0 -22 (base 10) to base 11 -20 Convert -300 (base 8) to base 7. -363 26 (base 7) to base 2 10100 -44 (base 16) to base 7 -125 What is 45 (base 7) in base 8? 41 What is 1 (base 4) in base 9? 1 Convert -3d (base 15) to base 6. -134 Convert -9 (base 14) to base 10. -9 Convert 2 (base 4) to base 10. 2 -22 (base 15) to base 4 -200 -2 (base 8) to base 6 -2 Convert 2 (base 6) to base 3. 2 Convert -65 (base 12) to base 3. -2212 2 (base 10) to base 5 2 -2 (base 16) to base 10 -2 What is -6 (base 13) in base 2? -110 -79 (base 14) to base 4 -1223 What is 4 (base 11) in base 4? 10 What is 1 (base 16) in base 9? 1 0 (base 14) to base 4 0 12 (base 4) to base 5 11 What is -4 (base 8) in base 6? -4 Convert -42 (base 8) to base 11. -31 Convert 504 (base 7) to base 15. 119 Convert -43 (base 8) to base 11. -32 What is -22 (base 7) in base 9? -17 c2 (base 14) to base 13 101 What is 4 (base 16) in base 6? 4 -42 (base 14) to base 15 -3d Convert 3 (base 4) to base 9. 3 Convert -26 (base 14) to base 9. -37 Convert 0 (base 10) to base 14. 0 10 (base 11) to base 8 13 What is 50 (base 16) in base 8? 120 What is 156 (base 11) in base 7? 350 Convert 3 (base 12) to base 16. 3 What is -25 (base 11) in base 14? -1d 0 (base 8) to base 10 0 What is -19 (base 12) in base 15? -16 Convert 1 (base 8) to base 6. 1 -21 (base 7) to base 10 -15 What is 110 (base 3) in base 4? 30 What is 18 (base 11) in base 16? 13 Convert 23 (base 10) to base 9. 25 What is 4 (base 12) in base 5? 4 Convert 220 (base 7) to base 11. a2 22 (base 3) to base 6 12 What is 11 (base 2) in base 5? 3 What is -35 (base 15) in base 6? -122 What is -12 (base 6) in base 7? -11 Convert -259 (base 11) to base 9. -370 Convert 26 (base 10) to base 16. 1a Convert -2 (base 11) to base 16. -2 Convert -54 (base 8) to base 9. -48 What is -4 (base 6) in base 3? -11 Convert -100 (base 3) to base 2. -1001 What is -4 (base 16) in base 10? -4 -38 (base 9) to base 16 -23 8 (base 13) to base 16 8 -1 (base 8) to base 16 -1 Convert -9 (base 14) to base 5. -14 Convert 1 (base 11) to base 9. 1 Convert 35 (base 6) to base 16. 17 -51 (base 7) to base 16 -24 What is -232 (base 7) in base 4? -1321 0 (base 3) to base 6 0 Convert -1 (base 8) to base 9. -1 -20 (base 16) to base 10 -32 -2 (base 8) to base 3 -2 Convert -322 (base 5) to base 6. -223 -1002 (base 3) to base 6 -45 Convert -1b (base 16) to base 10. -27 -142 (base 11) to base 9 -205 What is -10231 (base 4) in base 14? -177 What is 13 (base 13) in base 5? 31 Convert 41 (base 16) to base 13. 50 -6 (base 9) to base 3 -20 What is 60 (base 12) in base 13? 57 Convert 2b (base 15) to base 3. 1112 Convert -6 (base 14) to base 8. -6 What is 35 (base 14) in base 12? 3b Convert 252 (base 6) to base 4. 1220 Convert -1 (base 15) to base 9. -1 1 (base 2) to base 16 1 What is -2 (base 6) in base 14? -2 1 (base 15) to base 14 1 Convert b5 (base 15) to base 3. 20022 1 (base 14) to base 15 1 Convert -83 (base 9) to base 5. -300 Convert 2210 (base 3) to base 8. 113 2 (base 3) to base 12 2 -165 (base 9) to base 7 -260 What is -22 (base 8) in base 14? -14 -22 (base 10) to base 8 -26 Convert 56 (base 13) to base 6. 155 Convert -207 (base 9) to base 8. -251 What is -12 (base 5) in base 15? -7 -3 (base 7) to base 6 -3 Convert -113 (base 7) to base 3. -2012 What is 103 (base 6) in base 8? 47 27 (base 16) to base 5 124 -4 (base 10) to base 12 -4 What is -172 (base 9) in base 5? -1041 Convert 167 (base 9) to base 10. 142 -97 (base 12) to base 16 -73 What is 1 (base 5) in base 2? 1 What is -10 (base 9) in base 7? -12 -5 (base 6) to base 10 -5 Convert 73 (base 8) to base 5. 214 What is 24 (base 5) in base 7? 20 -3 (base 12) to base 7 -3 What is 98 (base 12) in base 10? 116 What is -1101 (base 2) in base 9? -14 What is -20 (base 5) in base 6? -14 1 (base 13) to base 16 1 What is -100111000 (base 2) in base 11? -264 Convert 41 (base 11) to base 3. 1200 -116 (base 9) to base 5 -341 Convert 2 (base 9) to base 5. 2 What is -11 (base 2) in base 8? -3 What is 30 (base 4) in base 16? c What is 5 (base 15) in base 3? 12 b (base 16) to base 11 10 1010000 (base 2) to base 3 2222 Convert 272 (base 9) to base 7. 443 Convert 290 (base 10) to base 11. 244 Convert 221 (base 5) to base 6. 141 -6 (base 13) to base 3 -20 What is 1013 (base 5) in base 2? 10000101 Convert 27 (base 12) to base 5. 111 Convert -110011 (base 2) to base 9. -56 -23 (base 11) to base 3 -221 -40 (base 8) to base 7 -44 Convert 3 (base 6) to base 2. 11 Convert 2 (base 6) to base 2. 10 55 (base 8) to base 11 41 What is 101 (base 2) in base 3? 12 Convert -1240 (base 5) to base 6. -523 What is -1002 (base 3) in base 2? -11101 Convert -13 (base 7) to base 8. -12 -5 (base 8) to base 13 -5 -1 (base 5) to base 4 -1 Convert -128 (base 12) to base 15. -bb -14 (base 5) to base 14 -9 What is 2 (base 8) in base 13? 2 Convert 4 (base 14) to base 13. 4 Convert -1e (base 15) to base 3. -1002 Convert 10 (base 15) to base 10. 15 Convert 1 (base 10) to base 2. 1 What is -3 (base 12) in base 6? -3 Convert 101 (base 6) to base 10. 37 Convert -3a (base 16) to base 5. -213 Convert -20 (base 13) to base 4. -122 What is 5 (base 10) in base 2? 101 -38 (base 12) to base 6 -112 What is 391 (base 10) in base 6? 1451 Convert -121 (base 3) to base 14. -12 -2 (base 7) to base 16 -2 Convert -101000 (base 2) to base 4. -220 -110 (base 3) to base 14 -c What is -130 (base 4) in base 16? -1c What is -1 (base 14) in base 4? -1 -23 (base 15) to base 16 -21 72 (base 16) to base 7 222 What is -20111 (base 3) in base 11? -14a -20 (base 15) to base 2 -11110 What is 3 (base 14) in base 6? 3 110 (base 2) to base 12 6 Convert 123 (base 14) to base 4. 3203 Convert 29 (base 10) to base 3. 100
{ "pile_set_name": "DM Mathematics" }
the second derivative of 9*a - a**2 + 0*a**3 + 0*a**5 + 1/3*a**4 - 1/15*a**6 + 0. Factor y(r). -2*(r - 1)**2*(r + 1)**2 Let s(o) be the second derivative of 1/8*o**3 + 1/4*o**4 + 0*o**2 + 9/40*o**5 + 0 + 1/56*o**7 + 1/10*o**6 - 20*o. Suppose s(i) = 0. What is i? -1, 0 Let j(z) be the first derivative of 0*z + 8/5*z**5 - 80/3*z**3 - 21*z**4 - 8*z**2 + 12 + 14/3*z**6. Determine q, given that j(q) = 0. -1, -2/7, 0, 2 Factor -55/2*t**2 + 0 + 5/4*t**3 + 50*t. 5*t*(t - 20)*(t - 2)/4 Let u(r) = 20*r**2 - 3772*r + 176696. Let j(c) = 12*c**2 - 2263*c + 106018. Let s(q) = 12*j(q) - 7*u(q). Factor s(g). 4*(g - 94)**2 Let y(v) = -147*v**4 + 573*v**3 - 273*v**2 - 99*v + 81. Let s(t) = 21*t**4 - 82*t**3 + 39*t**2 + 14*t - 12. Let b(o) = -27*s(o) - 4*y(o). Factor b(x). 3*x*(x - 3)*(x - 1)*(7*x + 2) Let q(n) be the first derivative of -10 + 1/20*n**2 + 0*n - 1/30*n**3. Suppose q(f) = 0. What is f? 0, 1 Let b(c) = -347*c - 9713. Let x be b(-28). Determine f, given that 0*f + 0 - 8/7*f**2 - 2/7*f**5 + 2/7*f**4 + 8/7*f**x = 0. -2, 0, 1, 2 Let q(s) = 10*s - 88. Let o be q(9). Let w(n) be the first derivative of o - 2*n + 2*n**2 - 2/3*n**3. Factor w(u). -2*(u - 1)**2 Let r(h) be the third derivative of 0*h + 0*h**3 + 1/6*h**5 - 1/8*h**6 + 0*h**4 - 2/7*h**7 - 5/48*h**8 + 41*h**2 + 0. Find u such that r(u) = 0. -1, 0, 2/7 Let y(s) be the second derivative of s**7/168 + s**6/10 - 3*s**5/16 - 13*s**4/24 + 103*s - 1. Solve y(a) = 0. -13, -1, 0, 2 Let k(r) be the second derivative of r**7/21 + 10*r**6/63 + 13*r**5/105 - 2*r**4/21 - r**3/9 + 2*r**2/21 + 3*r + 12. Determine a, given that k(a) = 0. -1, 2/7, 1/3 Let 214/9*d + 8/9*d**2 - 280/9 = 0. What is d? -28, 5/4 Let k = -33847 - -2910991/86. Let u = k + -10/43. Solve 1 - u*o + 1/2*o**2 = 0 for o. 1, 2 Let q = -5226799/35460 - 1/7092. Let s = -147 - q. Factor s*g**2 + 0 - 2/5*g. 2*g*(g - 1)/5 Suppose -7 + 0 = 3*x + 4*j, 2*x + 5*j + 14 = 0. Factor -4/3*i**x + 0 - 2/3*i**4 + 4/3*i + 2/3*i**2. -2*i*(i - 1)*(i + 1)*(i + 2)/3 Let o(h) be the third derivative of h**5/15 + 3*h**4/4 - 5*h**3/3 + h**2 - 18*h. Factor o(u). 2*(u + 5)*(2*u - 1) Let x(z) = -z**3 - 27*z**2 - 43*z + 75. Let l(r) = 2*r**3 + 81*r**2 + 128*r - 225. Let w(c) = -2*l(c) - 7*x(c). Determine v so that w(v) = 0. -5, 1 Let u(t) be the first derivative of -t**6/21 + 6*t**5/35 + 9*t**4/14 - 18*t**3/7 + 13. Suppose u(g) = 0. What is g? -3, 0, 3 Suppose -3*x + 29 = x - 5*r, -28 = -3*x + 5*r. Let i be 255/153 + x/3. Suppose 3/7*a**i + 3/7 + 6/7*a = 0. What is a? -1 Suppose 0 = 2*z - 3*t - 12, -5*z - t = -5*t - 23. What is i in 3/5*i + 0 + 6/5*i**4 + 0*i**z - 3/5*i**5 - 6/5*i**2 = 0? -1, 0, 1 Let d(k) be the second derivative of k**4/3 - 220*k**3/3 + 6050*k**2 - 66*k + 2. Factor d(j). 4*(j - 55)**2 Let v(h) be the first derivative of h**5/160 + h**4/32 - 7*h**2 - 6. Let j(o) be the second derivative of v(o). Determine r, given that j(r) = 0. -2, 0 Let y be 30/25*-25*16/(-420). Solve -y*r - 4/7 + 5/7*r**2 = 0 for r. -2/5, 2 Let g(s) be the first derivative of 13 - 25/3*s**3 - 5*s**2 + 0*s - s**5 - 5*s**4. Factor g(f). -5*f*(f + 1)**2*(f + 2) Let m(s) be the first derivative of 0*s + 2*s**2 - 1/15*s**5 + 2/3*s**3 + 2 + 0*s**4. Let y(z) be the second derivative of m(z). Factor y(h). -4*(h - 1)*(h + 1) Factor -15/2*c - 27/4 - 3/4*c**2. -3*(c + 1)*(c + 9)/4 Let g = 11 - 9. Let 5*t + 3 - 5*t**2 + 12 - g - 8 - 5*t**3 = 0. What is t? -1, 1 Factor 14/19*z - 12/19 + 0*z**2 - 2/19*z**3. -2*(z - 2)*(z - 1)*(z + 3)/19 Let d = -19 - -22. Suppose 4 = -d*f + t + 15, 4*t - 11 = f. Factor 5/2*z**3 - z**2 - 2*z**4 + 0*z + 1/2*z**f + 0. z**2*(z - 2)*(z - 1)**2/2 Let q(h) be the third derivative of 25*h**2 + 0 - 1/24*h**5 - 1/6*h**3 + 7/48*h**4 + 0*h. Solve q(w) = 0 for w. 2/5, 1 Suppose -8*p = 124 + 188. Let b be -2 + 21/4 - p/(-13). Factor 1/2*z**2 - b*z**3 - 1/2 + 1/4*z. -(z - 2)*(z - 1)*(z + 1)/4 Let m(j) be the first derivative of -j**7/840 + j**6/180 - 9*j**3 + 4. Let y(l) be the third derivative of m(l). Suppose y(a) = 0. Calculate a. 0, 2 Let b(x) = -2*x**2 + x + 1. Let t(z) = -15*z**4 - 27*z**3 + 62*z**2 + 110*z - 22. Let m(k) = 2*b(k) - t(k). Suppose m(w) = 0. Calculate w. -2, 1/5, 2 Let o = -3193 + 15969/5. Find t such that -12/5*t**2 + 4/5*t**4 + 8/5 + o*t**3 - 4/5*t = 0. -2, -1, 1 Let c be ((-1120)/700 - (-146)/15) + -8. Factor 4/15*t + c*t**2 + 0. 2*t*(t + 2)/15 Suppose 15*k - 7*k - 136 = 0. Let d = k + -65/4. Let 9/4*c**2 + d*c**4 + 9/4*c**3 + 3/4*c + 0 = 0. Calculate c. -1, 0 Let j(g) be the third derivative of -g**6/1080 + 47*g**5/540 - 22*g**4/9 - 32*g**3/3 + 129*g**2. Factor j(c). -(c - 24)**2*(c + 1)/9 Let t(k) be the third derivative of k**8/26880 + 3*k**4/8 + 3*k**2. Let i(w) be the second derivative of t(w). Find u such that i(u) = 0. 0 Let a = -6386 + 25737/4. Let i = -48 + a. What is z in 5/8*z - i + 1/4*z**2 - 5/8*z**3 = 0? -1, 2/5, 1 Suppose 8*w - 8 = 12*w. Let x be 5*(3 + -1)*w/(-4). Factor 0 + 2*g**4 + 4*g**2 + 1/3*g**x + 13/3*g**3 + 4/3*g. g*(g + 1)**2*(g + 2)**2/3 Let n = -541 + 546. Solve -1/7*q**2 + 1/7*q**4 + 0 - 2/7*q + 3/7*q**3 - 1/7*q**n = 0. -1, 0, 1, 2 Let u(i) be the second derivative of i**5/20 + 11*i**4/4 + 85*i**3/2 - 289*i**2/2 - 302*i + 2. Let u(j) = 0. Calculate j. -17, 1 Let b(v) be the third derivative of -v**5/180 + 47*v**4/72 - 385*v**2. Factor b(d). -d*(d - 47)/3 Let i(m) be the second derivative of -m**6/1260 - m**5/315 + m**4/252 + 2*m**3/63 - 6*m**2 - 19*m. Let l(q) be the first derivative of i(q). Factor l(x). -2*(x - 1)*(x + 1)*(x + 2)/21 Let b be (10/(-15))/(16/(-6)). Let a(r) be the first derivative of -5/8*r**2 - 1/2*r + 1/20*r**5 - b*r**3 + 1/16*r**4 + 4. Factor a(s). (s - 2)*(s + 1)**3/4 Factor 30/7*f + 0 - 3/7*f**2. -3*f*(f - 10)/7 Let t be -18 - -17 - (-8057)/11. Let i = 732 - t. What is z in 2/11*z - i + 4/11*z**2 = 0? -3/2, 1 Let q(p) be the second derivative of p**5/40 + 3*p**4/16 + p**3/2 - 21*p**2 + 27*p. Let k(c) be the first derivative of q(c). Solve k(u) = 0. -2, -1 Let s(a) = -a**3 + 8*a**2 - 11*a - 20. Let x be s(5). Let u(p) be the first derivative of -1/2*p**4 + 0*p**3 + 0*p + x*p**2 + 8 - 2/5*p**5. Factor u(r). -2*r**3*(r + 1) Let s(t) be the second derivative of -29/72*t**4 + 0 - 49/3*t**2 - 18*t - 1/120*t**5 - 56/9*t**3. Factor s(r). -(r + 1)*(r + 14)**2/6 Let p = 94/35473 - -31305739/6385140. Let s = p + -67/20. Factor 8/9*t**4 - 26/9*t**3 + 2/9 + 10/3*t**2 - s*t. 2*(t - 1)**3*(4*t - 1)/9 Suppose 561*w - 16 = 557*w. Determine d so that 27/2*d**w + 31*d**2 + 7/4*d**5 + 15/4*d + 69/2*d**3 - 9/2 = 0. -3, -1, 2/7 Suppose f = -4, b + 2*f = 8 - 13. Find t, given that 1/8*t**b - 1/2*t + 0 + 3/8*t**2 = 0. -4, 0, 1 Solve -2/5*d**4 + 2/5*d - 2/5 + 4/5*d**2 - 4/5*d**3 + 2/5*d**5 = 0. -1, 1 Suppose -2*h + 14 = -c + 1, 5*h - 2*c = 31. Let p(n) = n**3 + 4*n**2 - 5*n + 2. Let t be p(-5). Find r such that -r**2 + 4 - h*r**2 - 3 - 2*r + 7*r**t = 0. 1 Let h = 134158/7 + -19165. Find b, given that 1/7*b**4 + 1/7*b**2 - 2/7 - 3/7*b + h*b**3 = 0. -2, -1, 1 Let r = -297 + 301. Let i(w) be the second derivative of 0 - w - 3/4*w**5 - 3/10*w**6 + 0*w**2 + 1/2*w**3 - 1/4*w**r. Factor i(a). -3*a*(a + 1)**2*(3*a - 1) Suppose 91 + 15*h**2 - 117*h**4 + 45*h**3 - 112 + 123*h**4 - 45*h = 0. Calculate h. -7, -1, -1/2, 1 Let k be 2 + -2*(-5)/(-10)*0. Let t(q) be the third derivative of -1/240*q**6 + 0*q**4 + 0*q**3 + 0*q**5 + 0*q + 0 + 3*q**k. Factor t(j). -j**3/2 Let -99/2*m**4 - 45/2*m**2 + 3*m + 27/2*m**5 + 0 + 111/2*m**3 = 0. What is m? 0, 1/3, 1, 2 Suppose 19/8*b + 0 - 1/8*b**2 = 0. What is b? 0, 19 Let v(k) be the third derivative of k**7/105 - k**6/90 - k**5/6 - k**4/3 + 4*k**3 - 13*k**2. Let x(q) be the first derivative of v(q). Factor x(h). 4*(h - 2)*(h + 1)*(2*h + 1) Let c(x) be the first derivative of 3*x**6/5 + 18*x**5/5 + 3*x**4 - 76*x**3/9 + 5*x**2 - 6*x/5 + 1. Suppose c(g) = 0. Calculate g. -3, 1/3 Let a(g) = g**2 + 19*g - 1237. Let q be a(27). Let 0*m - 1/5*m**q + 0*m**3 + 1/5*m**4 + 0 + 0*m**2 = 0. Calculate m. 0, 1 Let l(r) be the second derivative of -r**7/147 - r**6/21 - 3*r**5/70 + 5*r**4/42 + 4*r**3/21 - 439*r. What is w in l(w) = 0? -4, -1, 0, 1 Let j(w) = -w**2 + w. Let a be j(4). Let l be a/(-42) + (-38)/(-14). Factor 2*n**2 - 4*n + 4*n**3 + 3*n - 3*n**l - 3*n**2 + n**4. n*(n - 1)*(n + 1)**2 Let u(q) = -2*q - 21.
{ "pile_set_name": "DM Mathematics" }
+ 2*a**2 + 1) + (1 - 2 + 3)*(-a**2 - 2*a**2 + 6*a**2) + 15*a**2 - 4*a**2 + 19*a**2 to z*a**2 + x + d*a and give z. 34 Express -6150 + 6150 + 1898*l in the form r*l + y and give r. 1898 Rearrange -89*w**2 + 532*w**2 + 48*w**2 to y + t*w + q*w**2 and give q. 491 Rearrange t**2 - 181*t + 181*t - 8*t**2 - 18*t**3 - 4 to the form b*t**2 + a*t + j + r*t**3 and give r. -18 Express 0*r**3 - r**3 + 2*r + 4*r**2 - 7*r**2 - 1 - 18 - 15 in the form n*r**2 + k*r**3 + l*r + y and give l. 2 Rearrange (-4*v + 5*v - 2*v)*(376 + 74*v - 175 - 207) to x*v + q + p*v**2 and give x. 6 Express ((-6 + 3 + 2)*(411 - 411 - 105*u) + 246 - 38*u - 246)*(0 - u + 2 + 0) as n*u**2 + q + h*u and give h. 134 Rearrange -46*y**2 + 4 + 26 + 92*y**2 + y - 40*y**2 to the form z + f*y**2 + l*y and give z. 30 Express -y + 340 - 167 - 134 as u + x*y and give u. 39 Rearrange 9*b - 38 + 43*b - 5*b + 44 to the form r*b + y and give y. 6 Express -2*j**4 + 3*j**4 + 3 + 16*j**2 - 5 + 3*j**3 - 18*j**2 as u*j**4 + g*j + f + h*j**3 + z*j**2 and give z. -2 Rearrange 7355*g - 3769*g - 2815*g to d*g + r and give d. 771 Express -d - 3*d**2 - 2*d - 2*d**2 + 13*d + 6*d as c*d**2 + l + i*d and give c. -5 Express 11420 - 34*r - 71*r - 11421 in the form b*r + g and give b. -105 Rearrange -l + 9*l + 17*l + l**2 - 13*l to r*l**2 + h + i*l and give r. 1 Rearrange (3 - 3 + 2*d)*(3*d - 6*d + 4*d) + (-7*d + 4*d + 2*d)*(9*d + 6*d + 9*d) to g*d**2 + i + l*d and give g. -22 Rearrange 386*w - 766*w + 382*w - 22 - w**3 - w**2 to u*w**3 + f + c*w**2 + i*w and give i. 2 Rearrange -12*s**4 + 26 + 52 - 72 - 2*s**2 to r*s**4 + g*s + l*s**2 + u*s**3 + a and give r. -12 Rearrange 291*a**2 + 12195 - 12195 to p*a + s + m*a**2 and give m. 291 Rearrange -56*h**4 + 283*h**4 - 79*h**4 - 2*h**3 + 2*h - 2*h**2 - 70*h**4 - 56*h**4 to s*h + g*h**4 + r*h**3 + o + n*h**2 and give g. 22 Express 1 - 5*u**2 + u**2 + 11*u**2 + u**2 - 7*u + 0*u**2 in the form h*u**2 + s + n*u and give h. 8 Rearrange (-6*w**3 + 0*w**3 + 2*w**3)*(0 + 0 + 1)*(46 + 119 - 30) to g + n*w + s*w**2 + p*w**3 and give p. -540 Express -2 - 160*f + 669*f**2 + 83*f + 77*f in the form p*f**2 + i*f + q and give q. -2 Express 4 - 210*r - 13 + 9 in the form c*r + t and give c. -210 Rearrange (-4 + 2 + 4)*(-y - 2*y + y)*(-2324*y**3 + 194*y**3 - 1306*y**3) to the form w*y**3 + j*y + t*y**2 + m*y**4 + c and give m. 13744 Express 81*k + 121*k - 94*k + 91*k in the form d*k + j and give d. 199 Express -2*w**3 - 2*w**2 - 3*w - w**3 + 21 + 2*w - 8 in the form m*w + l + q*w**2 + o*w**3 and give q. -2 Rearrange -45*s + 2*s**2 + 45*s - 2*s**2 + 0*s**2 + 4*s**2 + (3*s**2 + 0 + 0)*(-4 + 1 + 2) to o + q*s + u*s**2 and give u. 1 Express -131*m + 236*m + 929*m as o*m + x and give o. 1034 Rearrange -j - 4*j**2 - 126*j**3 - 9*j**2 + 13*j**2 + 5*j to k*j**3 + f*j + y*j**2 + m and give k. -126 Rearrange (1310 + 34*n - 1310)*(3*n + n - 2*n)*(-6*n + 4*n + 6*n) to z*n**3 + b*n + w*n**2 + u and give b. 0 Rearrange 128 + 605*q**3 + 610*q**3 - 1212*q**3 to j*q + g*q**3 + y*q**2 + h and give y. 0 Express 6*n**2 - 3*n**2 - 2*n**2 + 0*n**2 + 5*n**2 - n**2 + (92*n - 50*n + 1 - 47*n)*(-2*n + n - n) as v + i*n + x*n**2 and give i. -2 Rearrange (1 + 17 + 0)*(o + 3*o - 3*o)*(-1128*o + 1128*o - 46*o**3) to the form k*o**4 + l + f*o + a*o**3 + g*o**2 and give f. 0 Express -m**3 + 18*m**2 - 22*m**2 - 11 + 5*m**2 - 4*m + (-2*m**2 + 3*m**2 - 5*m**2)*(2*m - 2*m + 5*m) in the form a*m**2 + o + w*m**3 + i*m and give w. -21 Express ((-2 + 2 + 1)*(3 - 4 + 2) - 1 - 1 + 3)*(v**4 - 226*v**3 + 2 - 1135*v**2 - 533*v**3 + 1134*v**2) as u*v + q + a*v**2 + f*v**4 + k*v**3 and give q. 4 Rearrange -14*t + 160*t - 55*t + 268*t + 76*t to the form s*t + a and give s. 435 Rearrange -234*g - 539*g + 142*g to y + v*g and give v. -631 Express -3*x**3 + 4*x**3 + 0*x**3 - 2*x**3 + 0 + 0 + (-x**3 - x**3 + x**3)*(4 - 2 - 3) - 2*x**3 + 1 + 6*x**3 - 2*x**3 as c + g*x + j*x**2 + y*x**3 and give y. 2 Express (1 + 1 - 22)*(-1 - 1 + 5)*(-4*h + 4*h - h) in the form k + p*h and give p. 60 Rearrange 0 + 0 - 4*d + 4*d - 2*d - 4*d + (0 - 2 + 1)*(-d + 0*d + 0*d) + (-2 + 2 + 6)*(6 - 6 + 5*d) to q + i*d and give i. 25 Express -23*c**4 - 1 - c**3 + 20*c**2 - 18*c**2 - 32*c + 37*c in the form p*c**4 + l*c**3 + f + n*c**2 + d*c and give l. -1 Rearrange 52*t**2 - 97*t**2 + 47*t**2 + 60*t to o + i*t + w*t**2 and give i. 60 Express -136*k + 255*k - 671*k - 376*k in the form j*k + a and give j. -928 Express -5*d - 4*d + 2*d - 41 - 2*d + 21 as u + c*d and give u. -20 Express -98*z - 65*z - 235*z in the form r*z + o and give r. -398 Express -7 + 0*z**3 + 2 - 2*z**3 + 4*z - z + 8 in the form j + v*z**3 + f*z**2 + h*z and give j. 3 Rearrange 88*a**2 + 0 + 74*a - 4 - 87*a**2 + 2 to b*a**2 + u + t*a and give t. 74 Express ((-l + 2*l - 2*l)*(-1 + 3 - 4) + (-21 + 9*l + 21)*(-1 - 1 + 3))*(l - 3*l + 5*l) as y*l**2 + h*l + r and give h. 0 Rearrange (176*q - 176*q + 73*q**2)*(6*q + 0*q - 4*q)*(2*q + 0*q - 4*q) to the form g*q**2 + f*q + k*q**4 + l*q**3 + b and give k. -292 Rearrange 40*q + 199 + 212 - 415 to z*q + a and give a. -4 Express (-5*z**2 + 3*z**2 + 0*z**2)*(0*z + z + z) - 91*z**3 - 5*z**3 - 419 + 424 in the form a*z**2 + s*z**3 + n + g*z and give s. -100 Express (-7*x**2 + x**2 + 4*x**2)*(-x + 5*x + x + (x - 2*x - 3*x)*(-5 + 4 + 2)) in the form p + z*x**3 + l*x + q*x**2 and give z. -2 Express -4*d**2 + 1 + 1 + 11 - 12 - 8*d + 23*d as f*d + b*d**2 + h and give f. 15 Rearrange 14 + 21*l**3 - 30*l**3 - l + 8*l**3 to n*l**3 + a*l + z + y*l**2 and give a. -1 Express 320 - 184 - z - 162 in the form n + w*z and give n. -26 Express -45*f**4 - 77*f + 46*f**4 + 3 - 2*f**2 + 77*f as x*f + v + k*f**2 + w*f**4 + q*f**3 and give w. 1 Express (-5 + 0 + 4)*(-2*g + 0*g + 4*g) + (3*g + 6*g + 3*g)*(-1 - 9 + 0) - g + 3*g + 0*g in the form s + t*g and give t. -120 Rearrange 6*h**3 + 13*h + 15*h + 2*h**2 + 7*h**3 - 30*h to the form l*h + k*h**3 + w*h**2 + p and give k. 13 Express 326*m - 327*m + 0*m**2 - 10*m**3 - 5*m**2 in the form u*m**3 + i*m + j*m**2 + p and give j. -5 Express (3 - 1 - 3)*(-o - 3314*o**2 + 3*o + 3156*o**2) as m + k*o**2 + q*o and give m. 0 Rearrange -90345 + 90345 + 159*o to p*o + y and give p. 159 Express -16*g**2 - 14*g**2 - 28*g**2 + 0*g**2 + 0*g**2 - 5*g**2 - 15*g**2 + (2*g + g - 2*g)*(6*g - 3*g - g) in the form j*g**2 + k + l*g and give j. -76 Express -5*t - t**2 - 35 + 37 + 4*t**2 - t in the form f*t**2 + y*t + l and give l. 2 Express -45*j - 86*j - 4*j + 23*j + 5 in the form f + q*j and give q. -112 Rearrange -3*v + 0*v + 5*v + 392*v - 18*v + v + (-4 + 3 - 1)*(2*v + 2*v - 6*v) to the form u*v + d and give u. 381 Express (-1 + 2 + 1)*(-2*j**2 + j**2 + 3*j**2) - 4*j**2 + 227*j**2 - 1057*j**2 as a*j + k*j**2 + s and give k. -830 Express (1 - y + 0*y - 5*y)*(-75 + 75 - 2*y)*(2 - 3 + 2) as p + w*y + m*y**2 and give w. -2 Rearrange (2 - 2 + u)*(2917 + 89*u**2 - 2917 + (-3*u - 4*u + 6*u)*(3*u + u + u) + u**2 - u**2 + u**2) to r*u**2 + o*u + l + i*u**3 and give i. 85 Rearrange (i**2 + 68*i - 17*i + i**2)*(-i - i + 3*i) to the form n*i**3 + d*i**2 + k*i + g and give d. 51 Rearrange (744*g + 36*g**2 - 744*g)*(2*g**2 - 4 - 2*g + 2*g) to the form q*g**4 + x*g**2 + i*g + m*g**3 + y and give q. 72 Express 36*r**3 + 9*r**2 - 37*r**2 - 3*r**2 + 3 - 40*r**3 - 30*r**2 in the form j*r + d + h*r**3 + z*r**2 and give h. -4 Rearrange 2*o**2 + 2*o**2 - 25 - 3*o**2 + 83 - 37 to the form a*o + q*o**2 + l and give q. 1 Express 6 + 393*a**2 + 75 - 392*a**2 as k + d*a**2 + b*a and give d. 1 Rearrange -2*q**2 - 16*q**2 - 6*q**2 + 4*q**2 - 2*q**3 - q + 1 to the form y*q**3 + p*q + h*q**2 + r and give r. 1 Rearrange (-1 + 10*f + 1)*(-1 + 2 + 0) + (2*f + 7 - 7)*(-3 + 3 - 2) to s + q*f and give q. 6 Express -31*p + 205*p + 8 + 2*p**2 + 223*p - 8 as c*p**2 + x*p + q and give c. 2 Rearrange (490 - 99 + 165 + 184)*(-3*t**2 - 6*t**2 + t**2) to the form b + g*t**2 + o*t and give g. -5920 Express (c + 2*c - 6*c)*(-2*c - 37*c**3 - 28*c**3 + c) in the form j*c**3 + l*c**4 + m*c + t*c**2 + b and give l. 195 Express 4*g**2 + 38 - 20 - 3*g**4 - 19 + 4*g**3 in the form l*g**2 + b*g**4 + h + f*g**3 + w*g and give f. 4 Rearrange (-9*g**2 + 12*g - 6*g**2 + 19*g**2)*(0 + 0*g**2 - g**2 + 1 - 6*g) to l + u*g**2 + y*g + t*g**3 + i*g**4 and give u. -68 Rearrange (x - 2*x + 2*x)*(x**2 + 4 - 4)*(-736
{ "pile_set_name": "DM Mathematics" }
(sqrt(143)*2 + sqrt(143)))/sqrt(11))**2 + (sqrt(832) + sqrt(832)*-3 + sqrt(832) - sqrt(832) - sqrt(39)/(sqrt(24)/sqrt(8)))**2*-5. -18312 Simplify (-3 + ((-1 + sqrt(425))*6 - (sqrt(425) - (-6*(sqrt(425) - 4*sqrt(425)) - sqrt(425)))) + 3)**2 + -3. -1320*sqrt(17) + 205733 Simplify (((0 + 3*sqrt(128))*6)**2 - (-6*(-4 + sqrt(128))*-1)**2) + 1. 2304*sqrt(2) + 36289 Simplify 5*((sqrt(77)/(1*sqrt(22)/sqrt(2))*2 - 1*(-5 + sqrt(7)*-2)*3) + -5). 50 + 40*sqrt(7) Simplify (sqrt(3888)*4 + (-2*sqrt(108))/sqrt(4))/(sqrt(576)*6*-2). -23*sqrt(3)/48 Simplify -5*(4 + 2*sqrt(3) - sqrt(30)/(sqrt(10)*-3))**2 - ((sqrt(210) + (sqrt(210) - 1*sqrt(210)) - sqrt(210))/sqrt(10))/(-2*-2*sqrt(7) + sqrt(7)). -485/3 - 280*sqrt(3)/3 Simplify 2*((5 + (sqrt(1300) - (sqrt(1300) + 2) - sqrt(1300)))**2 - (sqrt(1300) + -3 + 0 + sqrt(1300) - sqrt(1300))**2 - (6*sqrt(1300)*-1 + 4)). -8 + 120*sqrt(13) Simplify -2 + (sqrt(15)/sqrt(3) + -5 + -1 - (2*sqrt(60)*3)/sqrt(12))**2 + -2. 60*sqrt(5) + 157 Simplify -1*(-3 + sqrt(18) + 1)**2 - ((sqrt(4) - sqrt(40)/(sqrt(50)/sqrt(5))) + sqrt(4) + sqrt(4))/(-3*sqrt(18) - sqrt(2)). -22 + 61*sqrt(2)/5 Simplify -3*((3*(sqrt(112) + sqrt(7)) + (sqrt(7) - sqrt(112)*6))**2 + 4 + (0 + sqrt(42)/sqrt(6))**2 + 2). -1383 Simplify 2 + (1*(sqrt(30)/sqrt(6) + sqrt(5)) - (sqrt(5) + (sqrt(60)*1)/sqrt(12)))**2 + ((sqrt(3000) - sqrt(30))/sqrt(6) + -5)**2. -90*sqrt(5) + 432 Simplify (((sqrt(72) - sqrt(72)*1)/sqrt(12) - sqrt(600)*-1)*-4)/(6*sqrt(144)/(-2*sqrt(8) + sqrt(8))). 20*sqrt(3)/9 Simplify -6*2*(-3*((-3 + (sqrt(700) - (sqrt(700) + -5*sqrt(700)*-1)))*5 + 4))**2. -47263068 - 594000*sqrt(7) Simplify (1*(sqrt(121) + sqrt(121) + -5*1*sqrt(121)) + (-6*sqrt(121)*2 - -2*sqrt(121)*-5))/(((sqrt(66) - sqrt(66)*1)*6 - sqrt(66))/(-5*-1*sqrt(6))). 125*sqrt(11) Simplify 3*(sqrt(117) + -1 - (sqrt(13)*1*-4)**2) - (1*sqrt(117)*-4)/sqrt(9)*5. -627 + 29*sqrt(13) Simplify (1 + sqrt(2736) + -3 + sqrt(2736) + (sqrt(2736) + -1)*3 + sqrt(2736) - (5 + (sqrt(2736) - 2*sqrt(2736)) + 2*sqrt(2736)*3))**2. -240*sqrt(19) + 2836 Simplify ((-4*(sqrt(13) + 1))**2 + (0 + sqrt(13))*-2 - (1*sqrt(13)*4*-4)**2) + ((2*sqrt(13)*5 - (sqrt(1872) + -2 + sqrt(1872))) + 2)**2. -540 - 82*sqrt(13) Simplify 6*6*((sqrt(162) + (0 + sqrt(162) + 4)**2 - (2 + sqrt(162) + 3)) + (4*(3 + -5 + sqrt(162)))**2). -18144*sqrt(2) + 101844 Simplify (((sqrt(102)*2 + sqrt(102))*-6)/(sqrt(6) + sqrt(6) + 2*sqrt(96)))**2 - ((sqrt(204)*-2 - sqrt(204))/sqrt(12) - (sqrt(272) + -2 + sqrt(272))**2). -29*sqrt(17) + 28677/25 Simplify ((2*sqrt(95) + sqrt(95) + sqrt(95) - sqrt(95))*-6)/(sqrt(5) - (sqrt(120)/sqrt(3))/sqrt(8) - sqrt(5)) + -3 + 2*(sqrt(76) + 0). -3 + 22*sqrt(19) Simplify -5 + (sqrt(95) + sqrt(95) + (sqrt(95) - -3*-2*sqrt(95)) + -4*sqrt(95)*-1)/((sqrt(3240)*-1 - sqrt(3240))/sqrt(8)). -5 - sqrt(19)/18 Simplify 1*(((sqrt(68) + sqrt(68) + sqrt(68)*1 - sqrt(68))*4)/(sqrt(324)*2 + sqrt(324) + sqrt(324) + sqrt(324)) - (3 + (-4 + sqrt(153))*1)). -127*sqrt(17)/45 + 1 Simplify (-5 + (2 + -1*sqrt(3) - sqrt(3)) + sqrt(27)*1*-4 - (0 + (sqrt(30) + sqrt(750) + 1*sqrt(750) + sqrt(30))/(sqrt(640)*1)))**2. 93*sqrt(3) + 2919/4 Simplify 3*-2*(((sqrt(363) + 3 + sqrt(363)*-4)*-6)**2 + 3). -707634 + 42768*sqrt(3) Simplify (4 + (-5*sqrt(121)*1)/(sqrt(77)/(sqrt(7) + sqrt(28))) + 6*(sqrt(11) + sqrt(66)/sqrt(6) + 1) + 5 + 1)**2. -96*sqrt(11) + 355 Simplify (-3 + 3 + sqrt(405) + 4*3*sqrt(5))**2 - (sqrt(180)*2)/(sqrt(72)/(sqrt(56)/sqrt(7))). -4*sqrt(5) + 2205 Simplify 4*6*(3 + (3*(sqrt(612)*-1 + -4 + sqrt(612)*-2 + 1 + 0))**2). 23328*sqrt(17) + 1191744 Simplify (1*(-3*sqrt(425))**2 + 3 + 2*sqrt(425))*-2 - (4*(3 + sqrt(425)*-4)*-3)**2. -988152 + 17260*sqrt(17) Simplify (sqrt(3888)*-1 + 5 + -1*-2*sqrt(3888) - ((sqrt(144) + sqrt(144) + -3*sqrt(144))/sqrt(3) + sqrt(48) + sqrt(96)/(sqrt(2) + sqrt(18))))**2. 350*sqrt(3) + 3700 Simplify (sqrt(19) + sqrt(19) + 0 + sqrt(76) - (sqrt(228)/(2*sqrt(12)))**2)*-2 + (0 + sqrt(1539) + 1)**2*-1*3. -9221/2 - 62*sqrt(19) Simplify (1 + 2 + ((sqrt(171) - -2*sqrt(171))*3 + (sqrt(171)*2*2 - sqrt(171) - sqrt(171)))/(((sqrt(9) - (sqrt(9) - sqrt(45)/sqrt(405))) + sqrt(9))*-5))**2. -297*sqrt(19)/25 + 208719/2500 Simplify ((2*sqrt(48)*5 - sqrt(48)) + (1*sqrt(240)/sqrt(5) - sqrt(48)))/(sqrt(32)/(-4*sqrt(40)/sqrt(5))). -72*sqrt(3) Simplify (3 + 3 + -2*5*2*sqrt(2299)*5)**2. -13200*sqrt(19) + 22990036 Simplify ((sqrt(144) - (sqrt(144) + sqrt(144)*2))/sqrt(3))**2 - (5 + (sqrt(147) - (1*(sqrt(147) + (sqrt(147) - (sqrt(147) + 1*sqrt(147)))) - sqrt(147))))**2. -421 - 140*sqrt(3) Simplify (6*sqrt(44)/sqrt(4) + 4 + (sqrt(99) - (5*(sqrt(99) - -2*sqrt(99)))**2) - (-1*((sqrt(11) - (sqrt(11) + 1 + sqrt(11)))*-3 + -1))**2*-4)*-5. -285*sqrt(11) + 109295 Simplify 1 + ((sqrt(3) + sqrt(21)/sqrt(7))*-2 - -1*1*sqrt(3)) + (-4*sqrt(225))/(sqrt(30)/(sqrt(10) + sqrt(10)*-1 + sqrt(10))). -23*sqrt(3) + 1 Simplify (sqrt(35)*-2*5 + sqrt(315) + sqrt(315)*-3)/((sqrt(672)/(sqrt(192) - sqrt(12)))/(sqrt(8) + sqrt(64)/(sqrt(16)/sqrt(2)))). -96*sqrt(5) Simplify ((sqrt(360) + (sqrt(360) - (sqrt(360) + -1*sqrt(360))*3) - sqrt(360) - sqrt(360))/sqrt(12)*1)/(sqrt(216)*6 + (sqrt(96)*3 - sqrt(96))). 0 Simplify 5 + 5*(sqrt(24)/((3*sqrt(432) - sqrt(12)) + sqrt(12) + sqrt(12)) + -4)*6. -115 + 30*sqrt(2)/19 Simplify ((((sqrt(2299) - -1*sqrt(2299)*-1 - -4*(1 + sqrt(2299))) + (sqrt(2299) - -2*2*sqrt(2299))*-4)*6 + 5)*-3)**2. -551232*sqrt(19) + 190695825 Simplify (sqrt(468)*-2*6*-3)**2 + ((sqrt(78) - sqrt(78)*2)*-1)/((sqrt(864)*-1 - sqrt(864)) + sqrt(864) - sqrt(864)). -sqrt(13)/24 + 606528 Simplify (-1 + 2 + 6*(-4 + sqrt(468)) + 1 + (3 + (sqrt(468) - (sqrt(468) + 3)) - sqrt(468)))**2*-1. -12184 + 1320*sqrt(13) Simplify 3*((sqrt(110) + sqrt(110) + 5*-1*sqrt(110) + (sqrt(110) - sqrt(110)*-2*5))/(sqrt(110)/(sqrt(33)/sqrt(3)*-4 - sqrt(11))))**2. 52800 Simplify (4 + 5*((sqrt(200)*1 + 0)*5 + 0) + 2)**2. 3000*sqrt(2) + 125036 Simplify (1*((-1 + sqrt(605))*-3 - sqrt(605))*6)**2 + (sqrt(720)/sqrt(9) - sqrt(55)/(sqrt(11)*1))**2*4. -9504*sqrt(5) + 348984 Simplify (-4*2*((sqrt(5) - sqrt(5)*-1) + sqrt(5))*-1*-4)**2 + ((sqrt(720) + 0)*1 + -4)*-1. -12*sqrt(5) + 46084 Simplify (-4 + (sqrt(704)*-2*1 - (sqrt(704) + sqrt(704)*2 + 5)) + sqrt(704) + -2 + sqrt(704) + -2 + -3 + 1)**2*6. 4320*sqrt(11) + 39366 Simplify (-5 + 4 + 3 + 2*(2*sqrt(1216) + 0 + 4))*-6. -192*sqrt(19) - 60 Simplify (((-2*sqrt(126) - sqrt(126))/sqrt(6) - sqrt(21))/(sqrt(7) + sqrt(28)*2) + (sqrt(99)/(sqrt(22)/sqrt(2)))/(sqrt(27)*1 + sqrt(27)))*-6. 19*sqrt(3)/5 Simplify (-5 + ((5 + (sqrt(112) + -2 - sqrt(112)) + 4)*5 + -2)*3)**2. 8836 Simplify 5*(((sqrt(208) + (sqrt(208) + sqrt(208)*-3 - sqrt(208)))*1)**2 + 2 + (4*(sqrt(13) + -1) + -6*sqrt(637))**2). 1520*sqrt(13) + 98110 Simplify -1 + (-1*(4 + (sqrt(1300)*1 + -2 - sqrt(1300) - (sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 2 + 0)))))*1)**2. -80*sqrt(13) + 1315 Simplify 3 + 2*sqrt(637) + -3 - -5*(sqrt(1573) + -1 + 0)**2. -96*sqrt(13) + 7870 Simplify (3*(sqrt(490) - ((sqrt(490) - -2*sqrt(490)*-3) + sqrt(490) - sqrt(490))))/((sqrt(20) - -1*sqrt(2000))/(sqrt(40)/(sqrt(10)*-2))). -63*sqrt(2)/11 Simplify (6*-4*sqrt(228)*-2*4)/(sqrt(108)/(3*sqrt(9)) + sqrt(12) - (sqrt(12) - (sqrt(12) - (sqrt(768)*2 - sqrt(12))))). -576*sqrt(19)/41 Simplify (((sqrt(64)/sqrt(2))/sqrt(2))/(sqrt(16)/(sqrt(4)*2)))/((sqrt(2) - (-2*(sqrt(4)/sqrt(2) - sqrt(2)) - sqrt(2))) + sqrt(8)*-3). -sqrt(2)/2 Simplify -2 + -5*(2*((sqrt(1728)*3*-5 - sqrt(1728)) + sqrt(1728) + sqrt(1728) + 5))**2. -6774262 + 67200*sqrt(3) Simplify 5*(-6*(sqrt(133)*2 - sqrt(133)) + (sqrt(133) - -2*sqrt(133)*1))/((sqrt(1008)*-2 + sqrt(1008))/(sqrt(44)/(sqrt(22)/sqrt(2)))). 5*sqrt(19)/2 Simplify ((2*-2*sqrt(104) - 1*(sqrt(104) - 1*sqrt(104)))*-6)/((sqrt(128)*2*5 - sqrt(128) - sqrt(128))*4) + -2. -2 + 3*sqrt(13)/16 Simplify (-1*sqrt(560) - (sqrt(315) + sqrt(315)*-3 - sqrt(315))/sqrt(9))/((sqrt(70)*2)/sqrt(10)*3). -sqrt(5)/6 Simplify (-2 + (5*(1*sqrt(567) + 5)*2 + -1)**2)*5. 44100*sqrt(7) + 295495 Simplify (sqrt(2916)*-1 + sqrt(396)/sqrt(176))/((sqrt(98) + sqrt(98)*2)*3 - (sqrt(98)*-1 - sqrt(98))*3)*-6. 3*sqrt(2)/2 Simplify 1 + -1*4*(5 + sqrt(180)*-2 + 0). -19 + 48*sqrt(5) Simplify (-3 + (6*sqrt(209)*-1 + -2*sqrt(209)*2)/(sqrt(99)/(sqrt(729)*1 + sqrt(729))) + -1)**2. 1440*sqrt(19) + 615616 Simplify (sqrt(2448)*-1*1 + ((sqrt(2448) + -1 + sqrt(2448))*-4
{ "pile_set_name": "DM Mathematics" }
biggest value in j, g, p? j Let l = 5.7 + -5.2. What is the third smallest value in -2/5, -1/22, l, 9? l Suppose 18 = 3*b - 27. Suppose -2*j + b = j. Let i = -0.026 - -0.526. What is the third smallest value in -0.3, i, j? j Let h be (-58)/(-145) - 0*5/(-15). Suppose 6*d - 20 = d. What is the third biggest value in h, -3/7, -6, d? -3/7 Let q = 604 - 603.6. Which is the third biggest value? (a) q (b) -1/2 (c) 9 b Let m = -311.1 + 311. Which is the smallest value? (a) 1 (b) m (c) -4 (d) -2 c Let l = -6 - -5.97. Let o = -5.97 + l. Suppose 3*x = -2*n + 15, 3*n + 15 = 3*x - n. Which is the second biggest value? (a) -0.3 (b) o (c) x a Let k = 0.19 + 12.81. Let t = 17 - k. Let l = -4.96 - 0.04. What is the third biggest value in l, 0.2, t? l Let x = 39 + -40. Which is the second biggest value? (a) -3 (b) -2 (c) 1 (d) x d Let w = 901 + -899. Which is the fourth smallest value? (a) -0.007 (b) -5 (c) w (d) 1/6 c Let j = -397 - -2780/7. Let r be (9/(-15))/((12/(-15))/1). Which is the fourth smallest value? (a) 4/3 (b) 1 (c) j (d) r a Let u be 24/(-84)*((-7)/(-2))/(-1). Which is the third biggest value? (a) -3 (b) -0.7 (c) 1/8 (d) u b Let r be 2/(2/1) - -1. Let o = 8.85 - -0.15. What is the second biggest value in o, r, -0.4? r Let k = 1088/3 - 362. What is the fourth biggest value in -1/6, 1, 0.5, k? -1/6 Let w be 0 + 0 + 3/(-12). Let o = -5.3 - 24.7. Let s = -30.4 - o. Which is the second smallest value? (a) w (b) 2 (c) s a Suppose -4*s - 12*m + 11*m - 3 = 0, -3*m = -2*s - 5. Which is the fourth smallest value? (a) s (b) 1/3 (c) 29 (d) -2 c Let k = -0.07 + 0.23. Let r = -0.06 + k. Let m = -0.41 - -0.21. Which is the third smallest value? (a) r (b) 5 (c) m b Let y = -281 + 282. What is the smallest value in -3/31, -1/4, y, -0.1? -1/4 Let k = -8.72 + 8.71. Which is the smallest value? (a) -0.25 (b) k (c) -0.3 c Let l be (-2)/(-3)*(-3 - (-27)/8). Which is the third biggest value? (a) -12/5 (b) -5 (c) l b Let k = -925 - -926. Suppose 9*v = 4*v. Which is the biggest value? (a) v (b) 1/4 (c) k (d) -2 c Let f = 6048 + -6047.6. Let l = -13/10 - -137/90. Which is the third biggest value? (a) 1/8 (b) l (c) -0.5 (d) f a Let t = -8644/1771 - -6/253. Which is the smallest value? (a) -1 (b) t (c) -0.5 b Let i = -166 + 232. Let m = i + -76. Which is the third smallest value? (a) m (b) 0.4 (c) 1/2 c Let l = 243 - 554. Let h = 1548/5 + l. Which is the third smallest value? (a) 0.1 (b) -1 (c) h a Let l be (-40)/6*(-174)/(-232). Which is the second biggest value? (a) -2 (b) l (c) 2/11 (d) 3/4 c Let u = 151 - 153. Which is the second smallest value? (a) 0.4 (b) -5 (c) u (d) 0.08 c Let h = -8 + -9. Let l = h - -13. Let s = 26 + -29. What is the second biggest value in s, l, -5? l Suppose 27 = 14*y - 11*y. Let v(i) = -i**2 + 7*i + 17. Let u be v(y). What is the third smallest value in -0.4, u, 6/11? 6/11 Let g be ((-1)/(-6)*4)/(-2). Let q = 0.11 - 0.31. What is the biggest value in 3, g, q? 3 Let o = -873 - -702. Which is the second smallest value? (a) -1/4 (b) o (c) -0.4 c Let z(m) = -m**2 - 8*m + 7. Let w be z(-9). Let y = -5 + 6. Let x = y + w. Which is the biggest value? (a) x (b) -1/6 (c) 0.5 c Let x = -6.08 + -0.92. What is the smallest value in 0.5, x, 6? x Let b = 1 + -0.94. Let x = b - -0.54. Let k = -0.2394 + -0.0606. What is the smallest value in x, k, 1/3? k Let g be (-70)/(-21)*(-3)/2. Let t(i) = -2*i - 11. Let d be t(g). What is the smallest value in 2/7, -6, d? -6 Let u = -25.1 + 24.9. Which is the fourth smallest value? (a) 1 (b) 0 (c) -1 (d) u a Let v = -3 + 2.7. Let j = -1675/3 - -559. What is the fourth smallest value in j, -1, 0.4, v? j Suppose -2*u = 3*u - 30. Let z be 10/(-4) - u/(-4). Let d = -54 + 56. Which is the second biggest value? (a) z (b) d (c) 4/3 c Let j = -0.11 - -16.11. Let r = j - 12.6. Let s = r + -3. What is the biggest value in 0.5, s, 0? 0.5 Let l = -622 - -661.3. Let q = l + -38. What is the smallest value in -4, -0.3, q? -4 Let f = 8.22 - 8.42. Let v be (0 - -2)*(-2)/3. What is the third biggest value in f, v, 10? v Suppose -6*m - 190 = -m. Let i = m - -72. Let s = i - 205/6. Which is the second biggest value? (a) 2 (b) -0.4 (c) s c Let q = 16.58 + 9.42. What is the third biggest value in -4, q, -7? -7 Let p = -23.9 - -24. Let s = -5.3 + 2.3. Which is the third smallest value? (a) -1/5 (b) s (c) p (d) 5 c Let g = -19 + 18. Let f = -0.5 - -0.5. Let u = -0.1 - f. What is the third smallest value in g, 0, u? 0 Let j = 3.9444 - -0.0556. Which is the smallest value? (a) 0.4 (b) j (c) -1/9 (d) -0.05 c Let k = -1/7 - -23/63. Which is the third biggest value? (a) 17 (b) k (c) 4 b Let h(y) = 4*y - 3. Let w be h(2). Suppose w*l + 7 = 12. What is the third smallest value in -5, 0, l? l Suppose 2*x - 9 = -2*y - x, 4*y - 7 = 5*x. Which is the biggest value? (a) -4 (b) -0.14 (c) y c Let j = 37.02 - 37. Which is the biggest value? (a) -2 (b) 1 (c) j b Let b = -3 - -15. Let v = b + -8. Let h be 2 + (-3)/(-6) + -1. What is the third smallest value in h, -5, v? v Let k be 2/((-10)/(-15)) - 8. Which is the smallest value? (a) -8 (b) k (c) -2/17 a Let j = -2.5 - -3.4. Let x = -5.9 + j. Which is the fourth smallest value? (a) -1/7 (b) 1 (c) x (d) -0.2 b Let s = 2/161 - -19/322. Which is the biggest value? (a) 0.1 (b) s (c) -3 a Let c = -41.1 + 44.1. Let f = 0.9 - 5.9. Let l = f + 5.3. What is the second smallest value in l, -2/15, c? l Suppose 9*t - 10*t + 14 = -2*q, -7 = q + 3*t. Which is the third biggest value? (a) 13 (b) 5/4 (c) q c Let y = -40.2 + 38.2. Which is the biggest value? (a) -1/7 (b) y (c) -15 a Let l = -3/19 - -78/133. Let f = 11/42 - l. Which is the third smallest value? (a) f (b) 3 (c) 2/9 b Suppose -32*t + 12*t - 80 = 0. Let f = 11 + -16. What is the fourth smallest value in -1, f, -1/6, t? -1/6 Let w = 0.04 - 4.54. Let v = w + -0.46. Let g = v - 0.04. What is the second biggest value in g, -1, -0.2? -1 Suppose 5*v - 4*l = -20, -4*l - 12 = 3*v - 2*l. Let k = 3.84 - -0.16. What is the second biggest value in v, k, -2/9, -1? -2/9 Let a(w) = -5*w + 20. Let u(s) = 6*s - 20. Let o(j) = -4*a(j) - 3*u(j). Let x be o(9). What is the third biggest value in 0.1, 12, x, -1/4? -1/4 Let u = -1899 + 1944. Which is the fourth smallest value? (a) u (b) -2 (c) -0.5 (d) -0.1 a Let g = 171/88 + 11863/88. Let k = 137 - g. What is the third smallest value in -13, 0.2, -3/8, k? 0.2 Suppose -2*z - 22 = 3*g, -3*z + 528*g + 24 = 523*g. Let w = 0.5 + 0. Which is the second biggest value? (a) z (b) w (c) 5 b Let m = -17/7 - -19/7. Let h be (19/(-190))/((-2)/(-15)). Which is the second biggest value? (a) h (b) 2/3 (c) m c Let d = 3.3 - 3.54. Let l = d - -0.14. Which is the third smallest value? (a) -2 (b) 2 (c) l b Let l be (-88)/(-77) - (-1)/(-7). Let p(w) = -6*w - 2. Let m be p(-5). Let j be l + (m/(-18) - -1). Which is the third biggest value? (a) -0.3 (b) 0.4 (c) j a Suppose g + 5 - 4 = 0. Let t = -2 + -1.7. Let n = 0.7 + t. Which is the third biggest value? (a) 5/6 (b) g (c) n c Let c = -352 - -355. What is the biggest value in c, 5, 10.5? 10.5 Let h = -34588/741 - -8/741. Let t = h - -47. Which is the second biggest value? (a) -1/4 (b) t (c) -0.3 a Let d = -0.0715 + -0.1285. Which is the biggest value? (a) d (b) 5 (c) -31 b Let t = 4.99 - -2.01. Which is the biggest value? (a) -5 (b) 0 (c) -2/3 (d) t d Suppose -2*k - 18 + 12 = 0. Suppose 3*j - 27 = -7*b + 5*b, -3*j = -b. What is the third smallest value in -1/2, b, k, -1/7? -1/7 Let d = -115 - -115.008. Let y = d - -0.112. What is the biggest value in y, -0.2, -1? y Let z be (-248)/(-32) + 1/4. Let x be 12/(-4)*z/396*3. Let j = -45 + 87/2. Which is the third smallest value? (a) -3 (b) j (c) x c Let b = -42 - -34. What is the smallest value in 1/2, b, 5? b Let h be (24 - 19)*-3*(-4)/90. What is the smallest value in 0.1, h, -15, -0.3? -15 Let d = 3.43 + -3.76. What is the second biggest value in 3, 1/7, d, -2/11? 1/7 Let d be (5533/44)/(10/(-8)). Let a = -101 - d. What is the biggest value in a, 3, -2? 3 Let z = 349 - 340. Which is the smallest value? (a) 3 (b) z (c) -1 c Suppose 0 = 3*h + 24 - 27. Let f be 4 - ((-2)/(-2))/((-1)/h). Let o = -0.08 - -4.
{ "pile_set_name": "DM Mathematics" }
se 14*z + 21 = 26 + 37. Let t(g) be the first derivative of -25/3*g**z - 20*g**2 - 20*g - 5/4*g**4 + 14. Suppose t(b) = 0. What is b? -2, -1 Let j = 5043 - 5039. Let a(u) be the third derivative of 0*u + 5/24*u**j + 0 + 12*u**2 + 1/42*u**7 - 1/24*u**6 + 0*u**3 - 1/12*u**5. Factor a(h). 5*h*(h - 1)**2*(h + 1) Suppose 48*g + 5 = -15*g + 257. Let d(u) be the first derivative of 1/18*u**2 - 28 + 2/27*u**3 - 1/36*u**g - 2/9*u. Determine c, given that d(c) = 0. -1, 1, 2 Let y(j) be the first derivative of 9*j**4/10 - 8*j**3/3 - 71*j**2/5 + 60*j - 9817. Factor y(w). 2*(w - 3)*(w - 2)*(9*w + 25)/5 Let t be ((-4)/14)/1 + (-130184)/(-336). Let c = -387 + t. Factor -c*k + 1/3*k**2 + 1/6*k**3 - 1/3. (k - 1)*(k + 1)*(k + 2)/6 Let u(h) = 8*h**3 + 2160*h**2 + 777600*h + 93311985. Let w(t) = 6*t**3 + 2160*t**2 + 777600*t + 93311990. Let y(n) = -2*u(n) + 3*w(n). Factor y(l). 2*(l + 360)**3 Factor -15/4*s**3 + 0 - 1/2*s - 3/4*s**5 - 11/4*s**4 - 9/4*s**2. -s*(s + 1)**3*(3*s + 2)/4 Suppose 70*i + 12232 = 12442. Solve -4/7*a**2 - 6/7 + 11/7*a - 1/7*a**i = 0 for a. -6, 1 Let d be 1332/37 + -42 - (1 + 1 + -8). Solve 1/5*v**4 - 3/5*v**3 + 2/5*v**5 + 1/5*v - 1/5*v**2 + d = 0. -1, 0, 1/2, 1 Let f(s) be the third derivative of -s**8/84 - 796*s**7/105 - 79*s**6/6 + 794*s**5/15 - s**2 - 1990*s. Solve f(h) = 0. -397, -2, 0, 1 Let v(y) be the first derivative of 32/5*y**2 - 4/15*y**3 - 256/5*y - 65. Factor v(t). -4*(t - 8)**2/5 Let f = -26392 - -52829/2. Let x(b) be the first derivative of 0*b - 5/3*b**3 + f*b**2 + 21. Let x(m) = 0. What is m? 0, 9 Let d be 8*(-3 - 585/(-120)*2/3). Let o(n) be the second derivative of 1/75*n**6 + 0*n**d + 0*n**3 + 14*n + 3/50*n**5 + 1/15*n**4 + 0. Factor o(c). 2*c**2*(c + 1)*(c + 2)/5 Let p = 75803/45483 + 2/45483. Let h(m) be the first derivative of 0*m**2 + p*m**3 - 15 + 0*m - 1/4*m**4. Factor h(k). -k**2*(k - 5) Let a(o) = -4*o**3 + 2569*o**2 + 10306*o + 10277. Let v(i) = 2*i**3 - 1284*i**2 - 5152*i - 5140. Let m(j) = 4*a(j) + 9*v(j). Factor m(g). 2*(g - 644)*(g + 2)**2 Let p(v) be the first derivative of v**4 + 16*v**3/3 - 62*v**2 - 280*v + 10485. Solve p(s) = 0. -7, -2, 5 Let g(x) = 22*x**2 + 238*x + 12. Suppose 5*z = -11 + 71. Let p(s) = -9*s**2 - 95*s - 5. Let j(m) = z*p(m) + 5*g(m). Factor j(b). 2*b*(b + 25) Let f(m) be the second derivative of m**6/165 - 9*m**5/110 - m**4/3 + 71*m + 8. Factor f(z). 2*z**2*(z - 11)*(z + 2)/11 Let n = -184 + 256. Suppose -5 = h, -j - 53 + n = -3*h. Find l, given that -l**2 + 0*l**3 + 1/2 + 0*l + 1/2*l**j = 0. -1, 1 Let w(o) be the third derivative of 1/15*o**5 + 1/100*o**6 - 35*o**2 - 1/525*o**7 + 0*o - 2 + 0*o**3 + 0*o**4. Factor w(a). -2*a**2*(a - 5)*(a + 2)/5 Let v be (-1 - (-7)/2)*(-452)/(-565). Factor 9*d**3 - 3*d**4 + 132209*d**2 - 132209*d**v. -3*d**3*(d - 3) Let n(g) be the first derivative of -g**3/27 - 25*g**2/3 - 149*g/9 - 8832. Solve n(s) = 0 for s. -149, -1 Let r(y) be the third derivative of y**6/30 + 68*y**5/15 + 377*y**4/6 + 620*y**3/3 - 2387*y**2. Suppose r(z) = 0. What is z? -62, -5, -1 Let g(n) be the third derivative of n**6/40 + 47*n**5/100 - 19*n**4/20 - 8*n**3 + 66*n**2 + 3*n. Factor g(b). 3*(b + 1)*(b + 10)*(5*b - 8)/5 Let t be 5 - (2/(-50) + (-2394)/(-475)). Determine o so that -1/7*o**2 + 15/7*o + t = 0. 0, 15 Suppose 25*q - 29*q = o - 23, -2*q = -o - 19. Determine i, given that -80 + 17*i + q*i + 248*i**2 + 21*i + 40*i - 253*i**2 = 0. 1, 16 Let z(h) be the first derivative of h**6/36 - 22*h**5/15 - 23*h**4/6 - h**3/9 + 91*h**2/12 + 23*h/3 + 3037. Factor z(j). (j - 46)*(j - 1)*(j + 1)**3/6 Let s(o) be the second derivative of -o**5/50 + 7*o**4/2 - 308*o**3/15 + 204*o**2/5 - 424*o. Suppose s(y) = 0. Calculate y. 1, 2, 102 Let u(p) be the second derivative of p**5/4 + 43*p**4/3 - 35*p**3/2 - p + 337. Factor u(q). q*(q + 35)*(5*q - 3) Suppose -2*x + 6*x - 34 = 2*u, -4*x + 42 = -10*u. Let w(d) be the first derivative of 2/3*d**6 + 0*d**2 - 3 - 16/3*d**3 + 0*d + x*d**4 - 4*d**5. Factor w(c). 4*c**2*(c - 2)**2*(c - 1) What is l in -2*l**3 - 59*l**2 + 61*l**2 + 52*l + 2*l**3 + 32*l - 2*l**3 = 0? -6, 0, 7 Let s be (-2)/4 + 146/4. Solve 101*x**2 + 4*x + 4*x**2 - 32 - 19*x**2 + 4*x + 10*x**3 + s*x = 0 for x. -8, -1, 2/5 Let u = 14 + -5. Let h be u/(-63) - (-44)/14. Let -h*i**2 + 4*i**5 - 33*i**2 + 38*i**4 + 2*i**3 + 10*i**3 - 18*i**4 = 0. Calculate i. -3, 0, 1 Let v(b) be the third derivative of 2/21*b**4 - 1/14*b**5 + 0 + 2*b**2 + 1/70*b**6 - 8*b + 0*b**3 + 1/735*b**7. Factor v(x). 2*x*(x - 1)**2*(x + 8)/7 What is v in -4*v**2 + 27*v + 5*v**2 + 24*v - 116*v - 4*v - 702 = 0? -9, 78 Let y = 860 + -269. Let n = -591 + y. Factor -24/5*u**4 + 0*u - 4/5*u**2 + n - 18/5*u**3 - 2*u**5. -2*u**2*(u + 1)**2*(5*u + 2)/5 Let g(b) be the first derivative of -b**5/10 - 3*b**4/2 - 6*b**3 - 8*b**2 - 1339. Suppose g(w) = 0. What is w? -8, -2, 0 Let g = -477 + 3345/7. Let t(j) = -j**3 - 36*j**2 - 69*j + 1. Let q be t(-2). Factor 20/7*k**2 + 3/7*k**q + 11/7*k - g. (k + 1)*(k + 6)*(3*k - 1)/7 Let l(i) be the second derivative of -i**5/40 + 31*i**4/24 - 155*i**3/12 + 125*i**2/4 + 392*i - 2. Factor l(j). -(j - 25)*(j - 5)*(j - 1)/2 Let g be 855/(-228) + 1/(-4). Let s(f) = f**3 + 4*f**2 - 10*f - 37. Let c be s(g). Factor -2 + 1/2*w**3 - c*w**2 + 9/2*w. (w - 4)*(w - 1)**2/2 Let s be (-12)/15*(2675/(-10))/(-1). Let t = -214 - s. Suppose -4/5*l**2 + t - 4/5*l - 1/5*l**3 = 0. Calculate l. -2, 0 Let r = -5459 + 2635. Let t = r + 8576/3. Suppose 0 - 4*x**4 - 196/9*x**2 + t*x**3 + 32/9*x = 0. Calculate x. 0, 1/3, 8 Let k(r) be the third derivative of r**5/60 - r**4/12 + r**3/6 + 130*r**2. Let n(t) = -t**3 - 3*t**2 + 9*t - 5. Let a(z) = 3*k(z) + 3*n(z). Factor a(h). -3*(h - 1)**2*(h + 4) Let g be (12/(-33))/((-21)/231). Let d(q) be the second derivative of 0 + 1/4*q**3 + 26*q - 1/24*q**g + 0*q**2. Find s, given that d(s) = 0. 0, 3 Let a = 579351/29710 + -3/14855. Factor -3/2*r**2 + 0 + a*r. -3*r*(r - 13)/2 Suppose -4*a + 4*w - 56 = -60, 26*a - 4 = 4*w. Determine v, given that a - 1/2*v**4 - 1/2*v**2 - v**3 + 0*v = 0. -1, 0 Let y = 1212 - 1639. Let u be -428 - y - ((-38)/8)/1. Let 5/4*g**3 - 1 + u*g**2 + 3/4*g**5 - 2*g - 11/4*g**4 = 0. Calculate g. -1, -1/3, 1, 2 Let q be (11*(-2)/4)/((-6)/(264/11)). Let o(z) be the second derivative of 1/6*z**3 + 0 + 4/9*z**2 + q*z + 1/108*z**4. Factor o(m). (m + 1)*(m + 8)/9 Suppose -96 = -3*y - 90. Suppose -12*g = -38*g + 78. Factor -5*o**y + 0 + 5/3*o**4 - 10/3*o**g + 0*o. 5*o**2*(o - 3)*(o + 1)/3 Factor -4*u**3 + 537*u**2 - 1440*u**4 - 4*u**3 - 1418*u**4 + 2*u**3 - 6804 + 2376*u + 2855*u**4. -3*(u - 14)*(u - 2)*(u + 9)**2 Let h(j) be the first derivative of -j**5/10 + 71*j**4/2 - 5041*j**3 + 357911*j**2 - 25411681*j/2 + 5900. Factor h(t). -(t - 71)**4/2 Let k(y) = -y**4 + y**3 + y**2 + 3. Let v(z) = 2*z**5 + 506*z**4 - 18*z**3 - 4034*z**2 + 32*z + 8058. Let g(c) = -2*k(c) - v(c). Let g(l) = 0. Calculate l. -252, -2, 2 Let a(j) be the second derivative of -j**4/60 + 734*j**3/15 - 269378*j**2/5 + j - 2125. Factor a(h). -(h - 734)**2/5 Suppose -49*n + 146*n - 48*n = 50*n. Factor n + 3*t + 29/6*t**2 - 5/6*t**4 - 7*t**3. -t*(t - 1)*(t + 9)*(5*t + 2)/6 Let j(q) = 3*q**2 + 306*q - 4809. Let s(g) = g**2 + 307*g - 4808. Let m = 403 + -399. Let v(o) = m*s(o) - 3*j(o). Solve v(f) = 0 for f. 31 Let d(i) = -6*i**3 - 354*i**2 - i + 368. Let j(r) = r**3 + 2*r**2 - 4. Let b(u) = -4*d(u) - 28*j(u). What is t in b(t) = 0? -1, 1, 340 Let n(i) be the first derivative of -i**5/40 - 3*i**4/16 - i**3/2 - 2*i**2 + 13*i - 117. Let u(m) be the second derivative of n(m). Factor u(o). -3*(o + 1)*(o + 2)/2 Let o(r) be the third derivative of r**7/840 - 7*r**6/60 + 329*r**4/24 + 82*r**2. Let c(k) be the second derivative of o(k). What is p in c(p) = 0? 0, 28 Let p(q) be the first derivative of -q**6/60 + 9*q**5/50 + 23*q**4/40 - 3*q**3/10 - 11*q**2/10 - 6287. Determine i, given that p(i) = 0. -2, -1, 0, 1, 11 Let h(u) = -39*u + 225. Let x be h(5). Let b be 133/196 + x/(-70). Factor -b - 1/4*o**2 + 1/2*o. -(o - 1)**2/4 Let d = 3430 - 3424. Let a(b) be the first derivative of 16/5*b**5 - 8*b**2 - 16/3*b**3 + 2/3*b**d + 9 + 3*b**4 + 0*b. Factor a(q). 4*q*(q - 1)*(q + 1)*(q + 2)**2 Let c(z) be the second derivative of -z**4/48 - z**3/8 + 9*z**2/4 + z - 184. Factor c(d). -(d - 3)*(d + 6)/4 Suppose -12*q = 1
{ "pile_set_name": "DM Mathematics" }
). -1129*x**2 + 2*x Let d(a) = 91*a**3 + 17*a**2 - 4*a - 10. Let q(o) = -81*o**3 - 16*o**2 + 3*o + 8. Give -3*d(t) - 4*q(t). 51*t**3 + 13*t**2 - 2 Let g(q) = -q - 5. Let x(w) = -59*w**2 - 12*w - 31. Give -6*g(d) + x(d). -59*d**2 - 6*d - 1 Let i(z) be the second derivative of z**2 - z. Suppose 6*t - 148 - 68 = 0. Suppose 86*f = 90*f + t. Let c(k) = -k**2 + k + 9. Determine f*i(p) + 2*c(p). -2*p**2 + 2*p Let x(b) = -19*b**2 - b - 16. Let m(d) = 13*d**2 + d + 16. Calculate -4*m(p) - 3*x(p). 5*p**2 - p - 16 Let c(x) = 8*x**3 - 13*x**2 + 4*x. Let z(d) = -9*d**3 + 8*d**2 + 4*d. Let b(h) = -9*h**3 + 6*h**2 + 7*h. Let v(m) = 3*b(m) - 4*z(m). Give -5*c(l) + 4*v(l). -4*l**3 + 9*l**2 Let k(i) = 4*i**2 - 4*i + 159. Let y(c) = -13*c**2 + 15*c - 476. Calculate -7*k(q) - 2*y(q). -2*q**2 - 2*q - 161 Let h(u) = -389*u**3 + 7*u**2 - 11*u + 12. Let b(o) = o**3 - 2*o**2 + 2*o - 2. Give 6*b(t) + h(t). -383*t**3 - 5*t**2 + t Let x(d) = 1. Let p(c) be the third derivative of -c**5/15 + c**4/12 - 5*c**3/3 - 389*c**2. Determine p(h) + 10*x(h). -4*h**2 + 2*h Let x(g) = -69*g**2 - 6*g + 4. Let p(o) = -88*o**2 - 7*o + 5. What is 3*p(m) - 4*x(m)? 12*m**2 + 3*m - 1 Let d(z) = z**3 + 5. Let n(a) = -5*a**3 - 24. Let q = 3765 + -3743. Determine q*d(f) + 4*n(f). 2*f**3 + 14 Let u(r) = 3. Let z(n) = -8*n + 4. Let j = 613 - 617. Let s(t) = -11*t + 6. Let a(m) = j*z(m) + 3*s(m). What is 3*a(i) - 2*u(i)? -3*i Let y(i) = -i**2 + 254*i - 758. Let z be y(3). Let s(t) = 6*t**2 - 25*t. Let r(d) = -4*d**2 + 17*d. Calculate z*s(b) - 8*r(b). 2*b**2 - 11*b Let i(c) = -267*c - 55. Let p(o) = 92*o + 18. What is 6*i(u) + 17*p(u)? -38*u - 24 Let m(x) = -139*x**3 + x**2 + 18*x - 6. Let w(q) = q**3 - q**2 - 6*q + 2. Give -m(y) - 3*w(y). 136*y**3 + 2*y**2 Let h(q) = -49*q**2 - 361*q + 22. Let s(c) = 10*c**2 + 73*c - 4. Give 3*h(m) + 16*s(m). 13*m**2 + 85*m + 2 Let l(h) = -4928739*h**2 + 337248*h - 7026. Let b(q) = 3508*q**2 - 240*q + 5. What is -7026*b(n) - 5*l(n)? -3513*n**2 Let r(f) = 4095*f**2 + 64*f + 32. Let n(v) = 573301*v**2 + 8952*v + 4476. Determine 8*n(w) - 1119*r(w). 4103*w**2 Let r be 5*(-1)/3*27/(-45). Let o(z) = 4*z - 1. Let h(s) = -s - 1. Determine r*o(u) + 2*h(u). 2*u - 3 Let r(l) = -l**3 + 10*l**2 - l + 13. Let o be r(10). Let n(y) = -y + 153 - 449 + 147 - 4*y**2 + 149. Let t(h) = 0*h + h**2 - 2*h + 2*h. Determine o*t(b) + n(b). -b**2 - b Let l(z) be the third derivative of -z**4/12 + z**2. Let n(p) = 2 - 10 + 1 + 0 + 6. Determine l(a) + 2*n(a). -2*a - 2 Let d(a) = 59*a**2 + 7*a + 28. Let w(z) = 65*z**2 + 8*z + 29. What is -6*d(u) + 5*w(u)? -29*u**2 - 2*u - 23 Let n be (-9)/(-12)*(-32)/(-12). Let q(b) = 3*b - 6*b + 3*b**n - 2*b**2. Let k(z) = -6*z + 8*z - 6*z + 5*z. Give 5*k(r) + q(r). r**2 + 2*r Let n = -4283 - -4286. Let o(u) = u + 1. Let s(w) = w**2 - 2*w - 8. Determine n*o(d) + s(d). d**2 + d - 5 Let t(y) = -15*y + 5. Let s be t(0). Let c(a) = -9*a + 10*a + 0*a + 3 - s*a. Let h(u) = -u. Determine 2*c(o) - 10*h(o). 2*o + 6 Let t(n) = -5*n. Let q(p) be the first derivative of -p**4/4 - p**2/2 + 623. Let f be (-2)/(192/(-30) - -6). What is f*q(v) - t(v)? -5*v**3 Let h(u) = u**2 + u + 1. Let d(n) = -4*n**2 + 23*n - 3. Give -d(o) - 6*h(o). -2*o**2 - 29*o - 3 Let l(t) = -51 - 72*t - 51 - 49 + 158. Let i(d) = 24*d - 2. Determine 7*i(c) + 2*l(c). 24*c Suppose 0 = 3*w - 8 - 10. Let i(o) = -16*o**3 + 13*o**2 + 13. Let k(c) = 4*c**3 - 5818 + 7*c**2 + 5815 - 10*c**2. Calculate w*i(y) + 26*k(y). 8*y**3 Let d(y) = 28*y. Let j(m) = 85*m. Let s(p) = -10*p**3 - 213*p**2 - 257*p + 43. Let h be s(-20). Determine h*d(w) + 6*j(w). 34*w Let x(v) = v - 2. Let o(y) = -6203*y - 10 - 6185*y + 12393*y. What is -2*o(u) + 11*x(u)? u - 2 Let i(q) = -9*q + 21. Let t(p) = -13*p + 32. Let l = 19710 + -19715. Give l*t(k) + 7*i(k). 2*k - 13 Let z(c) = -2*c - 2. Let g(b) = -2*b - 3. Let p(k) = -6*k - 8. Let i(f) = -5*g(f) + 2*p(f). Let d = -11 + 14. Give d*i(r) - 2*z(r). -2*r + 1 Let j(h) = 7*h - 13. Let r be (-16)/(-6)*(-6)/(-4). Let a be -12*(-3)/r - 4. Let g(q) = 8 - 10*q + 8 + 3. What is a*g(d) + 7*j(d)? -d + 4 Let v(m) = 4*m**3 + 16*m**2 + m + 5. Let g(k) = 6*k**3 + 15*k**2 - k + 6. Calculate -3*g(j) + 4*v(j). -2*j**3 + 19*j**2 + 7*j + 2 Let t(r) = 4*r - 3. Let u(i) be the second derivative of -i**2 + i + 0 + 1/2*i**3. Let y be 639/(-129) - (-38)/(-817). Give y*t(q) + 6*u(q). -2*q + 3 Let i(m) = -1115*m**2 + 3*m. Let q(l) = 4459*l**2 - 13*l. Give 26*i(f) + 6*q(f). -2236*f**2 Let j(v) = 10*v**2 - 14*v + 12. Let m(q) = q**2 - 2*q + 3. Give j(k) - 4*m(k). 6*k**2 - 6*k Let h be (6/6 - -6) + 24/(-6). Let m = 75 - 68. Let d(y) = 2*y**2 + y - 2. Let f(a) = -5*a**2 - 2*a + 4. Calculate h*f(j) + m*d(j). -j**2 + j - 2 Let v(f) = 6*f + 7 - 17 + 18. Let g(p) = p. What is 8*g(w) - v(w)? 2*w - 8 Let x(o) = 1. Let g = 383 + -383. Let z(q) = -6 - 3*q + 5*q + g*q + 4 - 1. Give 2*x(m) + z(m). 2*m - 1 Let a be -65 + 396 - (7 + -1). Let y = 337 - a. Let h(s) = -3*s**3 - 4*s**2 - 4*s - 4. Let m(x) = -x**2 - x - 1. What is y*m(d) - 3*h(d)? 9*d**3 Let o(g) = -g**2 + 11*g + 174. Let w be o(20). Let v(h) = 43*h**2 + 11. Let z(u) = -21*u**2 - 6. Determine w*v(x) - 11*z(x). -27*x**2 Let z(f) = f**2 + f + 1. Let m be 735/(-98)*-2*8/(-20). Let i = -7 - -6. Let c(n) = -5*n**2 - 5*n - 7. Determine i*c(a) + m*z(a). -a**2 - a + 1 Let r(p) = -p**3 + 5*p**2 - p + 1. Let z(s) = -3*s**3 + 20*s**2 - 4249*s + 2. What is -4*r(k) + z(k)? k**3 - 4245*k - 2 Let b(x) = -7*x + 1. Let j(n) = 3*n + 8*n - 3*n + 1 - 10*n + n. Let w be ((-2 + 6)/4)/(-1). What is w*b(q) + 3*j(q)? 4*q + 2 Let c(a) = 5*a**2 - 6*a + 12. Let m(d) = d**2 - d - 1. Let t = -1136 - -1137. Calculate t*c(b) - 6*m(b). -b**2 + 18 Let t(b) = 193*b**2 + 2*b + 14. Let a(c) = -5982*c**2 - 63*c - 441. Determine 2*a(f) + 63*t(f). 195*f**2 Let v = -400 - -409. Suppose j - 4*p + 0 = -7, 0 = -3*p + v. Let w(n) = n**2 + 5*n + 5. Let u(k) = -2*k**2 - 8*k - 8. Give j*u(f) + 8*w(f). -2*f**2 Suppose -45*m = 119*m - 820. Let r(w) = -4*w**3 + w**2 + 3*w. Let f(b) = -b**3 + b. Calculate m*f(h) - r(h). -h**3 - h**2 + 2*h Let p be (7 + -1)*44/(-66). Let q(g) = 5*g - 11. Let y(x) = -5*x + 11. Let w(d) = 4*q(d) + 5*y(d). Let r(n) = 2*n - 4. Determine p*w(v) - 11*r(v). -2*v Let j(y) = -31*y - 1. Let f(r) = 8643*r + 86. What is f(n) + 86*j(n)? 5977*n Let t(b) = -13*b**3 + 2*b**2 - 3*b - 21. Let m(q) = 7*q**3 + 2*q + 13. Calculate 11*m(g) + 6*t(g). -g**3 + 12*g**2 + 4*g + 17 Let v(g) = -9*g**2 + 387*g - 1. Let k(y) = 3*y**2 - 193*y. Calculate -5*k(h) - 2*v(h). 3*h**2 + 191*h + 2 Let z(h) = -11*h - 661. Let w(d) = -10*d - 658. Calculate -3*w(q) + 2*z(q). 8*q + 652 Let d(s) = -34*s**2 + 67*s - 13. Let z(f) = -f**2 - 9*f + 1. Let p(r) = d(r) + 8*z(r). Let h(v) = -21*v**2 - 3*v - 3. Calculate -5*h(x) + 3*p(x). -21*x**2 Let k(v) = 2341*v. Let a(s) = 9363*s. What is -4*a(o) + 15*k(o)? -2337*o Let c(u) = -22*u + 231. Let n(i) = -57*i + 692. Determine -8*c(o) + 3*n(o). 5*o + 228 Let m(c) = -110*c**3 + 12*c**2 - 3. Let b(x) = -330*x**3 + 33*x**2 - 9. What is 4*b(q) - 11*m(q)? -110*q**3 - 3 Let p be 5 + (-72)/144*(-12)/(-2). Let z(h) = -538 + 538 + 352*h. Let m(y) = -13*y. Determine p*z(d) + 55*m(d). -11*d Let k = -1681 + 1678. Let c(f) = 8*f**2 - 9*f. Let v(a) = 4*a**2 - 5*a. Give k*c(q) + 5*v(q). -4*q**2 + 2*q Let f = -7062 - -7057. Let m(k) = -k**2 + 13. Let u(a) = -a**2 + 26. Give f*m(x) + 3*u(x). 2*x**2 + 13 Let y(s) = -49*s**2 - 4*s - 510. Let b(x) = -24*x**2 - 1. Give 2*b(d) - y(d). d**2 + 4*d + 508 Let p(s) = 9*s + 5. Suppose -10*n + 44 = 31 + 33. Let y(q) = 5*q + 2. Give n*p(m) + 5*y(m). 7*m Let w(z) = -4*z - 3. Let a = 185 + -184. Let b(m) = 2. Let g(h) = a*w(h) + b(h). Let f(c) = 5*c + 2. What is 2*f(x) + 3*g(x)? -2*x + 1 Let g(w) be the third derivative of w**3 + 0 + 3/8*w**4 - 11*w**2 + 0*w. Let a(j) = j + 1. Determine 5*a(s) - g(s). -4*s - 1 Let d be (-3)/(-3*(-2)/(-6) - 2). Let q(i) = -i**2 + 1. Let c(x) = -7*x - 1. Calculate d*c(a) + q(a). -a**2 - 7*a Let u(o) = -9*o - 5. Let b(n) = 4*n**2 - 20*n + 145. Let f be b(6). Let v(h) = 79 - 9*h + 84 - f. Calculate 6*u(g) - 5*v(g). -9*g Let z(w) = 11*w**3 + 601*w. Let q(p) = -3*p**3 + p + 1. What is 3*q(v) + z(v)? 2*v**3 + 604*v + 3 Let c(z) = -z**3 - 8*z**2 + 30*z + 21. Let i(a) = -a**3 - 14*a**2 + 60*a + 40. What is 7*c(y) - 4*i(y)? -3*y**3 - 30*y - 13
{ "pile_set_name": "DM Mathematics" }
-d + 5*n = -29, j*d = n + 21 + 4 for d. 4 Let s be (-15 + 2)/(1/(-1) + 0). Let y = 18 - s. Solve d + 2*d - 3*v = 21, d = y*v + 23 for d. 3 Let s be 6/9*(-2 + 8). Solve -3*l + 2*n + 2 = 0, s*l + 0*n - 11 = n for l. 4 Let p(i) = i**2 - 5*i - 45. Let z(k) = -k**3 - k**2 + 4*k + 10. Let a be z(0). Let s be p(a). Solve s = 2*v + 3*m, v - 4*m + 30 = -v for v. -5 Let w(o) = -o**2 - 5*o + 11. Let d be w(-6). Solve 2*t - d*g + 7 = -0*t, -3*t - 3*g + 21 = 0 for t. 4 Let p(f) = -f**3 - 12*f**2 + 16*f + 42. Let x be p(-13). Solve -2*g - 5*t = -3 - 8, 0 = x*g + 2*t for g. -2 Let k be 7 - (6 - 6) - 2. Solve k*z + 10 = 0, y + 5*z + 0 = -5 for y. 5 Let f(g) = -16*g**3 + 4*g**3 - 1 + 6*g**2 - 3*g + 13*g**3. Let u be f(-3). Let b = 13 - 2. Solve -5*z - u = -4*n, 2*z = -n + 2*n - b for n. 5 Let l(f) = -2*f**2 + 10*f + 1. Let m be ((-5)/(-20) - (-6)/8) + 4. Let q be l(m). Solve 4*d - q = 4*v + 3, -4*v = d + 14 for d. -2 Let n be ((-4)/(-4) - -4)*8. Suppose -8*t = -3*t - n. Suppose -t = -l - l. Solve -v + 14 = -l*q, 2*v = 3*q + q + 16 for v. 2 Let s = 15 - 15. Let w = 7 + s. Let u = w - -23. Solve -3*d + u = -3*k, -d - 4*d + 4*k + 45 = 0 for d. 5 Suppose 3*b = 3*y - 18, -13*b + 11*b = -y + 8. Solve a = -v + 4, y*a + 0*v = -3*v + 14 for a. 2 Suppose 17 = 4*v + 1. Solve -1 = w + w - i, v*i = 4*w + 12 for w. 2 Suppose 0 = 3*o + 2*v - 108, 3*o + v + 17 = 128. Let d = o + -37. Solve d = s, 2*p - 5 = p - s for p. 4 Let i(q) = q**2 - 30*q + 145. Let b be i(5). Solve 0 = 4*z - 3*g + 19, 4*z = 2*g + 2*g - b for z. -4 Let k = -148 - -181. Suppose -2*i = -11 - 55. Let r = k - i. Solve 4*p = -4*b, 0 = -r*p - p - 5*b - 4 for p. 1 Let o(q) = -2*q - 3. Let i be o(-3). Let x(p) = -2*p**2 - p + 5. Let h be x(-8). Let l = h - -128. Solve i*t = u - l, -3*t = -5*u - 0 + 5 for t. -5 Suppose -2*t + t = 2*u - 2, 5*u - t = 12. Suppose 30 = 4*w - 5*j, -2*w + j - 5*j + u = 0. Let i be (w + 1)*1/2. Solve -i*c = c + 16, d - 5*c = 17 for d. -3 Suppose 8*w - 2*w - 30 = 0. Solve -3*b = -5*p - 31, 2*b + w = -p + 4 for b. 2 Suppose 2*n - 45 = -3*n. Suppose p = -8*p + n. Solve -l - 2 = -4*m - p, 0 = 4*l - 4*m - 8 for l. 3 Let u(p) be the second derivative of p**4/12 + 3*p**2 - 26*p. Let l be u(3). Solve -5*z = -0*h + 4*h - l, -15 = 5*z - 2*h for z. -1 Let h(q) be the first derivative of -q**4/4 - 4*q**3 - 6*q**2 - 8*q - 5. Let p be h(-11). Let t = p - -3. Solve t*x - 2*x + 8 = 0, -b + x = -1 for b. -1 Let x(b) = -b**3 - 2*b**2 - b. Let r be x(0). Suppose 5 = q - r. Solve 3*v + 25 = 5*i, 0 = -q*i + 2*v - 0*v + 20 for i. 2 Suppose -r - 2*r + 2*k = -9, -3*k - 9 = -3*r. Let a(p) = -p**2 - 17*p - 15. Let v be a(-13). Suppose -c - 14 = -v. Solve -2*g - 4*q = r - c, -2*q = -10 for g. 0 Let f be 0/(-5*(-18)/(-45)). Solve 4*a - 24 = v, f*v + 36 = -4*v + 4*a for v. -4 Let q be 3 + 1 - (-3)/(-3). Suppose -3*f = -0*f - q*y - 12, -3*f + 12 = 3*y. Solve 2*h + 1 = -h + f*k, 7 = -h - 2*k for h. -3 Suppose -3*a + 36 = -5*m + 21, -3*m = 2*a + 9. Solve a = -4*b - 3*c - 0 + 5, 0 = 3*b + c for b. -1 Let f be (-33)/66*4*8/2. Let s = 13 + f. Solve -t + 11 = -2*p, -2*p - 5 = -s*t + 10 for t. 1 Let w(y) = -8*y - 7. Let l be w(-7). Let b = l + -49. Let t = 3 - 1. Solve b = -u - 5*c - 9, -t*u - c = -u + 5 for u. -4 Let x be ((-2)/(-4))/((-2)/(-212) - 0). Let p = -47 + x. Solve 5*g - 2*w + p = 0, -2*w + 2 = 3*g - 6*w for g. -2 Let g(t) = -35*t**3 - t**2 - 2*t - 1. Let h be g(-1). Let n be 3/(-4) - (-2 - h/20). Solve n*l - 6 = 0, -2*l = d - 6*d + 21 for d. 5 Let t(n) = 20*n**3 - 1. Let u be t(1). Let l = -11 + u. Suppose 6*g - 8*g = -8. Solve -2*j + 7*j + 4*k + 12 = 0, g*k - l = 0 for j. -4 Suppose -6*n = -2*n - 140. Solve 0 = -5*s - 2*m - 17, -2*s + 5*m + 5 = n for s. -5 Let i = -21 + 23. Suppose o - 14 = -2*o + i*d, 0 = 3*o - d - 13. Solve -4 = -k - 5*q + 9, -5*k + o*q = 22 for k. -2 Let l(r) = -r**2 + 17*r + 2. Let a be l(0). Solve a*j + 3*i - 3 = 0, 3*j + i - 6 = 2 for j. 3 Let w(i) be the first derivative of -i**3/3 - i**2 + 4*i + 7. Let z be w(0). Solve z*m - 3*l = -2, m = 2*m + 2*l + 6 for m. -2 Let b(u) = 2*u**3 - 29*u**2 + 15*u - 12. Let n be b(14). Solve -3*y - 7 = 2*k, -k - n*k - 3 = 3*y for k. 4 Let m(k) = -k**3 + 2*k**2 - 7*k + 12. Let r be m(5). Let i = r + 111. Solve -2*t + a = i, 2*t + 4*a - 1 = 11 for t. -4 Suppose -3*k - 1 = 4*h + 6, -4*k + h + 16 = 0. Solve 0 = k*t + 6, -4*u + 7 = 2*t - 5 for u. 4 Let r(h) = -h - h - 2*h + 2 + 8. Let u be r(2). Solve 4*k = u*c - k - 31, 0 = -2*c + 3*k + 21 for c. 3 Let m(y) = 41*y + 3. Let u be m(0). Solve t - 2*d - 3 = 0, 2 = 3*t - d + u for t. -1 Let g(v) = -38*v**2 - 115*v + 6. Let h be g(-3). Solve b - 14 = 4*z, -3*z = -3*b - 2*z + h for b. 2 Suppose -6*i + 8 = -2*i. Let c be (3/6)/(i/(-4)). Let q be (0*4/(-8))/c. Solve q*s - 3 = -3*s, 4*j + 3*s + 17 = 0 for j. -5 Let y(n) = n**3 - 23*n**2 - 29*n + 122. Let w be y(24). Solve -2*r = -4*i + 2, -w*i + 0*r = 5*r - 31 for i. 3 Suppose m - 2*b = -6, m - 6 = -5*b + 23. Solve 0 = 2*w + m*j - 2 - 18, -2*w + j = 0 for w. 2 Let k = -17 - -19. Suppose k*p + 2 = d, -6*p + 3*p = 0. Solve 0 = -5*s + 2*z - 11, 4*s + 10 = d*z - z for s. -3 Suppose 19*a - 33*a = -126. Solve -2*h - 8 = 0, 5*t - 5*h = 6 + a for t. -1 Let c be 3*(8/6 + -2). Let i be 2 + c + (1 - -3). Solve i*u - 29 = 5*j, 4*j + 5 = 3*u - 18 for j. -5 Let n(s) = -s**3 - 13*s**2 - 44*s - 8. Let d be n(-6). Solve 5*r + d*h + h = -15, 2*h = -4*r - 12 for r. -3 Let q = -7757 - -7759. Suppose -2*r + 29 = 3*v + 2*r, -4*v - 4*r = -36. Solve 4*s = -s - q*j - 16, -2*s - v = j for s. -2 Let j be 2*(-75)/(-35) - (-2)/(-7). Solve 3 = i, -p + 2*i + j = 3*i for p. 1 Suppose 6*d - 34 = -4. Suppose d*w - 8*w = -6. Solve -2*r = r - 5*i + 19, -5*r = -w*i for r. 2 Let g be ((-2)/6)/((-55)/825). Suppose -3*a + 20 = 4*w, -4*a = 2*w - 7 - 13. Solve -g*p - a*j = -p, -j = -p + 6 for p. 3 Let j(l) = -l - 5. Let i be j(-4). Let q = i + 5. Solve -2*n + 28 = 4*m, 6*n = 2*n + q*m - 4 for n. 4 Let c be 108/396 - 90/(-33). Solve 3*j + c = -0*h - h, 2*j - 4*h = -2 for j. -1 Let w = -3 + 5. Suppose -5*l = -0*c + c - 7, -3*c + 4 = -w*l. Suppose 5*v + 29 = 5*b - l, -5*b + 20 = 5*v. Solve -2*k + 2 = -4*g, -5*g = b*k - 8 - 27 for g. 2 Suppose 0 = 26*k - 28*k + 16. Solve -p + 3*s - k = 0, 5*s = -p - 4*p for p. -2 Let m(l) = 12*l - 26. Let x be m(4). Solve -4*q + 3*r = x, -6*r + r + 22 = -3*q for q. -4 Suppose 52 = -3*g + 3*n + 19, 0 = -5*g - 4*n - 10. Let k be (2/g)/(4/156). Let w = -9 - k. Solve -4*l - 5*a + 29 = -l, w*a = -5*l + 31 for l. 3 Let h(v) = v**2 + 8*v + 10. Let g be h(-7). Solve 0 = 5*t + g*u - 2*u + 8, -4*t - 7 = u for t. -1 Let b(o) = 0*o - 2 - 3 - 2*o - 2. Let s be b(-6). Let g(k) = 4*k - 7. Let t be g(3). Solve 0 = -4*j - j - 4*d + t, -3*j - s*d + 16 = 0 for j. -3 Suppose -3*t = 5*y + t - 14, y + 4*t + 10 = 0. Solve 3*u - 4*f + 13 = 0, -u = -3*f + y - 0 for u. -3 Suppose 0*i + 3 = -3*i. Let y be 6 + (-1 - i) - 3. Solve a - 6*a = 3*n + 6, 0 = 3*n + y*a for n. 3 Let w = 120 - 111. Solve 5 = 3*f - 4*f, 0 = -z - f - w for z. -4 Let b = 20 - 28. Let w = 13 + b. Suppose 5*l - 24 = -3*p, -5*l - 32 + 0 = -4*p. Solve w*r + 12 = -j - j, -p = 3*r + j for r. -4 Let g be (-220)/(-105) - 16/168. Solve 7*j = 11*j + 5*h - 8, -5 = -j - g*h for j. -3 Suppose 2*d + 44 = -5*q, 30 = -3*q + 3*d - 6*d. Let z = q - -8. Suppose z = 2*y + 2*h - 8, -5 = -3*y - 2*h + 5. Solve v + 6 = -2*p, y*v = 6*p - 2*p - 4 for v. -4 Suppose 3*m + 5 = m - 5*f, -23 = -4*m + f. Solve 2*a - 13 = 2*w + m, 0 = 3*a - 4*w - 32 for a. 4 Let h(b) = -b**3 - 12*b**2 - 2*b - 9. Let o be h(-12). Solve 0 = 5*w - n + 2*n + 1, -3*n + o = -3*w for w. -1 Suppose 3 = k, k = -p + 3*k + 7. Let a(x) = x + 6. Suppose -2*v = -8, -v = -2*q - 4*v + 8. Let h be a(q). Solve -4*n = 3*z - p, n = -4*z + 3*z + h for n. 1 Suppose -4*u - r + 3 = 2*r, 2*u + 2*r = 0. Solve u*w = -2*g + 6*g - 11, g = 4*w + 6 for w. -1 Let m = 125 - 71. Let h be (-3)/(m/(-40)) + (-4)/18. Solve -2*q + i - 3 = -h*i, -4*i = -q + 1 for q. -3 Suppose -p - 28 = -3*p. Let k(d) be the first derivative of d**3/3 - 13*d**2/2 - 11*d + 37. Let u be k(p). Solve u*r = -3 + 18, -37 = -4*t - 5*r for t. 3 Let s be (2 - 0)*15/6. Suppose -2*f + 47 = -s*k, 7*k - 3*k + 34 = -2*f. Let g = k - -12. Solve -g*m = 3*c + 9, -2*m + c = -c - 6 for m. 0 Let q(w) = 15*w - 1. Let m be q(2). Suppose m = 3*v + 5*o, 0*v
{ "pile_set_name": "DM Mathematics" }
t is the common denominator of 41/10 and p? 10 Let m(x) = -2*x**3 - x**2 - x + 2. Let v be 18/(-6) - 1/1. Let z = v + 2. What is the lowest common multiple of m(z) and 20? 80 Let t(f) = f**2 - 6*f + 8. Let m be t(7). Suppose -5*k = -4*p - 20 - 42, 0 = 5*p + m. Calculate the smallest common multiple of 2 and k. 10 What is the smallest common multiple of 171/15 - 6/(-10) and 28? 84 Let g = 18 + -13. Let r = -3 - 1. Calculate the common denominator of g/12 + (-3 - r) and 83/2. 12 Find the common denominator of 14/18 - (35/(-10))/7 and -7/45. 90 Let l be (-5 - -1) + 2/(-2). Let n = 9 + l. Suppose 3*y = -2*w + 3*w - 17, 37 = 3*w - 2*y. What is the smallest common multiple of n and w? 44 Suppose -2*x + 0*x = 4*g - 18, -42 = -4*x - 2*g. What is the least common multiple of x and 2*1*(-1)/(-2)? 11 Suppose y + 3*y + 3*j = 9, 2*y - 32 = 4*j. Let b be (-1*9 - 1)*-2. Suppose 0 = 6*a - a - b. Calculate the lowest common multiple of y and a. 12 Let i = 16 - 9. What is the lowest common multiple of 2 and i? 14 Let u = -1727/8 - -223. Calculate the common denominator of u and 91/2. 8 Suppose -70 = -0*m + 2*m + 2*p, -3*m - 102 = 2*p. Let o = m - -52. Calculate the smallest common multiple of 4 and o. 20 Suppose 3*q - 7 = 8. Let j(s) = -s**2 + 5*s - 2. Let w be j(q). What is the lowest common multiple of (-8)/((-1 - w)/(-2)) and 6? 48 Let p be (3/(-9))/1*-6. What is the common denominator of -2 + (-1)/(-10)*93 and p/(-20)*10/(-4)? 20 Find the common denominator of 1 - ((-122)/(-8) - 2) and 4/14*((-68705)/(-60))/13. 12 Suppose -54 = 3*t - 2*a, 3*t + 2*a = -27 - 15. Find the common denominator of -115/6 and (-20)/t*(-524)/30. 6 Suppose 5*u = 5*v + 50, -4*u - 6*v + v + 76 = 0. Let t = 8 - 4. What is the smallest common multiple of u and t? 28 Let g(y) = -11*y - y**3 + 5 + 0*y**3 + 5*y - 7*y**2. Let h(l) = l + 3. Calculate the lowest common multiple of h(7) and g(-6). 10 Let i = -1949 - -15623/8. Calculate the common denominator of i and -121/18. 72 Let d(x) = -x**2 + 8*x - 3. Let q(y) = -2*y - 18. What is the smallest common multiple of q(-11) and d(6)? 36 Suppose 0 = -2*i + 3*i - 2776. Let b be ((-6)/16)/((-18)/i). Let w = 155/3 - b. Find the common denominator of 18/11 and w. 66 Suppose -g = -104 - 4. Suppose 0*i = 4*i + g. Let x = -975 - -2876/3. Find the common denominator of x and i. 3 Suppose 0 = 8*z + 5*z - 234. What is the lowest common multiple of 18 and z? 18 Suppose -387 = -6*w + 3*w. Let r = w - 84. Suppose -4*p - 233 = -r. Find the common denominator of p and -49/3. 3 Suppose 2*l = -2*x - 2554, 840 + 1720 = -2*x + 4*l. Let z be (4/6)/(6/x). Calculate the common denominator of (3 - 2)*z/(-16) and 97/20. 40 Let f(s) = -s**3 + 2*s**2 - s. Let t be f(1). Find the common denominator of 15/2 and t + (75/(-4))/3. 4 Let r = -1212/7 - -15265/84. Calculate the common denominator of 13/12 and r. 12 Let b be 24*12/(-8) + 0. What is the common denominator of (2 - 0) + 314/b and -39/16? 144 Let v(y) = -y**2 + 8*y + 1. Let c be v(7). Calculate the smallest common multiple of 7 and c - 1*2/1. 42 Let o = 502623/2723 - 1292/7. Let h = o + -21829/3501. Calculate the common denominator of h and (34/(-22) + 1)*-7. 99 Suppose -f - f - 2*n + 18 = 0, 0 = -3*f + 5*n - 5. Let d(b) = 2*b**2 - 3*b - 3. What is the least common multiple of 4/(-10) + 32/f and d(3)? 6 Let n = 6448/11 - 587. Calculate the common denominator of n and 6/10 + 401/(-10). 22 Let x(o) = 3*o**2 - o - 1. Let c be x(-1). Let a(l) = -2*l**2 - 2 + l - 3*l**2 - c*l**3 + 4*l**3. What is the least common multiple of a(5) and 8? 24 Let x(j) = 5*j - 14. What is the smallest common multiple of x(3) and 8? 8 Let k = 140725/26621 - 2/3803. Find the common denominator of k and -33/5. 35 Let k = 5276189/455 + -11596. Let f = -7233/910 + k. What is the common denominator of 65/2 and f? 14 Let z(m) = 2*m**3 - 2*m**2 - 2. Let a be z(2). What is the common denominator of ((-2)/80)/(a/(-516)) and -55/6? 60 What is the common denominator of (-104)/42*(-9)/16 and (1*(-10)/(-72))/(9/135)? 84 Suppose -2*n - 164 = -0*n. Find the common denominator of (-66)/(-10)*(171/(-42) + 3) and (n/15)/((-16)/(-6)). 140 Suppose 2 = 2*m - 0. Let p = 3 + m. Suppose -2*z + p*z - 28 = 0. What is the least common multiple of z and 14? 14 Suppose -2*f + 16 + 16 = 0. What is the lowest common multiple of 24 and f? 48 Let u = 5 - 51. Let z = u - -68. Calculate the lowest common multiple of z and 8. 88 Let i(x) = -30*x**2. Let s be i(-1). Let v be -2*(0 + s) + 1. Suppose -42 = -5*m + 3*w + v, 2*m - 36 = -4*w. What is the least common multiple of 2 and m? 20 Suppose 0 = -3*w + 2*i - 132, -5*w - 4*i - 220 = i. Let f = -24 - w. Calculate the lowest common multiple of 12 and f. 60 Calculate the common denominator of 41 and (-354)/(-16)*(-4)/6. 4 Let k = 3029 + -21237/7. What is the common denominator of -64/9 and k? 63 Let l be (-9)/(-3) + (-3 - -4). Suppose 2*h - l*h + 48 = 0. What is the common denominator of 55/24 and 0 + -2 + 262/h? 24 Let h = -4 + -32. Let c = -22 - h. What is the lowest common multiple of 22 and c? 154 Let o(m) = m**2 + 22*m + 136. Suppose -15 - 21 = -3*w. Calculate the lowest common multiple of o(-12) and w. 48 Let m = 15867 - 190525/12. Let b be -1*(-2)/(2*1699). Let k = b + 28875/13592. Calculate the common denominator of k and m. 24 Calculate the common denominator of 0/1 + 51/(-2) and ((-218)/84 - -1)*6/4. 28 Suppose -l + 7 + 14 = -5*m, 3*m = 4*l - 50. Let c = l + 4. Calculate the common denominator of (-6)/15 - (-386)/c and -93/4. 12 Let y(w) be the third derivative of 0 + 1/12*w**4 + 0*w + w**3 - 2*w**2. Calculate the least common multiple of y(5) and 10. 80 What is the common denominator of 59/3 and 120/(-27)*((-104)/(-30) + -4)? 27 Let i = 1921/2656 + 113/249. What is the common denominator of -63/8 and i? 96 Let y(t) = 24*t**2 + 3*t - 3. Let k be y(2). What is the common denominator of -48/7 and (-35)/(-30)*k/28? 56 Suppose 13 + 8 = 2*m + 3*r, -4*r = -20. Suppose -m*w + 44 = 11. Suppose 0 = -g + 6*g - 35. What is the least common multiple of w and g? 77 Suppose 44 = -5*o + 3*n, -30 = 2*o + 5*n - 0*n. Find the common denominator of 50/9 and 91/o - 1/(-2). 45 Suppose v - 15 = 4*q - q, 0 = -5*v - 3*q + 39. Let f(x) = -x**2 + 6*x + 10. What is the least common multiple of f(6) and v? 90 Let f(o) = 2*o**2 - o + 1. Let n be f(1). Let m(y) = y - 2. Let w be m(n). Let u(h) = h + 6. Calculate the smallest common multiple of 16 and u(w). 48 Let h be 17 + -1 - 24/(-8). Let g = h + -11. Suppose -3*v + 104 = 2*v + 2*y, -5*v + 125 = -5*y. Calculate the least common multiple of g and v. 88 Suppose -7*l + 560 = -5*l. What is the common denominator of (-581)/l - (-2)/10 and 83/4? 8 Suppose 3*i - 5 - 16 = 0. Suppose -i = -5*d + 2*s, 0*s - 2*s + 8 = 0. Suppose d*p - 104 + 44 = 0. Calculate the lowest common multiple of 12 and p. 60 Let q = -15 + 68. What is the common denominator of ((-15)/140)/(9/330) and (-3)/20*q/3? 140 Let h = -18500/9 - -2060. Let z = -445/2 - -215. Calculate the common denominator of h and z. 18 Suppose -2*x + 24 = x - 3*z, 2*x - 3*z = 16. Let k = -21 - -43. Calculate the smallest common multiple of x and k. 88 Let g = -111/16 - -1559/144. Calculate the common denominator of -187/30 and g. 90 Let k = -80258/553 + 112/79. Let a = 16691/112 + k. Find the common denominator of a and 67/10. 80 Let d be (-48640)/6 - (-4)/6. Let j be (5 - 4) + d/8. Let q = 1005 + j. Calculate the common denominator of -43/12 and q. 12 Let t = 4777/28 + -1077/7. Let w = -816/43451 - 13753570529/955922. Let o = 14391 + w. Calculate the common denominator of o and t. 44 Let l = 1296 - 2653/2. Let m = -53515/6 - -8894. Find the common denominator of l and m. 6 Let c = -27 + 10. Let n = 3 - c. Let u = -12 + n. What is the lowest common multiple of u and 2? 8 Let w = 98157/16 - 6131. Find the common denominator of -45/4 and w. 16 Suppose 0 = -3*y + 4*y + 6. What is the smallest common multiple of 3*(-2)/y*16 and 10? 80 Suppose 13 = 5*b - 32. Calculate the common denominator of 2/b*254/(-8) and (-91)/(-12) + (-2)/(-2). 36 Let i(q) = 2*q**2 - 8*q - 14. Calculate the lowest common multiple of i(-2) and 9. 90 Let v = 77 - 43. Let p = v - 19. Calculate the smallest common multiple of 1 and 54/10 - 6/p. 5 What is the smallest common multiple of 7*1/
{ "pile_set_name": "DM Mathematics" }
7166, -27168, -27170, -27172? -27174 What comes next: 841, 1653, 2431, 3163, 3837, 4441, 4963, 5391? 5713 What is the next term in 70191, 70199, 70207? 70215 What is the next term in 142, 125, 94, 43, -34, -143, -290? -481 What comes next: -38, -74, -110, -146? -182 What is next in 529774, 529771, 529768, 529765, 529762? 529759 What is the next term in -15991, -16005, -16043, -16117, -16239, -16421, -16675? -17013 What is next in 299, 556, 779, 956, 1075, 1124, 1091? 964 What is next in -616321, -616323, -616325, -616327, -616329, -616331? -616333 What is the next term in 9741, 9712, 9683? 9654 What is the next term in 13474, 26915, 40356, 53797? 67238 What comes next: -3932, -3912, -3878, -3830, -3768, -3692, -3602? -3498 What comes next: 2791929, 2791927, 2791925, 2791923, 2791921, 2791919? 2791917 What comes next: 2265, 4519, 6783, 9063, 11365, 13695? 16059 What is the next term in 333, 650, 967, 1284? 1601 What is next in 25, 116, 267, 478, 749, 1080, 1471? 1922 What is the next term in -6334, -6333, -6334, -6337, -6342, -6349? -6358 What is next in 159634, 159653, 159672? 159691 What is the next term in 268, 380, 496, 616, 740? 868 What comes next: 52, 319, 836, 1729, 3124? 5147 What is the next term in 100, 527, 1272, 2335, 3716? 5415 What is next in 115598, 115615, 115638, 115667, 115702, 115743? 115790 What is next in 437, 652, 871, 1094, 1321, 1552, 1787? 2026 What comes next: 4102, 4104, 4106? 4108 What is next in -406, -1053, -1958, -3121, -4542, -6221? -8158 What is the next term in 2499, 5017, 7533, 10047, 12559, 15069? 17577 What is the next term in 514, 1861, 4034, 7033, 10858, 15509, 20986? 27289 What is the next term in 68, 165, 280, 413, 564? 733 What comes next: -640336, -640337, -640338? -640339 What is the next term in -164, -322, -474, -620, -760? -894 What is next in 103, 122, 173, 274, 443, 698? 1057 What is next in 146, 289, 442, 611, 802, 1021? 1274 What comes next: 630, 2501, 5624, 10005, 15650, 22565? 30756 What is the next term in -3979, -3824, -3427, -2668, -1427, 416, 2981, 6388? 10757 What is the next term in -213, -161, -61, 99, 331? 647 What is the next term in -213, -394, -571, -744, -913? -1078 What is the next term in 6304, 6315, 6326, 6337, 6348? 6359 What is the next term in -102, -564, -1324, -2376, -3714, -5332, -7224, -9384? -11806 What is next in 617, 2485, 5579, 9881, 15373? 22037 What comes next: 17366, 17384, 17422, 17486, 17582, 17716, 17894, 18122? 18406 What is next in 701573, 701571, 701569, 701567? 701565 What is the next term in -4439, -4342, -4079, -3566, -2719? -1454 What is the next term in 4601732, 4601734, 4601736, 4601738, 4601740? 4601742 What comes next: 1309731, 2619459, 3929187, 5238915, 6548643, 7858371? 9168099 What is the next term in 29043, 58033, 87025, 116019, 145015, 174013, 203013? 232015 What is the next term in -2424, -7244, -15270, -26496, -40916, -58524, -79314, -103280? -130416 What is next in -117, -486, -1101, -1962, -3069, -4422, -6021? -7866 What is next in 1010, 985, 914, 773, 538? 185 What is the next term in -173, -663, -1473, -2603? -4053 What comes next: -127537, -127535, -127533, -127531, -127529, -127527? -127525 What comes next: 690, 1756, 2822, 3888? 4954 What is the next term in 1304, 2673, 4068, 5495, 6960, 8469, 10028? 11643 What is the next term in -48515, -48516, -48517, -48518, -48519, -48520? -48521 What is the next term in 56939, 56941, 56943? 56945 What comes next: 131016, 130987, 130956, 130923? 130888 What is the next term in 188, -517, -1232, -1963, -2716, -3497, -4312, -5167? -6068 What comes next: -23, 90, 439, 1144, 2325? 4102 What comes next: 33, 313, 1071, 2547, 4981, 8613? 13683 What is the next term in 8973, 9009, 9049, 9093? 9141 What is next in 26541, 26548, 26555, 26562, 26569, 26576? 26583 What comes next: 278, 238, 196, 146, 82, -2, -112, -254? -434 What comes next: 26, 53, 92, 149, 230, 341, 488, 677? 914 What is the next term in 1196396, 1196393, 1196390, 1196387, 1196384? 1196381 What is the next term in -528521, -528526, -528535, -528548? -528565 What is the next term in -333, -201, 157, 855, 2007, 3727? 6129 What is next in -100912, -201817, -302722? -403627 What comes next: -1602, -3128, -4500, -5640, -6470? -6912 What is next in 437, 872, 1323, 1796, 2297, 2832, 3407, 4028? 4701 What is the next term in -8595, -8641, -8687, -8733, -8779? -8825 What is the next term in 99, 67, -27, -213, -521, -981? -1623 What comes next: 6, 2, 0, 0, 2, 6, 12? 20 What is the next term in 473, 464, 435, 374, 269, 108, -121, -430? -831 What is next in -57317, -229281, -515889, -917141, -1433037, -2063577, -2808761? -3668589 What comes next: -1127, -1296, -1545, -1868, -2259, -2712, -3221, -3780? -4383 What is next in 6858, 13523, 20188, 26853, 33518? 40183 What is next in 679, -293, -2917, -7193, -13121, -20701, -29933? -40817 What is next in -11157738, -11157736, -11157724, -11157696, -11157646? -11157568 What is the next term in 86, 414, 958, 1718, 2694? 3886 What is the next term in -4948, -4803, -4562, -4225, -3792, -3263, -2638? -1917 What comes next: -175, -369, -565, -763, -963, -1165, -1369? -1575 What is next in 200, 225, 262, 311, 372? 445 What is next in 219, 622, 1293, 2232? 3439 What is the next term in -2906, -2919, -2944, -2987, -3054, -3151, -3284, -3459? -3682 What comes next: 2760, 5536, 8324, 11124, 13936? 16760 What comes next: -8802, -8884, -8966, -9048, -9130? -9212 What is next in -3334, -3668, -4002? -4336 What is next in -524, -894, -1264, -1634, -2004, -2374? -2744 What is next in -37774, -37776, -37778, -37780? -37782 What is the next term in 1017, 2032, 3043, 4050, 5053, 6052, 7047? 8038 What is next in -36, -177, -610, -1485, -2952? -5161 What is next in -1351, -2503, -3665, -4843, -6043? -7271 What is the next term in -2297, -9176, -20639, -36686, -57317, -82532? -112331 What is next in 2688, 5389, 8080, 10755, 13408, 16033? 18624 What is the next term in -107, -226, -411, -662, -979, -1362, -1811? -2326 What comes next: -53, -189, -419, -743? -1161 What comes next: 51900, 103855, 155810, 207765? 259720 What is the next term in -4631, -4644, -4661, -4676, -4683, -4676, -4649? -4596 What comes next: -1026, -4038, -9036, -16020, -24990, -35946? -48888 What is next in 554109, 554111, 554113, 554115, 554117? 554119 What is next in -27682, -55330, -82978, -110626, -138274? -165922 What is next in 61, 115, 157, 181, 181, 151, 85? -23 What is the next term in -7570, -7495, -7420, -7345, -7270? -7195 What comes next: 3, -55, -157, -309, -517, -787, -1125, -1537? -2029 What comes next: 5193, 5115, 4993, 4833, 4641, 4423, 4185? 3933 What is the next term in -1838, -1828, -1810, -1784, -1750, -1708? -1658 What is next in 5525, 5595, 5673, 5765, 5877, 6015, 6185? 6393 What comes next: 3, 127, 385, 819, 1471? 2383 What is next in -5, -109, -465, -1223, -2533, -4545? -7409 What is next in 75275, 75261, 75245, 75227, 75207, 75185? 75161 What is the next term in 3501, 7007, 10499, 13971, 17417? 20831 What is next in 667, 1168, 1657, 2128, 2575, 2992, 3373? 3712 What is the next term in -1184, -1912, -2640, -3368, -4096? -4824 What is the next term in -209, -414, -617, -818, -1017, -1214? -1409 What is the next term in 4186, 8574, 12962, 17350? 21738 What is the next term in 13316, 13308, 13298, 13286, 13272, 13256? 13238 What is the next term in 81, 254, 427, 600, 773? 946 What comes next: 5371339, 5371326, 5371297, 5371246, 5371167, 5371054, 5370901, 5370702? 5370451 What is next in 1738, 1755, 1798, 1879, 2010? 2203 What comes next: -2214070, -4428139, -6642208, -8856277? -11070346 What is the next term in 678, 5415, 18258, 43263, 84486, 145983, 231810, 346023? 492678 What is the next term in -17467, -17498, -17529? -17560 What comes next: -532, -2093, -4678, -8287? -12920 What comes next: -117984, -118182, -118370, -118542, -118692? -118814 What is next in 35952, 71902, 107854, 143808, 179764, 215722? 251682 What comes next: 53, 107, 227, 437, 761? 1223 What is the next term in -4458, -4479, -4498, -4503, -4482, -4423, -4314, -4143? -3898 What is the next term in -5546, -5499, -5416, -5297, -5142? -4951 What comes next: 1643, 3357, 5143, 7007, 8955? 10993 What is next in 2549, 5283, 8007, 10727, 13449, 16179, 18923? 21687 Wh
{ "pile_set_name": "DM Mathematics" }
Suppose 3*s - 7 = 4*f, 3*f + 8 = 4*s + s. Let x be 1626/30 + f/5. Suppose 8*l - x = 5*l. What is the tens digit of l? 1 Let c(n) = -n**2 - 5*n + 1. Suppose 34 = -2*m - 4*z - 12, -3*z - 9 = 0. Let t = 12 + m. What is the units digit of c(t)? 1 Let j(z) = 10*z + 17 - 9*z + z. Let c be j(10). Let b = 120 - c. What is the units digit of b? 3 Let m(k) be the second derivative of -k**5/10 + 25*k**4/12 - 11*k**3/6 - 9*k**2 + 13*k. Let j be m(12). What is the tens digit of 2/j - (-1542)/9? 7 Suppose -q = m + 3, -m - 3*m + 5*q = -15. Suppose -2*p - 3*d - 10 = 2*p, 3*p - 2*d + 16 = m. What is the tens digit of (27/p)/(24/(-320))? 9 Let t(p) = 3*p**2 - 19*p + 26. Let s be t(-12). Let h = s + -249. What is the units digit of h? 7 Suppose -22*b + 19403 + 119187 = 25092. What is the hundreds digit of b? 1 Suppose k = -3*g + 20, k = 4*k - 3*g. Suppose o = k, -2*q = q + o - 437. What is the hundreds digit of q? 1 Suppose -232*i + 576*i + 145682 - 976786 = 0. What is the thousands digit of i? 2 Suppose 28*o - 30*o - 1608 = -l, -l - 4*o + 1614 = 0. Suppose -30*f + 37*f - l = 0. What is the hundreds digit of f? 2 Let x be (-8 - (-288)/40)/(4/(-10)). Suppose 4*t = 4*h - 4, -3*h + t - x*t = 1. Suppose 20*j - 24*j + 828 = h. What is the tens digit of j? 0 Let i(q) = -433*q**3 + 32*q + 61. What is the thousands digit of i(-3)? 1 Let m(k) = 16*k**2 - 7*k - 11. Let s be m(8). Suppose 3*n = -21 + s. What is the hundreds digit of n? 3 Suppose -2220 = 30*z - 19686 - 11544. What is the hundreds digit of z? 9 Suppose -h = 2*x - 4, 2*h + 5*x + 4 = 7*x. Suppose 7*z - 9*z + 3*b = h, -3*z - 3*b = 0. Let v(t) = -t**3 - t**2 - t + 137. What is the units digit of v(z)? 7 Suppose 4*i + 14978 + 2903 = 3*p, 29851 = 5*p - 19*i. What is the tens digit of p? 5 Suppose -f = 2*h + h - 36, 4*h = f + 55. Suppose h*s - 1020 = 8*s. Suppose 2*b + s = 2*p, b = -p + 3*b + 107. What is the tens digit of p? 9 Let a = -10 - 11. Let o = 74 + a. Let p = -52 + o. What is the units digit of p? 1 Let i(y) = 10557*y**3 + y**2. Let r be i(-1). What is the units digit of 2/7 - r/98? 8 Let q be 4/6 - (-3832)/3. Suppose -5*p + 3*t + q = -1563, 5*p - 2833 = -t. What is the hundreds digit of p? 5 Let n(c) = -4*c - 56. Suppose 5*f = -28 - 642. Let b = f + 118. What is the units digit of n(b)? 8 Let k(a) = -693*a - 128. Let w(j) = 230*j + 43. Let u(l) = 4*k(l) + 11*w(l). What is the units digit of u(-4)? 9 Let w(j) = -j**3 - j**2 + j - 5. Let f = 11 + -8. Let n(t) = -t**2 + t. Let h(s) = f*n(s) + w(s). What is the tens digit of h(-6)? 4 Suppose 13 - 19 = -3*h. Suppose 207 = h*j - 11*j. Let g(z) = -z**3 - 24*z**2 - 32*z - 55. What is the tens digit of g(j)? 5 Let r(m) = -m**3 + 16*m**2 - 19*m - 20. Suppose -3*c + 4*x = -170, -3*c - x - 218 = -7*c. Suppose -5*p = -16 - c. What is the units digit of r(p)? 6 Suppose -2*w - 16 = -3*b, -2*b - 2*w = 9 - 3. Let f be (-21)/(-9)*(b - -1). Suppose 0 = f*g - 579 - 100. What is the units digit of g? 7 Suppose -p + 3*p = 8. Let d = 586 - 586. Suppose p*b - 42 = -d*s - 2*s, 5*b - 49 = s. What is the tens digit of b? 1 Suppose 4*d = -3*g + 3265, 5*g = d - 449 - 350. Suppose 6*j - 28 = 2*j. Suppose 82 = j*o - d. What is the tens digit of o? 2 Suppose k = -3*w + 5, 0 = 3*k + 5*w + 3 - 14. Suppose -5*t = -2*i + 684, -k*i = i + 4*t - 1072. What is the hundreds digit of i? 3 Suppose -5*d = -10*p + 6*p - 32027, -3*d = -3*p - 19215. What is the units digit of d? 7 What is the thousands digit of (-3)/4 + (-814165)/(-44)? 8 What is the hundreds digit of (-7)/(4/52 - (-21804)/(-279565))? 5 Suppose 3*u = -2*j + 48, 6*j - 3*j - 74 = -5*u. Suppose -4*m + j*m = 12180. What is the hundreds digit of m? 8 Let u(k) = -k**3 - 5*k**2 + 5*k - 8. Let d be u(-7). Suppose 181 - d = -6*r. Let f = r - -51. What is the units digit of f? 0 Suppose -36*t - 3510 = -9*t. What is the tens digit of 18/(-3 - 394/t)? 8 Let k(h) = 1641*h + 797. What is the thousands digit of k(27)? 5 Suppose 0 = -8*g + 12*g + r - 120, 0 = -3*r - 12. Suppose -g*k + 21*k = -4270. What is the hundreds digit of k? 4 Let j(a) = 12*a**2 - 6*a + 35. Let v be j(13). Let u = v - 732. What is the tens digit of u? 5 Let k be 18361/5 - 1/5. Suppose 7*i = -1117 + k. Suppose -7*f = -1632 + i. What is the units digit of f? 1 Let x be (-106*13/2)/(1/1). Let b = -466 - x. Suppose -2*u = 5*y - b, 481 = 4*u - 3*y + 6*y. What is the units digit of u? 4 Suppose -4*l - 14990 - 1 = -3*b, 0 = -5*b - l + 25008. What is the hundreds digit of b? 0 Suppose 50*r - 97510 = -109*r + 243386. What is the units digit of r? 4 Let v = 26 + -18. Suppose -v = 11*n - 7*n. Let x(k) = -25*k**3 + 5*k**2 + 5*k + 4. What is the tens digit of x(n)? 1 Suppose 3*b = 1546 - 166. Let g = b + -130. What is the tens digit of g? 3 Let d(a) = 18*a + 19. Let n be d(9). Let w = -91 + n. What is the units digit of w? 0 Let f be ((-8)/2)/(-2 + (-336)/(-175)). Let g = f + 514. What is the hundreds digit of g? 5 Suppose -m = p - 10, p + 8 = 2*m - 0*p. Let y be (-10)/(-4)*(-2646)/(-9). Suppose -y - 273 = -m*x. What is the tens digit of x? 6 Let c = 20906 - 10114. What is the units digit of c? 2 Suppose -29*m + 75478 = 4*d - 19*m, -3*m + 9 = 0. What is the hundreds digit of d? 8 What is the units digit of -7 + (4/(-4) - -8 - -9753)? 3 Let w(u) = 10548*u**3 - 2*u**2 + 4*u - 3. Let t be w(1). What is the units digit of t/7 + -1 + (-138)/(-483)? 6 Let b = -33976 - -59023. What is the units digit of b? 7 Let z be ((-102)/15)/(10/(-950)). Suppose 0 = -3*k - 250 + z. Suppose -2*u + 0*u = -k. What is the units digit of u? 6 Let s = -6643 + 11081. What is the tens digit of s? 3 Let f = 13309 + -7816. What is the tens digit of f? 9 Let m be (-1270)/(-26) + -9 + 1190/130. Suppose -l + m*l - 36672 = 0. What is the units digit of l? 4 Suppose 11*d - 36 = 2*d. Suppose 16*r - 1767 = -3*y + 11*r, d*y = -r + 2373. What is the tens digit of y/72*(-32)/(-3)? 8 What is the tens digit of (-27)/27 + 8928/1? 2 Let h = 83 - 55. Suppose -30*r = -h*r - 622. Suppose 2*x + 2*q - 126 = 0, -2*q = 5*x + 2*q - r. What is the units digit of x? 9 Suppose 5*f - 16 = -6. Suppose 5*n = -5*y + 45, f*y + n - 6*n = 18. Suppose 924 = y*k + 2*k. What is the units digit of k? 4 Let f = -75 + 195. Let l = f + -100. What is the units digit of l? 0 Suppose 16825 = 4*y + 20099 - 50350. What is the tens digit of y? 6 Suppose -331*a + 284*a + 1054868 = 0. What is the thousands digit of a? 2 Let i(x) = -x - 8. Let s be i(-5). Let y be 360/(-7 - s) + -1 + 3. Let g = y - -188. What is the units digit of g? 0 Let o(m) be the second derivative of -m**5/20 + m**3/6 + 143*m**2/2 - 35*m. Suppose 2*r + 3*x = -12, -r = -2*r - 4*x - 16. What is the tens digit of o(r)? 4 What is the units digit of (-937039)/(-22 - 25) - (2/2 - 1)? 7 Let m(n) = -n**2 + 8*n + 86. Let l be m(14). Suppose -512 = -t + l*w, 5*t = 4*w + 2700 - 152. What is the hundreds digit of t? 5 Let u(k) = 3*k**2 - 31*k + 230. Let b be u(11). Suppose b*r - 242*r - 13370 = 0. What is the tens digit of r? 3 Let s(g) = -64*g + 295. Let l(u) = -21*u + 98. Let n(z) = 8*l(z) - 3*s(z). What is the tens digit of n(10)? 3 Suppose 20 = -4*t, 1058 = 2*m + t + 435. Let s = m - -151. What is the tens digit of s? 6 Suppose -5*i = -2*l - 20, -l - 5*i + 34 - 44 = 0. Let d(f) = f**3 + 11*f**2 - 6*f - 7. What is the tens digit of d(l)? 5 Let o = -9773 - -11824. What is the thousands digit of o? 2 Let j be 2*3*(-29 - -6). Let r = j + 146. What is the units digit of r? 8 Let m be ((-4)/(-12))/(2/24). Let s(k) = 26*k - 214 - 237 + 454. What is the units digit of s(m)? 7 Suppose 3*o = -9, -10*s + 5*o = -11*s + 11111. What is the tens digit of s? 2 Let w(q) = 36*q**3 - 169*q + 96. What is the units digit of w(12)? 6 Let h = -2 + 9. What is the tens digit of 1/h - (-3 + 58784/(-112))? 2 Suppose 2*h = -5*j - 2000, 2*j + h - 408 + 1207 = 0. Let r = 736 + j. What is the units digit of r? 4 Let y(q) = -252*q**3 + 23*q**2 + 151*q + 30. What is the ten thousands digit of y(-5)? 3 Suppose 39*x = 27*x + 672. Let f = x + -49. What is the units digit of f? 7 Let u = 257 + -241. What is the tens digit of (-12)/u*-8 - -359? 6 Let c = 353 - 203. Let i = -51 + c. What is the units digit of i? 9 Let s = 48 + 273. Let u = s - -65. What is the units digit of u? 6 Suppose -3*p + 5*z + 471 = -187, -4*p = -3*z - 892. Let
{ "pile_set_name": "DM Mathematics" }
erms in -42 + 16*m**3 + 29*m**3 + 4 - 31*m**2 + 17*m**3 + 28*m**2 + 40. 62*m**3 - 3*m**2 + 2 Collect the terms in 81 + 81 + 75 + 1038*d**3 - 1046*d**3 - 237. -8*d**3 Collect the terms in -4*i**3 + 123 + 2*i**3 + 0*i - 12*i + 0*i + 116*i**2 + 11*i. -2*i**3 + 116*i**2 - i + 123 Collect the terms in 167689 + 8*z - 167689 - 4*z + 5*z - 11*z. -2*z Collect the terms in 17*g**2 + 75 + 81 + 74 + 77 + 74 - 371. 17*g**2 + 10 Collect the terms in 88 - 60646*z - 40 - 48. -60646*z Collect the terms in 243*i**3 + 343*i**3 - 525*i**3. 61*i**3 Collect the terms in -12*l - 1245 - 1251 - 1254 - 1243 + 4988. -12*l - 5 Collect the terms in -11899*d + 19869*d - 12309*d. -4339*d Collect the terms in -625480*p**2 - 624389*p**2 + 1250637*p**2. 768*p**2 Collect the terms in -755269*o + 5*o**2 + 2*o**2 - 3 - o**2 + 1510613*o - 755344*o. 6*o**2 - 3 Collect the terms in 441 - 82 - 87 - 84 - 188 - 3*j**2. -3*j**2 Collect the terms in 133 + 142 - 311*r**3 - 275 - 54*r**3. -365*r**3 Collect the terms in 15 - 2*r - 7*r**2 - 6 - 16 + 2*r. -7*r**2 - 7 Collect the terms in 97 + d + 86 + 89 + 209 - 481. d Collect the terms in 14299979 - 14299979 - 18837*p**2. -18837*p**2 Collect the terms in -2219 - 2209 - 2217 + 14*y - 2218 + 11111 - 2248. 14*y Collect the terms in -24659*l**2 + 8234*l**2 + 8240*l**2 + 8190*l**2. 5*l**2 Collect the terms in -50*k**3 - 4353*k + 2152*k + 2201*k + 22*k**3 + 26*k**3. -2*k**3 Collect the terms in -317286*t + 7999 - 7999. -317286*t Collect the terms in 7591*p + 7605*p + 7597*p - 37963*p + 7591*p + 7591*p. 12*p Collect the terms in 1035670*x - 106984*x + 496016*x. 1424702*x Collect the terms in -63266*q**3 - 21889*q**3 + 85183*q**3. 28*q**3 Collect the terms in 80*l**3 - 179*l**3 - 3917*l**3 - 443*l**3. -4459*l**3 Collect the terms in 570*s**3 - 2159*s**3 + 14875*s**3. 13286*s**3 Collect the terms in 36*m + 6*m + 2*m + 8*m - 18837. 52*m - 18837 Collect the terms in -7152124349*r - 8 + r**2 + 8 + 7152124349*r. r**2 Collect the terms in 10749*p**3 - 3924*p**3 - 6824*p**3. p**3 Collect the terms in 2286*x - 458*x - 458*x - 456*x - 462*x - 463*x. -11*x Collect the terms in 85*l**3 + 227*l - 609*l + 135*l**2 - 135*l**2 + 382*l. 85*l**3 Collect the terms in 5450*k + 1008*k + 493*k. 6951*k Collect the terms in -1821 + 1821 + 39700*l. 39700*l Collect the terms in -4737*l - 803*l - 6411*l. -11951*l Collect the terms in 10168626174 - f - f - 10168626481. -2*f - 307 Collect the terms in 2647*i**2 + 142278*i**3 - 142280*i**3 - 2647*i**2. -2*i**3 Collect the terms in -6*i + 2922 + 3*i - 1462 - 17*i - 1460. -20*i Collect the terms in -3*r - 11 - 8*r + 19*r + 12 - r. 7*r + 1 Collect the terms in 360*h**3 - 1545*h + 358*h**3 + 1532*h - 717*h**3. h**3 - 13*h Collect the terms in 246*c - 112*c + 210*c**3 - 122*c. 210*c**3 + 12*c Collect the terms in 35562086017*u - 2 + 2 - 35562086030*u. -13*u Collect the terms in 5488*r**2 + 0*r + 4652*r**2 - 10151*r**2 + 0*r. -11*r**2 Collect the terms in -3*q + 196653*q**3 - 196597*q**3 + 3*q. 56*q**3 Collect the terms in -1271570*m - 1271565*m + 2543135*m + 34*m**2. 34*m**2 Collect the terms in -4471*k - 3836*k + 7615*k. -692*k Collect the terms in 45350 - 23375 - 21975 + 17*i**2. 17*i**2 Collect the terms in 74*d + 105860*d**2 - 208*d - 215*d. 105860*d**2 - 349*d Collect the terms in -240*j - 195*j - 1046 + 675*j - 239*j + 223 - 554. j - 1377 Collect the terms in -4 - 66*i**3 - 9*i**2 - 20 - 13 + 67*i**3. i**3 - 9*i**2 - 37 Collect the terms in 5248830939369 - 5248830939369 - 2*m**2. -2*m**2 Collect the terms in 51 - 212 + 45 + 628*o**2 + 44 + 72. 628*o**2 Collect the terms in -8 + 8 - 2 + 1 - 2391*d**2 + 2245*d**2. -146*d**2 - 1 Collect the terms in 77698924*o - 77698924*o + 11*o**2 + 18*o**2. 29*o**2 Collect the terms in 2746 + 908 + 13*s - 3668. 13*s - 14 Collect the terms in 25 + 3 + 5 - 24*z + 30*z - 35. 6*z - 2 Collect the terms in 152*i + 21*i - 251*i + 21*i + 27*i + 24*i. -6*i Collect the terms in 33*k**2 + 862 - 21*k**2 - 2 - 15*k**2 + 502 - 149. -3*k**2 + 1213 Collect the terms in 864*n**3 - 18*n**2 - 13*n**2 + 32*n**2 - 16*n**2. 864*n**3 - 15*n**2 Collect the terms in -24061 + 8147 + 8125 + 7789 + 6*g. 6*g Collect the terms in -66 + 4160*j**3 + 124 - 56 + j**2 + 468*j**3. 4628*j**3 + j**2 + 2 Collect the terms in 425 - 6619*u**3 + 428 - 853 + 171*u**3. -6448*u**3 Collect the terms in -86292*j**3 + 172576*j**3 - 86318*j**3 + 4*j. -34*j**3 + 4*j Collect the terms in -660 + 60144*k - 60103*k - 667 + 1327. 41*k Collect the terms in 185*f + 599*f + 331*f - 3*f**3 - 1697*f. -3*f**3 - 582*f Collect the terms in -3206 + 3206 + 198848*k**3. 198848*k**3 Collect the terms in -6671*z**3 - 17*z**2 - 20*z**2 - 19604*z**3 + 48*z**2 - 13*z**2. -26275*z**3 - 2*z**2 Collect the terms in 931*s**3 - 6*s**2 - 28*s**2 + 31*s**2. 931*s**3 - 3*s**2 Collect the terms in -18958*b**2 + 1 - b - 1 + 37881*b**2 - 18938*b**2. -15*b**2 - b Collect the terms in 58847*f + 58846*f - 34 + 58847*f - 10 - 176546*f. -6*f - 44 Collect the terms in -113*h**2 + 171 - 876 + 168 + 538. -113*h**2 + 1 Collect the terms in 7*j + 6*j - 28*j + 30*j + 27*j + 56*j. 98*j Collect the terms in -6500*b**2 + 12962*b**2 + 6459*b**2 + 11152*b**2. 24073*b**2 Collect the terms in -7 + 22 + 0*u**3 + 67*u - 3*u**3 - 14 + 2*u**3. -u**3 + 67*u + 1 Collect the terms in 594044*m**2 - 1188092*m**2 + 594043*m**2 + 24*m. -5*m**2 + 24*m Collect the terms in -1313*a + 3568*a + 328*a + 2530*a. 5113*a Collect the terms in -21*m**2 - 14*m**2 + 31*m**3 + 59*m**2 + 20*m**3 - 24*m**2. 51*m**3 Collect the terms in 249473*v**2 - 231967*v**2 - 492167*v**2. -474661*v**2 Collect the terms in -99*q**3 - 49*q**3 + 69*q - 211*q + 63*q + 72*q. -148*q**3 - 7*q Collect the terms in 1 - u + 22374816*u**2 - 22375096*u**2 + 4 - 5. -280*u**2 - u Collect the terms in -2*z**2 + 6540 - 19486 + 7063 + 6598 + 3*z**2. z**2 + 715 Collect the terms in -3*l - 106479 + 212982 + 0*l - 106501 + l. -2*l + 2 Collect the terms in -3*i**2 + 266*i + 40*i - 20*i**2 - 22*i**2 + 43*i**2. -2*i**2 + 306*i Collect the terms in -190*k**2 - 34*k**2 + 343*k**2 - 253*k**2 - 167*k**2. -301*k**2 Collect the terms in 5009*c**3 + 10352*c**3 - 25748*c**3 + 10390*c**3. 3*c**3 Collect the terms in -s**3 - 7*s + 0*s**3 + 2*s**3 + 12671 + 10*s**2. s**3 + 10*s**2 - 7*s + 12671 Collect the terms in 2836*b**2 - 3962*b**2 - 3 - 7390*b**2 + 3. -8516*b**2 Collect the terms in 2141*r**2 - 4440*r**2 + 1527*r**2. -772*r**2 Collect the terms in 11860 + 64*a - 17815 - 15723 - 60*a. 4*a - 21678 Collect the terms in -8*p + 40*p**2 - 79*p**2 + 3*p**2 - 119*p**2. -155*p**2 - 8*p Collect the terms in -32 - 127 + 35 + 2*s + 28 - 11. 2*s - 107 Collect the terms in 795 - 859 + 5*c - 885. 5*c - 949 Collect the terms in 218*f**3 + 238*f**3 + 956*f**3 + 1. 1412*f**3 + 1 Collect the terms in -3*s**2 - 3853352*s + 7706757*s - 3853378*s. -3*s**2 + 27*s Collect the terms in -1043960*i**2 + 2087730*i**2 - 1043936*i**2. -166*i**2 Collect the terms in 1360*h**2 - 19*h - 59*h**2 + 3 + 61*h. 1301*h**2 + 42*h + 3 Collect the terms in 41880*w**3 - 92631*w**3 - 20420*w**3 - 123371*w**3. -194542*w**3 Collect the terms in 34*t**2 - 46864 + 23415 + 23447. 34*t**2 - 2 Collect the terms in -179*d**2 + 391*d**3 + 338*d**2 - 159*d**2 + 649*d**3 - 2*d. 1040*d**3 - 2*d Collect the terms in -51*b**3 - 47*b**3 + 225*b**3 - 51*b**3 - 45*b**3 - 43*b**3. -12*b**3 Collect the terms in -3*j - 282 + 58 + 127*j**2 + 2*j - 128*j**2. -j**2 - j - 224 Collect the terms in -2*x**2 + 196535462*x - 196535462*x. -2*x**2 Collect the terms in -4297*s**3 + 1479*s**3 - 1362*s**3. -4180*s**3 Collect the terms in -382*q**2 + 204*q**2 - 434*q**2 - 295*q**2. -907*q**2 Collect the terms in -255*y**3 - 2214992314*y**2 - 3*y + 2214992314*y**2 + 79*y**3 + 3*y. -176*y**3 Collect the terms in 16 - 7*z - 50*z + 7 - 121*z. -178*z + 23 Collect the terms in 13*v**2 + 10*v**2 + 10289*v + 1119*v. 23*v**2 + 11408*v Collect the terms in 254 - 5*w - 466*w**2 - 619 + 365 + 5*w. -466*w**2 Collect the terms in 10741322*j + 4 + 3523540*j - 4. 14264862*j Collect the terms in -47*a**3 - 70 + 70 - 52*a**3 + 289*a + 92*a**3. -7*a**3 + 289*a Collect the terms in 795*c**2 + 15*c - 792*c**2 - 30*c + 4 - 50*c. 3*c**2 - 65*c + 4 Collect the terms in 266*f**3 + 76357*f**2 + 55*f**3 - 76357*f**2. 321*f**3 Collect the terms in -143*z + 2
{ "pile_set_name": "DM Mathematics" }
the third smallest value in z, -4, s? z Let x = 76 - 75.99. What is the biggest value in -0.4, 1/3, x? 1/3 Let f = 8 - 7.7. Let d = -0.1 - f. What is the third biggest value in 0.2, -2/3, d? -2/3 Let m = 12.2 - 9.2. Let l be ((-1)/5)/(2/(-6)). Which is the second smallest value? (a) m (b) l (c) 3/4 c Let j = -2 - 2. What is the second smallest value in j, 7, -0.3? -0.3 Let z = 6 - 10. Suppose 5*j = 5*o - 4*o - 17, -2 = 2*o - j. What is the second biggest value in o, -1, z? o Let p = 117 - 1286/11. Let r = -7 - -7.2. Which is the biggest value? (a) p (b) 2/7 (c) r b Let h be 4/18 + 48/(-54). Let r = -0.18 + -0.72. Let u = r - 3.1. Which is the third biggest value? (a) 0.1 (b) u (c) h b Let n = -11.2 - 0.8. Let x = n + 13. Which is the second biggest value? (a) -0.3 (b) x (c) -4 a Let j = -3 + 0. Which is the third smallest value? (a) j (b) -9 (c) -4 a Let x = -3 + 1. Let b = 5 + -10. Let s be 1 + -1 + 1*b. What is the biggest value in s, x, 0.2? 0.2 Let r = 4 + -4.1. Let p = r + -0.3. Let u = 0.6 + p. Which is the third smallest value? (a) -4 (b) u (c) 5 c Let r = -4/101 - -331/707. Let t = -1 + 2. What is the biggest value in r, 1/3, t? t Let x = -0.1 + -0.4. Which is the second smallest value? (a) 5 (b) 3 (c) x b Let d = 2 - 2.5. What is the biggest value in 1/7, d, -4? 1/7 Let z = -53.9 - -54. What is the fourth biggest value in -0.2, 1/2, 0.3, z? -0.2 Let b = -1527648/55 + 27778. Let a = -24/11 + b. What is the smallest value in 3, a, 0.3? 0.3 Let w = -3/8 - -1/8. What is the fourth smallest value in 1/4, 5, w, 1? 5 Suppose -4 = -q + 3*m - 1, -5*m - 5 = 0. Let a be -2 - (q + 0 - -3). Let w = -2 + 1.8. What is the smallest value in w, -4, a? a Let o = 394/5 - 79. Which is the second biggest value? (a) o (b) 5 (c) 0.06 c Let t be 12/80*4 - 0. Let m = 0.6 + -0.2. Which is the second smallest value? (a) 2/13 (b) m (c) t b Let z = 0.12 - 2.12. Which is the third biggest value? (a) 10 (b) -2/3 (c) z c Let t be 102/30 - 2/5. Suppose m = -l + 2*m + t, 5*l = 3*m + 7. Which is the third smallest value? (a) l (b) 0.5 (c) -2/5 b Let r = -48 + 45. Which is the fourth biggest value? (a) -12 (b) 3 (c) r (d) 1/5 a Let x be (1 - 17/15)*(-36)/(-6). What is the second biggest value in -1/4, -5, x? x Let d(x) = -x**3 - 9*x**2 - 2*x - 13. Let c be d(-9). Let t = 1.1 - 0.7. What is the third biggest value in t, c, 1/3? 1/3 Let h = -2.3 - -1.9. What is the second biggest value in 4, h, -1/7? -1/7 Let o = 0.22 + -0.13. Let n = o - -0.01. Which is the third biggest value? (a) -0.3 (b) 2/3 (c) n a Let h = 13/30 + 1/90. Let z be (162/8)/((-1)/4). Let m = -1213/15 - z. Which is the smallest value? (a) -2/7 (b) h (c) m a Let c = -26 - -25.9. Let n = 17 + -11. Let m = n - 5.5. What is the third biggest value in m, c, 4? c Let p = -0.8 + 3.8. Let k be ((-54)/10)/((-21)/70). Let f be 13 - 10 - k/8. Which is the third biggest value? (a) -5 (b) p (c) f a Let o = -3.5 + 3. Let u = -4 - -3. Let j = 11 + -6. What is the third smallest value in o, j, u? j Let y = -0.08 + 0.04. Let d = 0.36 - y. Which is the second smallest value? (a) d (b) -4 (c) 2/3 a Let l be 1 - -1 - 118/8. Let j = l + 161/12. Let n = 10/13 + 19/26. Which is the second smallest value? (a) j (b) n (c) -3 a Let p be ((-6)/8 + 0)/(-6). What is the smallest value in p, 0.2, 9, -0.1? -0.1 Let h be (-1 - 4/16) + 1. Which is the biggest value? (a) h (b) 12 (c) -4 b Let v = 13 + -13.5. Let a = 1 - -11. Let c = a - 8. What is the second smallest value in v, -0.3, c? -0.3 Suppose 3*n + 5*k = -18, 3*n - 4*k - 2 = 7. What is the biggest value in 3, n, -2/5? 3 Let b be 2 + (-2 - (1 + -6)). Suppose b*i = -2*n, 2*n - 2*i = 5*n. Suppose n = -0*r - r + 1. What is the third smallest value in 2, r, 3? 3 Let u = 9 - 10. Let k(z) = -4 + 3 + 2 - 3*z**3. Let y be k(u). What is the biggest value in -2/3, -4, y? y Let p be 4 - (-4)/2 - 3. What is the biggest value in p, 0.1, 0.3? p Suppose -3*u + 8 = u - 2*s, -5 = 5*u + 5*s. Let k = -163 - -1795/11. Which is the second smallest value? (a) u (b) k (c) 2 a Let r = -2 + 2.1. Let t be ((-6)/(-7))/3 + (-210)/49. What is the smallest value in 3, t, r? t Let z = -90 - -90.2. Which is the second smallest value? (a) z (b) -5 (c) 1.6 a Suppose -2 = d + 4. Let s be (-1)/d*4/6. Let r = -0.208 - 1.792. What is the third biggest value in r, s, -0.1? r Let i = -3 + -1. Let g = 7.1 + -7.4. What is the third biggest value in 2, i, g? i Let n = 2453/10 + -245. What is the second biggest value in -3, 0.4, n? n Let j = 1.73 + -1.63. Which is the second biggest value? (a) j (b) -3 (c) 0.4 (d) -4/5 a Let y = -2.98 - -3. Let u = -4.98 - y. Let r = u - -5.4. Which is the smallest value? (a) -1 (b) -3 (c) r b Let z = 1 + -4. Let y(f) = 5*f - 14 - 2*f + 4 - f. Let u be y(7). Which is the second biggest value? (a) u (b) z (c) -5 b Suppose h + 5*d + 4 - 15 = 0, 13 = 2*h + d. Let w be ((-2)/12)/((-2)/h). Which is the second biggest value? (a) -4 (b) w (c) 3 b Let i(l) = -l**3 + 8*l**2 - 2*l + 12. Let t be i(8). Let v be (1/t)/(18/(-48)). Which is the biggest value? (a) v (b) -2/5 (c) -0.1 a Let k = 0.03 + -0.43. Let f = k + 1.4. Which is the biggest value? (a) 1/2 (b) f (c) 5 c Let a = 47/120 + 5/24. What is the third biggest value in -0.3, 5, a? -0.3 Let i = -7 + 5. Let r be ((-1)/i)/((-4)/32). Which is the smallest value? (a) 0 (b) -3 (c) r c Suppose 3*c - 13 = 2*q - q, 4*c - 14 = -2*q. Let z = 346 - 343. What is the third biggest value in z, 2, q? q Let z = 306/11 - 28. Let x = -9 - -9. Suppose x = -n + 5*n + 12. Which is the second smallest value? (a) z (b) n (c) 1/2 a Let l = 0 + -0.9. Let n = l + 0.7. What is the third biggest value in n, 1, -5/6? -5/6 Let y = 3.07 + -0.07. Let q = 5 - y. Let u be (-2 - -4) + 6/(-4). Which is the smallest value? (a) u (b) 2/11 (c) q b Let v = 77 - 72. Suppose -5*i - 1 = 4*o - 23, -3*i + 28 = -5*o. Suppose -15 = 3*k, i*w = 2*w + 5*k + 21. Which is the third biggest value? (a) 3 (b) w (c) v b Let m be (0 - -5)*2/(-5). Let v = -0.8 + 0.5. Which is the biggest value? (a) -1/11 (b) m (c) v a Let v be ((-2295)/12)/((-14)/8). Let z = 109 - v. What is the smallest value in z, 3, -3? -3 Suppose -2*g = -g - 1. Let o be ((-79)/2)/(12/g). Let b = 35/12 + o. What is the third smallest value in 3, 0.3, b? 3 Let k = 0.71 - -0.26. Let r = k - -0.03. What is the biggest value in -0.4, r, -4? r Let f = 52 + -517/10. What is the third biggest value in 0.2, f, -0.3? -0.3 Let b = 58 - 65. What is the biggest value in 2/9, -3, b, -0.2? 2/9 Suppose 3*j = 2*j - 1. Let u = -3 - j. Let p be 11/(-4) + 4/16. Which is the third biggest value? (a) p (b) -1 (c) u a Let s(j) = j**3 + 3*j**2 - 5*j - 3. Let c be s(-3). Let d be 1*c*(-3)/3. Let m be (d/9)/(2/(-6)). What is the biggest value in m, 0.1, 0.2? m Let g = -5.28 + 0.28. What is the smallest value in 1/4, g, 0.5? g Let v = 7 + -1. Let f = -2.7 - -0.7. Let d = v + f. What is the second smallest value in d, -0.5, 5? d Let v = -34 + -20. Let n = v + 916/17. Which is the second biggest value? (a) 3 (b) 0.2 (c) n b Let f = -204/5 + 41. What is the third smallest value in -0.3, f, 1? 1 Let l = -34 + 31. Which is the smallest value? (a) -1/4 (b) l (c) 1 b Let s be ((-26)/6)/((-2)/(-12)). Let l be -3 - (-4)/((-24)/s). Which is the third biggest value? (a) 0 (b) 3 (c) l a Let m = -1.7 - -4.7. Which is the third biggest value? (a) m (b) 0.2 (c) -9 c Let r = 4.03 - 0.03. Let w = -1.1 - -6.1. Let g = 2.5 - 2.8. Which is the third biggest value? (a) w (b) g (c) r b Let w = -10 - -14. Let u be w/(24/9)*-2. Which is the smallest value? (a) 2 (b) u (c) -2/3 b Let z = -0.19 + 0. Let p = -0.69 - z. Which is the third smallest value? (a) 0.3 (b) p (c) 2/5 c Let k = -0.2 - -0.5. Let w = 13.6 + -14. What is the third biggest value in k, w, 4? w Let u = 0.33 - 2.23. Let h = u + 2. Let p = 4/359 + -1472/3231. Which is the biggest value? (a) p (b) -2/3 (c) h c Let y = -2 - -6. Let j = y - 3. Let l be (-1)/(-36) + j/(-4). What is the smallest value in -1/2, -0.4, l? -1/2 Let o be (-3)/6*(0 - 0). Let i = 43 - 21. Suppose -i = 5*j - 4*u - 3, -5*j + 5*u = 20. What is the second biggest value in j, o, 1/5? o Suppose 2*z - z = -9. Let q be z/(-7)*1/(-
{ "pile_set_name": "DM Mathematics" }
-182. Give v(y). 0 Let x(h) be the first derivative of -3*h - 208 - 2/3*h**3 + 1/2*h**2. Give x(2). -9 Let l(c) = -c**3 + 2*c**2 + 2*c - 7. Suppose 3*w = -k - 18, -4*w - 11*k + 15*k = 8. Calculate l(w). 158 Let a(c) = 5*c - 1. Let i(z) = 37 + 20*z - 5 + 6*z**2 - 22. Let k be i(-3). What is a(k)? 19 Let n(o) = -o + 3. Suppose -k + 36 = 2*k + 3*g, -2*g - 32 = -5*k. Let z(p) = k - 3 - 16*p + 14*p. Let a(q) = -9*n(q) + 4*z(q). What is a(-7)? -14 Let b(l) = -l**2 - 10*l - 2. Let s be b(-4). Suppose 0 = -3*n + 4*d + s - 35, 0 = 5*n + 3*d + 12. Let w(k) = k**3 + k**2 - 2*k - 4. Give w(n). -16 Let w(y) = -10*y**2 + 424*y + 37. Let q(n) = 5*n**2 - 264*n - 18. Let g(m) = -5*q(m) - 3*w(m). What is g(-9)? -48 Let g be ((-6)/(-9))/((6/891)/1). Let u = g + -106. Let o(r) = -r**3 - 9*r**2 - 9*r + 1. Calculate o(u). -34 Let h(a) = -99*a**2 - 6*a + 27. Let b(y) = -85*y**2 - 5*y + 26. Let q(j) = 7*b(j) - 6*h(j). Determine q(0). 20 Let b(h) = -2*h**3 - 12*h**2 - 11*h + 7. Let y = -347 - -344. Let i(o) = -5*o**3 - 34*o**2 - 32*o + 21. Let x(u) = y*i(u) + 8*b(u). Calculate x(7). 0 Let z = 12453 + -12447. Let o(f) = f**3 - 5*f**2 - 11*f + 1. Determine o(z). -29 Let i(h) = h**3 - 8*h**2 + 3*h - 6. Let t = -3337 + 3345. Give i(t). 18 Let y(m) be the second derivative of -m**5/10 + 7*m**4/6 + 14*m**3/3 - 93*m**2/2 + 2875*m. Determine y(8). 3 Let i(d) = -16*d**2 + 4*d + 10. Let u(b) = 5*b**2 - 2. Let q(o) = -i(o) - 3*u(o). Give q(-1). 1 Let p be ((-2)/(-3))/(2/6). Suppose 36*d - 47 - 205 = 0. Let a(c) = -7 + 0 + 9 + c + c**3 - d*c - 5*c**p. Calculate a(6). 2 Let k be ((-1036)/(-20))/7 + (-4)/10. Suppose -13*j + 14*j - k = 0. Let o(z) be the first derivative of -z**4/4 + 2*z**3 + 5*z**2/2 + 5*z + 28. Calculate o(j). -9 Let q(a) be the third derivative of -a**7/2520 - 7*a**5/24 + a**4/12 + 20*a**3/3 + 111*a**2. Let g(r) be the second derivative of q(r). What is g(0)? -35 Let c = -2617 - -2622. Let p(t) = t**3 - 7*t**2 + 9*t + 9. What is p(c)? 4 Suppose -4*r = 4*t - 600, -3*r + 120 = -3*t - 300. Let v(j) = -r*j + 69*j + j**2 + 68*j. Determine v(6). -12 Let n(q) = -16*q + 555. Let u = 28644 + -28609. Give n(u). -5 Let a(t) = -2*t**3 + t**2 - t - 1. Suppose 0 = 13*j - 11*j - 5*u - 8, 0 = 3*j + 3*u - 12. Suppose 2*f - 5 = -3*f + 3*s, -j*s = 0. Give a(f). -3 Suppose 4*p = -16, -2*t + 46 = -5*p + 18. Suppose 0 = -t*a + 2*a - 4. Let q(j) = 13 - 62*j - 72*j - 98*j - 10 + 238*j. Give q(a). -9 Suppose -2*r - 3*a + 4 = 0, 24 = -r + 3*r - 2*a. Let w(q) be the first derivative of q**3/3 - 9*q**2/2 + 2*q - 2798. Calculate w(r). -6 Let p(k) = 4*k - 32. Let r be p(10). Let z be 168/(-16)*r*(-2)/6. Suppose -36*t + z*t + 16 = 0. Let g(q) = 2*q**3 + q**2 - 2*q + 3. Calculate g(t). 19 Let o(g) = -5 + 739*g**2 - 733*g**2 - 5 - g**3 + g - 1 - 3. Give o(6). -8 Let i be ((-16)/4)/(-1*2). Let o(g) = 0*g**2 - 4*g + 0*g**2 + 1 + g**3 + 4*g**i + 5*g. Let h(c) = c**2 + 17*c + 49. Let w be h(-13). Give o(w). 7 Let n be -2*(-3)/(1 - 2). Let j = 89 + -89. Let p(l) = -5*l**2 + j + 0*l**2 - 1 + 7*l + 4*l**2 - 15*l. Determine p(n). 11 Let l(j) = -11*j**3 + 5*j**2 + 5*j - 1. Let k(g) = 30*g**3 - 13*g**2 - 14*g + 2. Let r(i) = -3*k(i) - 8*l(i). Give r(-1). 1 Let f(n) = 11*n - 59. Let m = 192 + -197. Determine f(m). -114 Suppose -3*l = -6*l + 198. Suppose -l*p + 72*p = -36. Let x(c) be the first derivative of -c**4/4 - 2*c**3 - c**2 - 2*c + 1. What is x(p)? 10 Let l(m) = -10*m + 7*m - 9854 + 9820. Give l(-10). -4 Let n(g) = 50*g**2 + 2*g - 139. Let i(w) = 66*w**2 + 3*w - 142. Let u(r) = -3*i(r) + 4*n(r). Give u(8). -10 Let y(z) = 3*z - 5*z + 6 + z. Let i be (-55)/2*(-36)/45. Suppose -6*u + i = -14. Give y(u). 0 Let j(q) be the third derivative of 1/3*q**3 + 55*q**2 + 0*q - 1/60*q**5 + 0 - 1/24*q**4. Give j(-3). -4 Let z(s) = -87*s + 699. Let j be z(8). Let m(w) = w**3 - 2*w**2 - 8*w + 7. Give m(j). -8 Let h(a) = -3*a**3 + 2*a**2 - 4*a - 4. Let f(b) = 324*b + 10690. Let l be f(-33). What is h(l)? 36 Let c be 132/(99/(-9)) - (-12 - -3). Let l(j) = 7*j**2 + 3*j - 7. Determine l(c). 47 Let m(j) = -4*j**2 + 14*j - 3. Let o(i) = -4*i + 112. Let z be o(27). Give m(z). -11 Let u be 40 + (-30848)/672 - 2/21. Let v(w) = w**2 - 2*w - 10. What is v(u)? 38 Suppose 3*k - 12 = -2*z, 3*k - 4*k = 5*z - 17. Let v(f) be the third derivative of 0 - 501*f**2 + 2/3*f**3 + 0*f - 1/12*f**4. Determine v(z). -2 Suppose -14*m = -165 + 39. Let c(l) = 13*l**3 + 9*l**2 - 5*l + 17. Let g(a) = -3*a**3 - 2*a**2 + a - 4. Let h(b) = m*g(b) + 2*c(b). Give h(2). -12 Suppose -257*p - 90 = -267*p. Let t(c) = 10*c - 5 + c**3 + 11 - 10*c**2 - 11. Give t(p). 4 Let d(n) = -n**3 + 22*n**2 - 20*n - 21. Let f = -25647 - -25668. Determine d(f). 0 Let w(c) be the second derivative of c**4/12 + c**3/2 + c**2 + 2*c. Let k = -233 - -287. Let s be (2/(-2))/(18/k). Determine w(s). 2 Let v(k) = -5 + 5*k - 7*k - 12 - 5 + 2. What is v(0)? -20 Let r be (2/(-6))/((-54)/162). Let f be -1 + 2 - (-2 - r - -4). Let n(c) = c**2 + 2. Give n(f). 2 Let g = 255 + -140. Suppose 0 = -952*t + 948*t + 456. Let z = g - t. Let m(s) = -s**3 - s**2 - s + 1. What is m(z)? -2 Let j(u) = 520 + 12*u**3 - 22*u**3 - 515 - 15*u + 3*u**2 + 4*u**3 + 7*u**3. What is j(-7)? -86 Suppose 3*o = -6, 4*u + 3*o + 0 + 6 = 0. Suppose -4*b + 9 = -z - 0, u = -2*z - 5*b - 5. Let p(a) = -a**3 - 7*a**2 - 3*a - 6. What is p(z)? -41 Let i = 153 + -144. Let u(a) = 20*a + i*a**2 - 12 - 3*a + a**3 + 8. Let y be u(-6). Let l(d) = d**2 - d - 1. Determine l(y). 1 Let w(g) = -5*g - 28. Let v(l) = -3. Let q(b) = -4*v(b) + w(b). Let t(j) = 27*j + 81. Let z(i) = -11*q(i) - 2*t(i). Calculate z(-5). 9 Let y(v) be the second derivative of -v**3/2 - 3*v**2/2 - 2*v + 61. Suppose -2*k - 4*s = -8, s - 4*s = -3*k + 3. Give y(k). -9 Let f = 75 + -71. Suppose -2*t = -f*g + 16, 13 + 3 = -t + 4*g. Let u be 3/(-3 + t) - 0. Let b(a) = -a**2. Calculate b(u). -1 Let h = 345 - 615. Let a = 264 + h. Let o(k) be the first derivative of -k**2/2 + k - 1. Calculate o(a). 7 Let s = -724 + 727. Suppose j - 6 = -3*t, 3*t + 3*j - j - s = 0. Let r(a) = -a**2 + a. Determine r(t). -6 Let x(w) = -2*w**2 - 158*w - 884. Let y be x(-73). Let q(c) = 14*c + 119. What is q(y)? 7 Suppose 0 = -40*w - 7*w + 423. Let g(y) = -y**3 + 8*y**2 + 6*y + 29. Calculate g(w). 2 Let d(a) = a + 19. Let c = 259 + -259. Suppose -4*u - 16 = -3*i - c*u, -3*u - 12 = -3*i. What is d(i)? 19 Let p be 1 + ((-8)/(-6))/(316/60 + -5). Let x(w) = -w - 1. Let k(s) = s**2 - 4*s + 7. Let t(c) = -k(c) - 4*x(c). Determine t(p). 9 Suppose 2*q - 10*q = 0. Suppose -5*p - 122 = -z + 407, -5*z + 20 = q. Let v = p + 111. Let g(j) = j - 12. Calculate g(v). -6 Let j be 5/25 - (-1)/(-5). Let r(q) be the first derivative of 0 + 4 + 0 + q**2 + j*q**2. Calculate r(-4). -8 Let c(d) be the second derivative of 3*d**5/5 + 2*d**3/3 - 3*d**2/2 - 379*d. Give c(1). 13 Let t = -7 - -3. Let f(c) be the third derivative of c**6/120 + c**5/30 - c**3/3 + 3221*c**2. Determine f(t). -34 Let m(u) = u**3 + 15*u**2 + 11*u - 12. Let z be -23 + ((-13)/(117/(-72)) - -1). Calculate m(z). 30 Suppose 90*q + 2 = -4*d + 92*q, -4*d - 2*q - 38 = 0. Let r(j) = -8*j - 32. Give r(d). 8 Suppose 0 = 5*x - 109 + 339. Let p(y) = 4*y + 6. Let f be p(10). Let h = x + f. Let s(v) = -v**2 + v + 6. What is s(h)? 6 Suppose 3*y + 22 = -2*l, 0 = 4*l - 39*y + 35*y + 64. Let u(z) be the second derivative of -z**4/12 - 13*z**3/6 + 6*z**2 - 8*z. Calculate u(l). -2 Let b = 852 + -840. Let j(q) = 6 + 1 - q - 12 + 14. What is j(b)? -3 Let b be (30/(-4))/((-105)/490). Let x be (b/(-28)*-2)/(2/4). Let p(r) = -r**3 + 6*r**2 - 7*r + 1. What is p(x)? -9 Let i(l) = l**2 + 18*l - 17 + 58 + 14*l - 47*l + 27*l. Determine i(-9). 14 Let n(x) = 18*x**3 - 81*x**2 + 137*x + 85. Let v(y) = 29*y**3 - 123*y**2 + 205*y + 127. Let s(c) = -8*n(c) + 5*v(c). Give s(-35). -10 Let i(x) = x + 39. Let l be (-16)/(-9)*(-6)/(-4)*-3. Let d be -1*(1 - l) - -9. Determine i(d). 39 Let x = 2 + -4. Let y be (1/x)/(1/12). Let c(j) be the first derivative of -j**4/4 - 5*j**3/3 + 4*j**2 + 6*j + 138296. Determine c(y). -6 Let v(q) = q**2 + q + 1. Let l(c) = 3*c + 1 + c**2 + 21*c - 2*c**3 - c**3 - 23*c. Let z(b) = -l(b) + 2*v(b). Let d = -1 - 0. Determine z(d). -2 Let u(a) = -54 + 4*a + a**3 + 50 - 6*a**2 + 12. Give u(5). 3 Let t(o) = 3*o**2 + o**3 + 3 - 5 + 4*o + 3*o + 5*o**2.
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 q. 2/5 Four letters picked without replacement from {a: 6, d: 4, h: 1, x: 3, q: 2, o: 2}. Give prob of picking 2 q and 2 a. 1/204 Three letters picked without replacement from {x: 1, q: 1, s: 3, o: 1, y: 1}. What is prob of picking 1 s and 2 y? 0 Calculate prob of picking 2 u when two letters picked without replacement from {x: 7, s: 2, u: 4}. 1/13 Three letters picked without replacement from wbbwwgwwbwb. Give prob of picking 3 b. 4/165 Calculate prob of picking 2 c when two letters picked without replacement from fffcccffcffcf. 5/39 Calculate prob of picking 2 t and 1 q when three letters picked without replacement from jyttjqthttjqqqth. 3/28 What is prob of picking 3 g and 1 t when four letters picked without replacement from ggtgtgggtggtgt? 60/143 Calculate prob of picking 1 h and 1 q when two letters picked without replacement from hmmmmmmvmfmq. 1/66 Four letters picked without replacement from {d: 3, n: 1, p: 3}. Give prob of picking 3 d and 1 n. 1/35 Two letters picked without replacement from {v: 8, j: 7, z: 3}. Give prob of picking 1 j and 1 z. 7/51 What is prob of picking 2 h when two letters picked without replacement from {h: 7, b: 2}? 7/12 What is prob of picking 2 u when two letters picked without replacement from {j: 2, e: 1, r: 4, b: 3, u: 2}? 1/66 Three letters picked without replacement from {y: 1, m: 2, a: 2, d: 3, t: 3, u: 3}. What is prob of picking 2 a and 1 m? 1/182 Four letters picked without replacement from stttssss. What is prob of picking 4 s? 1/14 Two letters picked without replacement from jjrjjr. What is prob of picking 2 r? 1/15 Two letters picked without replacement from {w: 3, o: 2}. What is prob of picking 2 w? 3/10 Two letters picked without replacement from {t: 5, o: 4, x: 7}. Give prob of picking 1 x and 1 o. 7/30 What is prob of picking 4 q when four letters picked without replacement from tqtdffqpqqt? 1/330 Two letters picked without replacement from uuullulu. What is prob of picking 2 u? 5/14 Calculate prob of picking 1 h and 1 a when two letters picked without replacement from ynhhaean. 1/7 What is prob of picking 1 y and 1 b when two letters picked without replacement from {t: 1, s: 1, b: 2, j: 2, y: 14}? 14/95 Four letters picked without replacement from dsdddmadasmmd. What is prob of picking 2 m, 1 s, and 1 d? 36/715 What is prob of picking 1 w and 3 e when four letters picked without replacement from wyexehehbhyh? 1/495 Two letters picked without replacement from {o: 10, s: 1, v: 4, l: 4}. Give prob of picking 2 o. 5/19 Calculate prob of picking 1 y, 1 x, and 2 z when four letters picked without replacement from {y: 3, z: 2, p: 4, x: 2}. 1/55 What is prob of picking 1 t and 2 i when three letters picked without replacement from {i: 2, t: 5}? 1/7 Calculate prob of picking 1 x, 2 u, and 1 b when four letters picked without replacement from cjtxcbbxcxbjbjujjuj. 1/323 Four letters picked without replacement from {k: 4, i: 2, g: 5}. What is prob of picking 1 i, 2 g, and 1 k? 8/33 Two letters picked without replacement from prupp. What is prob of picking 1 r and 1 u? 1/10 Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, v: 7}. 1/36 Four letters picked without replacement from zczvcscvvarvv. What is prob of picking 1 s, 1 v, and 2 z? 1/143 Calculate prob of picking 1 y, 1 p, 1 z, and 1 m when four letters picked without replacement from zaymmmpmqpamq. 2/143 Four letters picked without replacement from {l: 11, m: 2}. Give prob of picking 2 m and 2 l. 1/13 What is prob of picking 2 i when two letters picked without replacement from iiiiifiiiiiiiii? 13/15 What is prob of picking 2 z when two letters picked without replacement from ffffzfffzfffzfzffff? 2/57 Calculate prob of picking 3 v and 1 l when four letters picked without replacement from {v: 4, l: 7, i: 3}. 4/143 Three letters picked without replacement from fyjnyjlnjppjnlp. What is prob of picking 1 l, 1 j, and 1 y? 16/455 Calculate prob of picking 2 t when two letters picked without replacement from gvtgvtyf. 1/28 What is prob of picking 1 g and 1 j when two letters picked without replacement from ozoeujg? 1/21 Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {n: 3, b: 1, x: 1, p: 1, c: 3, a: 2}. 2/55 Calculate prob of picking 1 w, 1 m, and 2 l when four letters picked without replacement from mtwlthlzm. 1/63 Calculate prob of picking 2 f and 1 b when three letters picked without replacement from bbbbbbfbbffbbbbjb. 39/680 Calculate prob of picking 1 o, 1 h, and 1 z when three letters picked without replacement from {h: 1, o: 1, j: 1, z: 1, x: 1}. 1/10 Two letters picked without replacement from aaakaaaaakak. Give prob of picking 2 a. 6/11 What is prob of picking 3 v and 1 u when four letters picked without replacement from xvvxvxxuu? 1/63 Three letters picked without replacement from arauaaiur. Give prob of picking 1 i and 2 r. 1/84 Two letters picked without replacement from tkvtyfvftfaftfvkavyf. Give prob of picking 1 k and 1 v. 4/95 What is prob of picking 4 m when four letters picked without replacement from {m: 5, h: 2}? 1/7 Two letters picked without replacement from tgttteeetttettgtettt. What is prob of picking 1 e and 1 g? 1/19 Two letters picked without replacement from {a: 4, t: 5, f: 2, q: 1, j: 4}. What is prob of picking 2 f? 1/120 Calculate prob of picking 2 o when two letters picked without replacement from {i: 4, j: 3, t: 1, o: 2, f: 4, s: 3}. 1/136 Four letters picked without replacement from abbubaadudyzbaba. What is prob of picking 2 b, 1 u, and 1 a? 5/91 Calculate prob of picking 1 p, 1 h, and 1 s when three letters picked without replacement from {s: 1, p: 3, h: 5}. 5/28 Two letters picked without replacement from bbbbbobobw. What is prob of picking 1 w and 1 b? 7/45 Four letters picked without replacement from {w: 2, m: 2, s: 4, i: 4, y: 2}. What is prob of picking 1 y, 1 w, and 2 m? 4/1001 Three letters picked without replacement from ebbb. Give prob of picking 2 e and 1 b. 0 Calculate prob of picking 1 f and 2 r when three letters picked without replacement from rfqqrrfr. 3/14 What is prob of picking 2 v when two letters picked without replacement from {m: 7, g: 3, v: 2}? 1/66 Calculate prob of picking 2 q and 2 d when four letters picked without replacement from {d: 2, a: 5, q: 12}. 11/646 Calculate prob of picking 1 r and 1 p when two letters picked without replacement from ddprw. 1/10 Three letters picked without replacement from doo. Give prob of picking 1 d and 2 o. 1 Two letters picked without replacement from yynynjjykyyy. What is prob of picking 2 n? 1/66 Calculate prob of picking 1 r, 1 c, and 1 l when three letters picked without replacement from {r: 1, l: 1, c: 1, j: 1, n: 3}. 1/35 Three letters picked without replacement from fxxxxxxfxfxx. Give prob of picking 3 f. 1/220 Four letters picked without replacement from {r: 13, y: 3}. What is prob of picking 1 r and 3 y? 1/140 Four letters picked without replacement from {y: 2, x: 3, w: 5, l: 1, f: 5}. What is prob of picking 1 l, 2 w, and 1 x? 3/182 Calculate prob of picking 1 m and 2 b when three letters picked without replacement from {b: 2, m: 8}. 1/15 Three letters picked without replacement from mzzmzzzmzgzmzzmzzzg. Give prob of picking 1 g and 2 m. 20/969 What is prob of picking 2 y when two letters picked without replacement from yyyh? 1/2 Four letters picked without replacement from rrrraaaara. Give prob of picking 4 a. 1/42 Four letters picked without replacement from bkeebebtkkber. Give prob of picking 1 k, 1 e, and 2 b. 72/715 Calculate prob of picking 2 u and 2 l when four letters picked without replacement from {l: 4, u: 7}. 21/55 Three letters picked without replacement from wwwwwwwhwwwh. What is prob of picking 3 w? 6/11 Four letters picked without replacement from {a: 1, f: 6, x: 1, m: 3, h: 4, o: 4}. Give prob of picking 1 a, 1 m, 1 h, and 1 x. 1/323 Two letters picked without replacement from jylyycu. What is prob of picking 1 l and 1 y? 1/7 Four letters picked without replacement from txxxtt. Give prob of picking 1 t and 3 x. 1/5 What is prob of picking 2 e and 1 j when three letters picked without replacement from ejejjjjjjj? 1/15 Three letters picked w
{ "pile_set_name": "DM Mathematics" }
to 6 decimal places. -0.000667 What is 0.30783 rounded to one dp? 0.3 What is -0.562 rounded to 2 dps? -0.56 Round -823750 to the nearest 10000. -820000 Round 347.49 to the nearest 10. 350 Round -131.886 to the nearest 10. -130 Round -1198230 to the nearest 10000. -1200000 What is -0.13556 rounded to three dps? -0.136 Round -0.0002661 to 5 decimal places. -0.00027 What is 0.0006394 rounded to five decimal places? 0.00064 What is -1190.53 rounded to the nearest 10? -1190 Round 1081 to the nearest ten. 1080 Round 11590 to the nearest one thousand. 12000 What is 63260 rounded to the nearest ten thousand? 60000 What is -294.1 rounded to the nearest one hundred? -300 What is -0.000060929 rounded to six dps? -0.000061 What is 5786000 rounded to the nearest ten thousand? 5790000 Round 0.000052255 to seven dps. 0.0000523 What is 4995 rounded to the nearest 1000? 5000 What is -0.018027 rounded to three decimal places? -0.018 What is 3124 rounded to the nearest 100? 3100 What is 0.00008733 rounded to five decimal places? 0.00009 What is 0.00104978 rounded to 4 dps? 0.001 What is 1147.38 rounded to the nearest 10? 1150 What is 8662.4 rounded to the nearest 100? 8700 Round -17530 to the nearest one thousand. -18000 What is -0.2489 rounded to 2 decimal places? -0.25 What is 0.0097624 rounded to 2 dps? 0.01 Round -23437000 to the nearest 1000000. -23000000 Round -18772.8 to the nearest 1000. -19000 Round 2800000 to the nearest one million. 3000000 What is -209.96 rounded to the nearest 10? -210 What is -0.0357 rounded to 2 decimal places? -0.04 Round -0.01151 to three decimal places. -0.012 Round -27020000 to the nearest one million. -27000000 What is -0.0000016469 rounded to seven dps? -0.0000016 What is -17048 rounded to the nearest 1000? -17000 Round -0.00548 to 4 decimal places. -0.0055 What is -0.000029608 rounded to six dps? -0.00003 What is 0.00038563 rounded to six dps? 0.000386 Round 0.2113 to 1 dp. 0.2 Round 330680 to the nearest one thousand. 331000 What is 313600 rounded to the nearest 100000? 300000 What is 0.00005673 rounded to five decimal places? 0.00006 Round 725430 to the nearest 100000. 700000 Round 744 to the nearest ten. 740 Round -0.8829 to two decimal places. -0.88 Round 0.0000834 to 6 decimal places. 0.000083 What is -0.0000001593 rounded to 7 decimal places? -0.0000002 What is -123540000 rounded to the nearest 1000000? -124000000 What is -208.3 rounded to the nearest integer? -208 What is 0.000326 rounded to 5 dps? 0.00033 Round 113250000 to the nearest 1000000. 113000000 What is 0.0041223 rounded to 4 decimal places? 0.0041 Round 2644.3 to the nearest one hundred. 2600 Round -56192 to the nearest one thousand. -56000 Round -1.81 to 0 decimal places. -2 Round 5697.4 to the nearest 100. 5700 What is -135530 rounded to the nearest one thousand? -136000 Round -0.000003328 to 7 decimal places. -0.0000033 What is 5016000 rounded to the nearest 100000? 5000000 What is -0.0014082 rounded to five dps? -0.00141 What is 406.79 rounded to the nearest 10? 410 What is 6470000 rounded to the nearest one million? 6000000 Round -0.00004013 to 6 dps. -0.00004 Round -0.7145 to two dps. -0.71 What is 0.02523 rounded to 2 decimal places? 0.03 Round 0.00004699 to 6 decimal places. 0.000047 What is 25770 rounded to the nearest ten thousand? 30000 What is -26957 rounded to the nearest 1000? -27000 Round -0.00043205 to six decimal places. -0.000432 Round -3185000 to the nearest 100000. -3200000 Round 0.000953 to 4 dps. 0.001 Round 9.2 to the nearest integer. 9 Round -144.968 to zero decimal places. -145 What is 0.09384 rounded to 3 dps? 0.094 What is 0.000989 rounded to 4 decimal places? 0.001 What is -13026900 rounded to the nearest ten thousand? -13030000 What is -7333 rounded to the nearest one thousand? -7000 Round -0.00016923 to 6 dps. -0.000169 Round 16090 to the nearest one thousand. 16000 Round 695600 to the nearest ten thousand. 700000 Round -0.00874 to three decimal places. -0.009 Round 0.012921 to four dps. 0.0129 What is -372470 rounded to the nearest ten thousand? -370000 Round -290970 to the nearest one thousand. -291000 Round 0.06524 to three decimal places. 0.065 What is -490830000 rounded to the nearest 1000000? -491000000 Round 372.8 to the nearest 10. 370 Round 113.955 to the nearest 10. 110 Round 0.0134841 to 4 dps. 0.0135 Round -175.3 to the nearest ten. -180 What is 2230000 rounded to the nearest one hundred thousand? 2200000 What is 12.53 rounded to 1 decimal place? 12.5 Round -0.00027923 to four decimal places. -0.0003 What is 2416200 rounded to the nearest 10000? 2420000 Round -0.0000008068 to 7 dps. -0.0000008 What is 0.000157 rounded to 5 decimal places? 0.00016 What is -630.11 rounded to the nearest one hundred? -600 What is 0.0000057616 rounded to six dps? 0.000006 What is 6634500 rounded to the nearest one million? 7000000 What is -28.28 rounded to zero decimal places? -28 What is -2230000 rounded to the nearest ten thousand? -2230000 Round 84290 to the nearest one thousand. 84000 Round -0.000003966 to six decimal places. -0.000004 What is 15170000 rounded to the nearest 1000000? 15000000 Round 0.0000754 to 5 decimal places. 0.00008 Round -0.000316 to 4 decimal places. -0.0003 Round 23720 to the nearest 10000. 20000 Round 0.01606 to 3 decimal places. 0.016 Round -721.1 to the nearest one hundred. -700 What is 69005 rounded to the nearest 1000? 69000 What is -1821700 rounded to the nearest one million? -2000000 Round -90420000 to the nearest 1000000. -90000000 What is 0.0000009917 rounded to seven dps? 0.000001 What is 0.0006655 rounded to 4 decimal places? 0.0007 Round -1801.1 to the nearest ten. -1800 What is -297.7 rounded to the nearest ten? -300 What is -19837 rounded to the nearest one hundred? -19800 What is 836400 rounded to the nearest one hundred thousand? 800000 Round 0.00023602 to five decimal places. 0.00024 Round 837000 to the nearest one hundred thousand. 800000 What is 21090000 rounded to the nearest 100000? 21100000 Round -5.958 to the nearest integer. -6 What is 70530000 rounded to the nearest one million? 71000000 Round 0.00006508 to 6 decimal places. 0.000065 Round 1206 to the nearest 100. 1200 What is -61.4 rounded to the nearest 10? -60 What is -12870000 rounded to the nearest one million? -13000000 What is -152400 rounded to the nearest one hundred thousand? -200000 Round 1.80394 to 3 dps. 1.804 What is -0.0000202 rounded to six dps? -0.00002 Round 37560 to the nearest ten thousand. 40000 Round 11318.2 to the nearest 10. 11320 What is -0.0209056 rounded to three decimal places? -0.021 Round -1.1603 to two decimal places. -1.16 Round 0.0000092732 to six decimal places. 0.000009 What is -0.72325 rounded to two dps? -0.72 Round -3445300 to the nearest ten thousand. -3450000 Round 7008 to the nearest one thousand. 7000 What is -12.534 rounded to 1 dp? -12.5 What is -1732900 rounded to the nearest 1000000? -2000000 Round -0.0001004 to six decimal places. -0.0001 What is -8390000 rounded to the nearest 1000000? -8000000 What is -1900 rounded to the nearest 10000? 0 What is -0.113399 rounded to two dps? -0.11 What is 6253000 rounded to the nearest 1000000? 6000000 Round -733890 to the nearest one hundred thousand. -700000 Round 729800 to the nearest one hundred thousand. 700000 Round 0.01444 to three decimal places. 0.014 Round -7701000 to the nearest one hundred thousand. -7700000 What is -0.00009326 rounded to 4 dps? -0.0001 Round 1207900 to the nearest 100000. 1200000 What is 0.000002332 rounded to 7 decimal places? 0.0000023 Round -1172 to the nearest 100. -1200 What is -0.79634 rounded to 3 decimal places? -0.796 What is 0.0000571 rounded to six decimal places? 0.000057 What is 0.00005669 rounded to five dps? 0.00006 Round 0.0037582 to four decimal places. 0.0038 Round 0.00041628 to 6 dps. 0.000416 What is 0.61347 rounded to 1 dp? 0.6 What is 9668.3 rounded to the nearest one thousand? 10000 Round -895460 to the nearest one hundred thousand. -900000 Round 11340 to the nearest one thousand. 11000 Round 0.0000199 to six decimal places. 0.00002 What is -24600 rounded to the nearest ten thousand? -20000 What is -5129000 rounded to the nearest 100000? -5100000 Round 21090 to the nearest 10000. 20000 What is
{ "pile_set_name": "DM Mathematics" }
atest common divisor of 539 and c. 77 Let y be 14/((-7)/(21/(-6))). Suppose y*g = 10*g. Suppose d - 3*d + 2 = g. Calculate the greatest common divisor of 1 and d. 1 Let y be 1325/20 - (6 - 62/8). Calculate the greatest common divisor of y and 510. 34 Let x(w) = 4*w**2 - w. Let a be x(-2). Let y = 7 + 21. Let i = y - a. Calculate the greatest common factor of i and 20. 10 Let l = -471 - -563. Calculate the highest common factor of l and 483. 23 Suppose d - 5*d - 32 = 0. Let o be 9*(d/(-12) - -2). Calculate the greatest common factor of o and 3. 3 Let y be 52/14 + 4/14. Let x = -372 + 373. Calculate the highest common factor of x and y. 1 Suppose -3*y - y = -440. Let f(u) = 3*u - 5. Let h = 17 + -12. Let w be f(h). What is the highest common divisor of w and y? 10 Let b be (-94)/(2/(5 + (-12 - -5))). What is the greatest common divisor of 2 and b? 2 Let m = -2 - -9. Suppose 2*j = -3*i + 14, 4*i = -3*j - 0*j + 19. What is the greatest common factor of j and m? 1 Let u be 20/8 + 1/(-2). Suppose -k = -u*i + i - 9, 3*k = -4*i + 48. Calculate the highest common factor of 96 and k. 12 Let s be 8 + -5 - (-1 - 9). Let t = -10 + s. Let z be 26 - (t - -1)/(-4). Calculate the greatest common factor of z and 9. 9 Suppose 7 = 4*d - 5. Suppose 18 - d = b. Suppose 0 = 65*w - 26*w - 195. Calculate the highest common divisor of b and w. 5 Let x = 941 + -866. Calculate the highest common divisor of x and 45. 15 Let c(d) = -550*d + 26. Let o be c(-1). What is the highest common factor of 12 and o? 12 Suppose 3*r - 23 - 8 = 4*g, 21 = r + 4*g. What is the highest common factor of r and 1742? 13 Let i = -303 + 875. Calculate the highest common divisor of i and 11. 11 Let y be (0 + 14)*(-174)/(-7). Suppose 4*a = 4*v - y, -a + 639 = 5*v + 198. Let n be -33*3*(-4)/36. Calculate the highest common divisor of n and v. 11 Let k = 124 + 191. Calculate the highest common divisor of k and 15. 15 Let o be -2 - -1 - (-2 - 6). Suppose 2 = -p + 4. Suppose 4*u - p*f = -0*u + 10, 3*u = -5*f - 12. Calculate the highest common divisor of o and u. 1 Let q be (-18)/42 - 284/7. Let r be (q + 2)*6/9. Let u = r + 43. Calculate the highest common factor of 119 and u. 17 Let b be (-2093)/(-78) + 15/(-18). Calculate the greatest common divisor of b and 91. 13 Suppose 3 = 3*g, -24*a + 22*a + g = -7. Let o = -32 + 68. Calculate the highest common divisor of a and o. 4 Let u be 6/(4/(-3504)*-8). Calculate the greatest common divisor of u and 9. 9 Suppose 4*f - 21 = f. Suppose -7 = -j - 3. Suppose 4*w = -j*q + 264, 2*q = -3*q + 3*w + 306. Calculate the greatest common divisor of q and f. 7 Let v be ((-3)/(-1)*3)/1. Let z be ((-5)/(-3))/(1/v). Let d be z + (-1 + -1 - -2). Calculate the highest common divisor of d and 75. 15 Let j(x) = x**3 + 4*x**2 + x + 2. Let m be j(-3). Let i be (3 - -16) + 1*(-1 + 0). Suppose 128 = 22*w - i*w. What is the greatest common factor of w and m? 8 Suppose 61 - 141 = -8*k. What is the highest common factor of k and 25? 5 Let s = 0 + 11. Suppose 0*k + s = 4*w - k, 0 = k + 3. What is the greatest common divisor of w and 10? 2 Let u(j) = -j**3 + 9*j**2 + 9*j + 16. Let m be u(10). Suppose m*g = g + t + 27, 0 = g - 5*t + 9. Calculate the greatest common factor of 30 and g. 6 Let v = -40 + 50. Suppose m - 36 = -3*m + 4*b, -v = 2*b. What is the greatest common divisor of 28 and m? 4 Suppose -2*o - o + 35 = -4*v, 5 = -3*o - 4*v. Suppose o*m = y + 4 + 3, -15 = -3*y + 3*m. Calculate the greatest common divisor of 8 and y. 8 Let w(c) = c**2 - 26*c - 105. Let g be w(30). What is the greatest common divisor of 150 and g? 15 Suppose -25 = -2*c - 1. Calculate the highest common divisor of c and 48. 12 Suppose 0 = -2*k - 5*b + 49, -b - 35 = -5*k + 4*k. Let p(n) = 6*n - 12. Let m be p(5). Suppose -m = -5*v + k. What is the highest common factor of 25 and v? 5 Suppose 0 = 3*c + 2*c, g - 4*c - 13 = 0. Let f = 5 + g. Suppose 0*j - j = -3*o - 30, 0 = 2*j + o - 32. What is the greatest common divisor of f and j? 18 Suppose -3*k - 57 = 2*f - 160, -f + 54 = k. Suppose 2*w = 3*n - f, 3*n - 6*w - 62 = -w. Suppose d - n - 37 = 0. Calculate the highest common divisor of d and 8. 8 Suppose 0*s + s - 4 = 0. Suppose s*c - 3*c - 17 = 4*m, -3*m - 12 = 0. What is the highest common divisor of 7 and c? 1 Suppose -31 = 4*n - 7*n - 5*g, 5*n - 35 = -5*g. Let j = 30 + -16. What is the greatest common factor of j and n? 2 Let c = 18 + -3. Suppose 5*j - 249 = -4*r, -7*j + 2*j + 241 = -4*r. Let q = j - c. Calculate the highest common divisor of q and 17. 17 Let k(p) be the third derivative of 0*p + 1/24*p**4 + 0 - 1/120*p**6 + 7*p**2 + p**3 - 1/60*p**5. Let y be k(0). What is the highest common divisor of 24 and y? 6 Suppose 8 = -p + 4*p + 5*v, -2*p + 5*v = -22. Suppose -2*t = 2*g + 16, 6 = -g + 2*t - 8. Let n be 170/4 + 5/g. Calculate the greatest common factor of n and p. 6 Suppose -4*m - 2*j + 26 = m, 0 = 3*m - 3*j - 24. Let i = 42 - 42. Suppose -4*q = -8, i = 5*l - 4*q + 2*q - 326. What is the highest common factor of m and l? 6 Suppose -154*r = -2384 - 3314. Suppose 586 + 339 = 5*b - s, 4*b - 740 = 2*s. Calculate the highest common factor of r and b. 37 Let g be -32*(2 + -2 + (-9)/6). Suppose 2*c - 20 = 12. What is the greatest common divisor of g and c? 16 Let u be (10 - 9)/(1/34). Let i = 42 - u. Calculate the greatest common divisor of i and 8. 8 Let i be 20 - 25 - -2*202. What is the greatest common factor of i and 38? 19 Suppose -2*k + 17 = 3*z - 6*k, -k - 29 = -3*z. What is the highest common factor of 7 and z? 1 Let b = -461 - -462. What is the greatest common factor of 7 and b? 1 Let v(l) = 3*l**2 + 8*l + 4. Let c(n) = -n + 23. Let i be c(13). Let z = i - 15. Let d be v(z). Calculate the highest common divisor of d and 26. 13 Let g(j) = -4*j**2 + 217*j + 34. Let l be g(54). Let c be (88/(-6))/((-2)/18). Calculate the highest common factor of l and c. 44 Let w(a) be the third derivative of a**5/30 + a**4/3 - 7*a**3/6 + 16*a**2. Let i be w(-6). What is the greatest common factor of 153 and i? 17 Suppose -4*a - 133 = -5*l, -6*a + 73 = 2*l - a. Let q = -17 + l. Suppose -48 - 156 = -4*h - 3*v, 0 = 3*v - q. Calculate the highest common factor of 16 and h. 16 Suppose 4*p + 0*t = -t + 161, 3*t + 117 = 3*p. Suppose 37*i - 24*i = 208. What is the highest common divisor of i and p? 8 Suppose -t - 5*m + 208 = 0, t - 12*m - 188 = -7*m. What is the highest common divisor of t and 176? 22 Let s be (-21)/12 + 1/(-4) - 9. Let l = s + 18. Suppose 2*o - 126 = -o. Calculate the highest common factor of l and o. 7 Let x(k) = 62*k + 69. Let i be x(-1). What is the greatest common divisor of 427 and i? 7 Suppose 87*g - 81*g = 552. What is the greatest common factor of 874 and g? 46 Let k = -71 - -93. Let i be 3840/55 - (-4)/k. Let d be 32/(-2)*-1 - 2. What is the highest common factor of d and i? 14 Let i = 130 + -91. Let u be -20 + -18 + 6 + 6. Let x = u + i. What is the greatest common divisor of 143 and x? 13 Let r(f) = -13*f - 2. Let l be r(4). Suppose c + 15 = 99. Let v = l + c. What is the highest common divisor of v and 6? 6 Suppose -5 = 2*g - 3*g. Suppose -5*p + o + 242 = g*o, 5*p = 4*o + 218. Suppose -3*w + 11 = -p. What is the highest common factor of 19 and w? 19 Let f be 15 - (-6 - -3)*1. Suppose 5*j - 2 - f = 0. Suppose j*u = -10 + 18. What is the highest common factor of 8 and u? 2 Suppose 0 = -5*c - 4*f + 35, -c = 3*f - 5*f + 7. Let u be 1199/4 - c/(-12). Calculate the highest common factor of 30 and u. 30 Suppose 6*s - 2*s - 900 = 0. Calculate the greatest common divisor of s and 180. 45 Let w(a) = 11*a + 103. Let s be w(27). What is the greatest common factor of s and 25? 25 Let r be ((-285)/(-20))/(9/24). Let y = r - 37. What is the greatest common divisor of 5 and y? 1 Let f(a) = 5*a + 323. Let o be f(-50). What is the highest common divisor of 438 and o? 73 Suppose 3318 = 120*j - 41*j. What is the greatest common factor of 168 and j? 42 Suppose 12*i = 2*i + 560. Calculate the greatest common divisor of i and 14. 14 Suppose -3*y - 6 = -4*y. Let h = 21 - y. Let z be (0 - -35)*((-1248)/112 - -12). Calculate the greatest common factor of h and z. 15 Suppose -796 + 280 = -4*b. Calculate the greatest common divisor of b and 344. 43 Let z(y) = 6*y + 486. Let s be z(67). What is the highest common fa
{ "pile_set_name": "DM Mathematics" }
of 331552335? 3 What is the hundred thousands digit of 210142078? 1 What is the hundred thousands digit of 61538086? 5 What is the thousands digit of 47624340? 4 What is the millions digit of 583360470? 3 What is the ten thousands digit of 127491750? 9 What is the ten thousands digit of 65162284? 6 What is the ten thousands digit of 89743652? 4 What is the hundred thousands digit of 86087744? 0 What is the thousands digit of 12871581? 1 What is the hundred thousands digit of 495469533? 4 What is the units digit of 239348491? 1 What is the hundreds digit of 918181755? 7 What is the ten millions digit of 131116068? 3 What is the thousands digit of 6021665747? 5 What is the ten millions digit of 138809316? 3 What is the ten thousands digit of 119729694? 2 What is the units digit of 188811651? 1 What is the units digit of 2795921178? 8 What is the units digit of 570291350? 0 What is the hundreds digit of 412047339? 3 What is the ten millions digit of 64594033? 6 What is the hundreds digit of 181667413? 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4 What is the thousands digit of 141182434? 2 What is the
{ "pile_set_name": "DM Mathematics" }
24313. Let t(f) = -412*f. What is t(w(d))? -824*d**2 - 10016956 Suppose -2*k - 6 - 2 = -w, 0 = w - 3*k - 11. Let v(b) = b**2 + 7*b**w - 6*b**2. Let f(u) = -6 - 5 + 0 + 11*u + 11. Calculate v(f(g)). 242*g**2 Let m(k) = 171*k. Let y(o) = -1158*o - 3 + 2273*o + 3 - 1148*o. Calculate y(m(a)). -5643*a Let l(a) = 267680538*a**2. Let i(y) = -5*y. Calculate i(l(n)). -1338402690*n**2 Let s(f) = -166711527*f. Let a(u) = -u. Give a(s(w)). 166711527*w Let j(o) = -793*o**2 - o - 1. Let m(b) = -62*b. What is j(m(t))? -3048292*t**2 + 62*t - 1 Let g(t) = 1182*t. Let m(u) = -10156*u**2. Give g(m(j)). -12004392*j**2 Let m(s) = -9642951*s**2. Let r(k) = 2*k. Determine r(m(b)). -19285902*b**2 Let a(j) = 89*j - 17. Let i(k) = 11*k - 2. Let t(q) = 6*a(q) - 51*i(q). Let u(s) be the first derivative of -s**3 - 327. Calculate u(t(w)). -2187*w**2 Let m(u) = 2*u**2. Let n(g) = 99912008*g. Give n(m(x)). 199824016*x**2 Let k(a) = 7 + 2*a**2 - 9*a**2 + 4*a**2. Let w(t) = -18*t**2 + 13*t - 78. Let p(b) = 14*b**2 - 10*b + 60. Let m(y) = 13*p(y) + 10*w(y). What is m(k(q))? 18*q**4 - 84*q**2 + 98 Let d(w) = -w - 43776. Let v(g) = 2*g + 9. Calculate v(d(q)). -2*q - 87543 Let s(h) = 858047*h**2. Let i(p) = -4*p. Calculate i(s(d)). -3432188*d**2 Let a(x) = -10*x**2. Let l(h) be the first derivative of -h**4/12 - 180*h - 26. Let y(n) be the first derivative of l(n). What is y(a(v))? -100*v**4 Let c(j) = -3805*j - 14. Let i(f) = 311*f. Calculate i(c(x)). -1183355*x - 4354 Let b(u) = 598*u**2. Let p(o) = 31*o - 41*o + 9*o - 2 + 2. Determine p(b(i)). -598*i**2 Let d be ((-1)/(-2))/(6/(-12)). Let n(s) = 1. Let x(b) = b**2 + 5. Let a(u) = d*x(u) + 5*n(u). Let i(z) = -3*z**2 - 30*z. Calculate i(a(o)). -3*o**4 + 30*o**2 Let w(q) = 41*q**2. Let i(k) = -639*k - 6. What is i(w(c))? -26199*c**2 - 6 Let f(r) = -5*r**2. Let c(o) = -1 + 77628*o**2 + 1 - 77756*o**2. Calculate c(f(j)). -3200*j**4 Let b(o) = 21*o + 4. Let y(v) = -43*v - 9. Let z(m) = -9*b(m) - 4*y(m). Let a(p) = 59*p + 21. Let s(j) = 64*j + 24. Let g(n) = -8*a(n) + 7*s(n). Give z(g(h)). 408*h Let l(v) = 53*v**2 - 7*v. Let y(n) be the second derivative of n**3/6 - 1123*n. What is y(l(q))? 53*q**2 - 7*q Let c(k) be the second derivative of -26*k**3/3 - 15*k + 144. Let d(m) = -40*m. Determine d(c(r)). 2080*r Let p(o) = -4*o**2 - 6*o. Let j(d) be the first derivative of -d**4/3 - 58*d - 31. Let u(k) be the first derivative of j(k). Determine p(u(z)). -64*z**4 + 24*z**2 Let m(c) = -19*c. Let u(z) = 4*z + 113. Let g be u(-28). Let n(y) = 2*y**2 + 12*y. Let s(v) = -v**2 - v. Let a(b) = g*n(b) + 12*s(b). Calculate a(m(w)). -3610*w**2 Let a(y) = -y. Let l(r) = 40 - 15*r + 39 - 79. Let m(b) = -30*b. Let o(v) = 7*l(v) - 4*m(v). Determine a(o(x)). -15*x Let v(z) = 9*z. Let f(p) = -4*p. Let k(x) = -43*x. Let t = -30 - -26. Let r(h) = t*k(h) + 44*f(h). Calculate r(v(y)). -36*y Let g(y) = 510 - 129 - 129 - y - 125 - 127. Let l(c) = 3*c - 8. Let r(w) = w**2 - w + 1. Let z(j) = -l(j) - 3*r(j). What is g(z(d))? 3*d**2 - 5 Let w be 5/(-20) - 1754/(-8). Let r(b) = -17*b - 100*b**2 - 117*b**2 + w*b**2. Let y(v) = v**2. Give y(r(d)). 4*d**4 - 68*d**3 + 289*d**2 Let x(a) = a**3 - 12*a**2 + 14*a + 7. Let b be x(10). Let c = b - -153. Let q(k) = -c + 49 + 51 - 2*k. Let l(o) = -7*o. Calculate q(l(n)). 14*n Let w(d) = 3*d**2 - 1216809. Let f(o) = 2*o**2. Calculate w(f(u)). 12*u**4 - 1216809 Suppose 3*r - 1024 - 2 = 0. Let v(d) be the first derivative of 40 - 341*d**2 - r*d**2 + 685*d**2. Let c(t) = -8*t**2. Calculate v(c(x)). -32*x**2 Let d(x) = -45136*x. Let w(y) = 31*y**2. What is w(d(u))? 63155013376*u**2 Let a(j) be the second derivative of j**3/3 + 3456*j. Let h(s) = -s**2 - 12*s. Give h(a(o)). -4*o**2 - 24*o Let s(d) = -6550*d**2 - 175. Let w(j) = -j. Calculate w(s(t)). 6550*t**2 + 175 Let b(d) = -2*d**2. Let w = 32 + -26. Let a be (w/15)/(1/95). Let x(o) = a*o**2 + 1492 - 1492. What is x(b(u))? 152*u**4 Let m(k) = -2*k**2. Let p(g) = -4*g**2 + 5*g - 5. Suppose 2*s - 1 = -11. Let b(a) = 6*a**2 + a + 6 - 7*a - a**2. Let y(h) = s*b(h) - 6*p(h). Give m(y(w)). -2*w**4 Let m(f) = -11*f**2 + 7*f + 7. Let x(q) = -6*q**2 + 4*q + 4. Let v be ((-2)/2*-6)/(12/8). Let h(a) = v*m(a) - 7*x(a). Let s(w) = w**2 - 32*w. Give s(h(t)). 4*t**4 + 64*t**2 Let t(p) = 2*p. Let l(n) = -31*n**2 - 36*n - 34. Let u(i) = 64*i**2 + 73*i + 74. Let x(f) = -13*l(f) - 6*u(f). What is x(t(c))? 76*c**2 + 60*c - 2 Let d(x) = -18496*x. Let u(w) = 499*w**2. Give u(d(s)). 170708905984*s**2 Let i(y) = 20*y + 34. Let z(d) = -7*d**2 + 362*d - 2. Determine i(z(v)). -140*v**2 + 7240*v - 6 Let d(k) = 11*k**2. Let l = 12609 - -14457. Let t(x) = -4*x**2 + 27066*x - l*x. Determine t(d(z)). -484*z**4 Let q(u) = -2*u**2. Let t(h) = 6327*h - 8. Let p(v) = 50103515*v - 63350. Let b(w) = 4*p(w) - 31675*t(w). Determine q(b(y)). -80264450*y**2 Let s(r) = -41602*r**2. Let c(x) = -9621*x. What is c(s(d))? 400252842*d**2 Let d(c) = c**2. Let f(u) = -16*u**2 - 4*u + 4. Let v = 379 + -374. Let m(p) = -31*p**2 - 10*p + 9. Let k(t) = v*f(t) - 2*m(t). What is d(k(r))? 324*r**4 - 72*r**2 + 4 Let z(h) = -5*h**2. Let v(r) = -3941119*r**2. What is z(v(i))? -77662094860805*i**4 Let f(p) = 197*p. Let u(w) = -15070*w + 25*w**2 + 15070*w. What is f(u(r))? 4925*r**2 Let s(l) = 35*l**2 + 1. Let a(y) = -5*y. Let u(f) = -f. Let k(n) = 7*n + 34. Let r be k(-8). Let z(m) = r*u(m) + 4*a(m). Determine z(s(j)). 70*j**2 + 2 Suppose -2*a = c - 25, 0 = -a - 18*c + 22*c + 26. Let x(t) = -117 - 112 + 345 - 116 + a*t**2. Let u(m) = 5*m. Calculate u(x(s)). 70*s**2 Let d(k) = 0*k**2 - 2*k**2 + 293*k - 293*k + 0*k. Let j(r) = -1393*r. Calculate j(d(g)). 2786*g**2 Let g be (-6)/51 + 4/(-17)*-9. Let j(m) = -m**g - 15253*m + 15253*m. Let r(s) = 38*s**2 - s. Calculate j(r(p)). -1444*p**4 + 76*p**3 - p**2 Let k(d) = 4*d - 439 + 851 - 412. Let p(j) = 86*j. Calculate p(k(y)). 344*y Let y(m) = -3*m**2. Let i(j) be the first derivative of j**2 + 168*j - 613. Calculate y(i(k)). -12*k**2 - 2016*k - 84672 Let j(y) be the third derivative of 3*y**5/10 - 2*y**2 + 336*y + 2. Let h(d) be the second derivative of d**4 + d. Determine h(j(m)). 3888*m**4 Let y(p) = -1822 - 1810 + 3630 + 11*p. Let r(x) be the first derivative of -x**2/2 + 1. Give y(r(m)). -11*m - 2 Let u(c) = -177*c**2. Let l(w) be the third derivative of 7*w**5/15 - 27*w**2 - 1. What is u(l(z))? -138768*z**4 Let b(s) = s**2. Let r(h) = 743272*h - 581. Calculate r(b(y)). 743272*y**2 - 581 Let h(u) be the first derivative of -2*u**3 + 813. Let w(p) = 97*p. Calculate h(w(v)). -56454*v**2 Let x(q) = -190426*q**2. Let y(a) = -3*a**2 - 13. Determine y(x(w)). -108786184428*w**4 - 13 Let b(w) = -2*w**2. Suppose -6*f - 36 = -5*f. Let i be 14/35 + f/(-10). Let k(m) = -m**2 - 2*m**2 - i*m**2 + 2*m**2. Calculate b(k(r)). -50*r**4 Let o(a) = -a + 6*a + 7*a. Let j(i) be the third derivative of 0*i**3 + 6 + 5*i**2 + 0*i + 1/12*i**4. What is o(j(u))? 24*u Let u(g) = 14*g**2 - 3*g. Let i(j) be the third derivative of j**4/4 - 792*j**2. What is i(u(r))? 84*r**2 - 18*r Let s(v) = -9*v**2 + 2*v + 2. Let i(y) be the first derivative of -3/2*y**2 - 3*y + 3*y**3 + 2. Let z(l) = -2*i(l) - 3*s(l). Let d(u) = -4*u. Give d(z(f)). -36*f**2 Let q(p) = 4*p + p - 6*p + 3. Let n(g) = 7*g - 14. Let k(y) = 2*y - 7. Let d(h) = -2*k(h) + n(h). Calculate q(d(w)). -3*w + 3 Let z(v) = v**2. Let n(c) = 39162*c**2 + 856. Let h(j) = -229*j**2 - 5. Let q(o) = 856*h(o) + 5*n(o). Determine q(z(p)). -214*p**4 Let j(h) = 2*h**2. Let b(x) = 2081986869*x. What is j(b(d))? 8669338645376846322*d**2 Let v(k) = 15*k + 701. Let z(w) = -3618*w**2. Give v(z(i)). -54270*i**2 + 701 Let i(v) = 522*v - 21. Let d(w) = -448*w**2. Give i(d(t)). -233856*t**2 - 21 Let m(f) = 16*f**2. Let x(l) = 17*l**2 + 27*l - 9. Let u = 97 - 106. Let d(r) = 9*r**2 + 12*r - 4. Let y(a) = u*d(a) + 4*x(a). What is y(m(w))? -3328*w**4 Let w(s) = -30*s. Let t(g) = 3*g - 49. Suppose -5*k - 119 = -12*k. Let j be t(k). Let m(h) = -3*h + j + h - 2. What is w(m(a))? 60*a Let k(q) = q. Let i(l) be the second derivative of -1796*l**3/3 - 28*l + 8. What is i(k(g))? -3592*g Let s(r) = -6 + 650*r - 328*r - 3 - 327*r + 7. Let z(n) = -194*n. Determine z(s(t)). 970*t + 388 Suppose 3*m - 2 = -b, 7*b - 3*m - 6 = 4*b. Let h(f) = f**b + 2784 - 2784. Let u(w) = 12*w + 30. Let k(i) = -1.
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of 897 and 11076? 39 What is the highest common divisor of 7271 and 558545? 661 Calculate the greatest common divisor of 96569 and 33. 11 What is the highest common divisor of 150922 and 295? 59 What is the greatest common factor of 1155658 and 2331? 259 What is the highest common factor of 11 and 4169? 11 Calculate the greatest common divisor of 1763 and 2236. 43 Calculate the highest common factor of 11319 and 155379. 1029 Calculate the highest common factor of 14 and 27958. 14 Calculate the highest common divisor of 87320 and 1475. 295 What is the greatest common factor of 11774 and 56? 14 What is the greatest common divisor of 1897620 and 12? 12 Calculate the highest common factor of 320 and 6360. 40 What is the greatest common divisor of 498 and 39425? 83 Calculate the highest common factor of 224 and 5894. 14 What is the highest common divisor of 429 and 444147? 33 Calculate the greatest common factor of 26 and 742846. 26 What is the greatest common divisor of 5 and 351245? 5 Calculate the greatest common divisor of 135 and 176634. 27 Calculate the greatest common factor of 70641 and 42723. 423 What is the highest common factor of 83543 and 19? 19 What is the highest common factor of 535 and 173447? 107 What is the greatest common divisor of 12375 and 1122825? 825 What is the highest common divisor of 245996 and 21716? 356 What is the highest common divisor of 405 and 36870? 15 Calculate the greatest common divisor of 489741 and 14. 7 Calculate the highest common factor of 25558 and 26. 26 Calculate the greatest common factor of 57677 and 1263. 421 What is the greatest common divisor of 60 and 22230? 30 What is the highest common factor of 5355 and 1380960? 315 What is the greatest common factor of 145071 and 8019? 729 Calculate the highest common factor of 6802 and 494. 38 Calculate the highest common divisor of 5436 and 144. 36 Calculate the highest common divisor of 357828 and 12. 12 What is the highest common divisor of 11292 and 30? 6 What is the highest common factor of 370 and 226255? 185 Calculate the greatest common divisor of 129519 and 492. 123 Calculate the highest common divisor of 7746 and 306. 6 Calculate the greatest common factor of 25256 and 26488. 616 What is the highest common factor of 24793 and 2? 1 What is the greatest common divisor of 612656 and 44? 44 Calculate the greatest common divisor of 11092 and 3196. 188 What is the greatest common divisor of 179952 and 368? 368 What is the greatest common divisor of 729 and 3879? 9 Calculate the greatest common divisor of 20 and 9665. 5 What is the greatest common factor of 775 and 62341? 31 Calculate the greatest common factor of 28188 and 3364. 116 Calculate the highest common factor of 2032 and 16. 16 Calculate the highest common factor of 234 and 48282. 78 Calculate the greatest common factor of 131882 and 1472. 46 Calculate the highest common divisor of 455 and 11235. 35 What is the highest common factor of 544 and 2152? 8 Calculate the highest common divisor of 11960 and 33280. 520 What is the greatest common divisor of 39 and 271479? 39 Calculate the highest common factor of 949 and 16055. 13 Calculate the highest common divisor of 9990 and 2610. 90 What is the greatest common factor of 455 and 5590? 65 Calculate the greatest common factor of 20 and 75820. 20 Calculate the greatest common divisor of 1826136 and 288. 72 Calculate the greatest common divisor of 300 and 10524. 12 Calculate the highest common factor of 158500 and 250. 250 What is the highest common divisor of 280 and 12770? 10 What is the greatest common factor of 804 and 1625889? 201 What is the highest common divisor of 35715 and 15? 15 Calculate the highest common factor of 9920 and 571640. 1240 What is the highest common factor of 6438 and 3741? 87 Calculate the greatest common divisor of 77 and 1859. 11 What is the highest common factor of 36801 and 3? 3 Calculate the highest common factor of 2 and 31589. 1 Calculate the highest common divisor of 10125 and 93000. 375 Calculate the greatest common divisor of 221408 and 704. 352 What is the greatest common factor of 17782 and 68? 34 Calculate the greatest common divisor of 1703 and 1048. 131 Calculate the greatest common divisor of 31717 and 18354. 161 What is the highest common factor of 2013 and 781? 11 What is the highest common factor of 2835805 and 35? 35 Calculate the greatest common factor of 429 and 33. 33 What is the greatest common divisor of 29012 and 112? 4 What is the greatest common divisor of 1160 and 2056? 8 What is the highest common divisor of 2923 and 4345? 79 What is the greatest common factor of 73497 and 6? 3 What is the highest common factor of 1413430 and 843? 281 What is the greatest common factor of 448 and 54952? 8 What is the greatest common factor of 13839 and 6888? 21 Calculate the greatest common factor of 10222 and 271690. 538 What is the highest common divisor of 12 and 749364? 12 What is the greatest common divisor of 452 and 2100? 4 What is the highest common divisor of 39040 and 896? 128 What is the greatest common factor of 1 and 1157209? 1 Calculate the greatest common divisor of 6 and 11535204. 6 Calculate the greatest common factor of 1440 and 31950. 90 What is the greatest common divisor of 8334 and 342? 18 Calculate the greatest common factor of 88 and 1347148. 44 Calculate the highest common factor of 471 and 2198. 157 Calculate the highest common factor of 3528 and 60592. 56 What is the greatest common divisor of 744 and 26304? 24 Calculate the highest common factor of 4454 and 136. 34 Calculate the highest common divisor of 1326 and 63804. 78 Calculate the highest common divisor of 2701585 and 397. 397 Calculate the highest common factor of 6723 and 87648. 249 Calculate the highest common factor of 20 and 10475. 5 Calculate the highest common factor of 3140 and 12. 4 Calculate the highest common divisor of 406 and 6322. 58 Calculate the highest common divisor of 8379 and 1710. 171 What is the greatest common divisor of 690045 and 537? 537 Calculate the greatest common factor of 12064 and 338. 26 Calculate the highest common divisor of 28 and 173460. 28 Calculate the greatest common divisor of 99077 and 22. 11 What is the greatest common divisor of 481 and 91871? 481 Calculate the highest common divisor of 474 and 1817. 79 Calculate the highest common factor of 348051 and 1272. 159 Calculate the highest common factor of 28 and 200627. 7 What is the greatest common factor of 950 and 267520? 190 Calculate the highest common factor of 27 and 268137. 27 What is the highest common factor of 9702 and 891? 99 Calculate the highest common factor of 104 and 565916. 52 What is the greatest common divisor of 605 and 6867355? 605 What is the highest common factor of 1977 and 56015? 659 Calculate the greatest common divisor of 26404 and 115. 23 What is the highest common factor of 48 and 3428? 4 What is the highest common divisor of 619048 and 184? 8 What is the highest common divisor of 1035 and 168429? 69 What is the greatest common factor of 31031 and 1085? 217 Calculate the highest common factor of 7386 and 3. 3 Calculate the greatest common divisor of 983167 and 502. 251 What is the highest common divisor of 572864 and 64? 64 Calculate the greatest common divisor of 34856 and 20. 4 Calculate the greatest common factor of 7551 and 6. 3 What is the greatest common factor of 6886 and 352? 22 What is the highest common factor of 1156 and 471104? 68 Calculate the highest common divisor of 174713 and 154. 77 Calculate the greatest common factor of 75589 and 3. 1 What is the highest common divisor of 49 and 44565? 1 Calculate the highest common factor of 44 and 66110. 22 What is the greatest common factor of 98119 and 3745? 749 Calculate the greatest common divisor of 608 and 10013. 19 What is the greatest common divisor of 2346302 and 154? 14 Calculate the greatest common divisor of 544 and 15712. 32 What is the highest common divisor of 124 and 12188? 4 What is the highest common factor of 962 and 68746? 74 Calculate the highest common divisor of 414760 and 240. 40 Calculate the greatest common factor of 104 and 106. 2 What is the greatest common factor of 1230 and 133086? 246 What is
{ "pile_set_name": "DM Mathematics" }
**5 + 244228*w**2? -6000*w**3 + 26460*w**2 Find the second derivative of 115873*q**5 + 264215*q. 2317460*q**3 What is the third derivative of 669098*n**3 - 322610*n**2? 4014588 Find the third derivative of 26*a**4*j + 69*a**4 - 18*a**3*j + 2*a**3 + 10216*a**2*j + j + 34 wrt a. 624*a*j + 1656*a - 108*j + 12 Find the third derivative of -377950*v**3 - 4602*v**2 + 3 wrt v. -2267700 Find the second derivative of -3416*m**2*o - 21*m**2 + 653*m*o + 36*o wrt m. -6832*o - 42 What is the third derivative of 16389*y**3 - 57*y**2 - 13*y - 17 wrt y? 98334 What is the derivative of 2*m**2*u*w + 2*m**2*u - 6370*m**2 - 724*m*w - 40*w wrt w? 2*m**2*u - 724*m - 40 What is the second derivative of 3448462*j**3 - 881130*j wrt j? 20690772*j Find the first derivative of 1387*b**2*o + 3*b**2 + b*o**3 + 31196*b - 2*o**4 wrt o. 1387*b**2 + 3*b*o**2 - 8*o**3 Find the second derivative of 78*t**3*w**2 - 114*t**3*w - 361*t**2*w**3 + 60*t**2*w + 4*w**2 - 2*w wrt w. 156*t**3 - 2166*t**2*w + 8 Differentiate 47104*y**4 + 5*y**3 + y**2 - 963567 wrt y. 188416*y**3 + 15*y**2 + 2*y What is the third derivative of 2*j**4 - 385056*j**3 + 33*j**2 + 60*j? 48*j - 2310336 Differentiate 449927*a**3 - 44470 with respect to a. 1349781*a**2 What is the second derivative of 64781*b**5 - 8304*b? 1295620*b**3 Differentiate 142078*t*y + 27*y - 37 with respect to t. 142078*y What is the third derivative of -248426*m**3*p**2*s**3 - 239*m**3*p**2*s**2 - 2*m**2*p**2 - 2*m*p - 25*m*s**2 + 2*p**2*s wrt s? -1490556*m**3*p**2 Find the first derivative of 32374*l**3*n**2 - 5*l**3 - 22104*l + 27*n**3 wrt n. 64748*l**3*n + 81*n**2 What is the first derivative of -5*m**3*w - 2*m**3 - 44*m**2 - 20*m + 220299*w - 8 wrt w? -5*m**3 + 220299 What is the second derivative of 11028*t**4 - t**3 + 5*t**2 + 386081*t + 1 wrt t? 132336*t**2 - 6*t + 10 What is the second derivative of 6*b*h*z**5 - 2*b*h*z - b*h - 56*b*z**3 - 316*b*z + 14*h*z**2 - 11*h*z wrt z? 120*b*h*z**3 - 336*b*z + 28*h Find the third derivative of -27*d**2*i*l + d**2*l**4 - d**2*l + 24*d*i*l**3 - 3*d*l**2 - 10*i*l**4 + 2*i*l**2 + 4*i*l wrt l. 24*d**2*l + 144*d*i - 240*i*l Find the third derivative of 55322*h**3*v + 2040*h**2*v - 6*h**2 wrt h. 331932*v Differentiate -b**3*q + 7*b**3 - 1324*b**2 - b - 715213*q - 2 wrt q. -b**3 - 715213 Find the third derivative of 2*n**3*w + 1729*n**3 - 4614*n**2*w wrt n. 12*w + 10374 Find the second derivative of -179422*d**4*m - 2*d**3*m**2 + 669718*d*m**2 wrt d. -2153064*d**2*m - 12*d*m**2 Differentiate 1200019*c - 1396695 with respect to c. 1200019 What is the second derivative of b**2*w**3 + 7167*b**2*w**2 + 2*b**2 + 4*b*w**3 + 228*b*w**2 - 7*w**3 + 2 wrt b? 2*w**3 + 14334*w**2 + 4 What is the third derivative of 177*i**4 + 88*i**3 + 558*i**2 + 77 wrt i? 4248*i + 528 What is the third derivative of -518*g*m**3 + 210*g*m**2 + 5*g*m - 349*m**3 - 10 wrt m? -3108*g - 2094 What is the third derivative of -17590*p**5 + p**3 - 79838*p**2 wrt p? -1055400*p**2 + 6 Differentiate 227739*a**3*u + 2*a**3 - 43624*a**2 - 2*a with respect to u. 227739*a**3 Differentiate 14136*j - 100064 wrt j. 14136 What is the derivative of 1632*f**2*t - 7*f**2 - f*t**2 + 290974*t**2 wrt f? 3264*f*t - 14*f - t**2 What is the first derivative of 160*d*g**3 - 14*d*g - 19915*d wrt g? 480*d*g**2 - 14*d Find the third derivative of 3*d**5 + 533*d**4 - 15078*d**2 wrt d. 180*d**2 + 12792*d What is the second derivative of 1139322*k**4 - 425373*k? 13671864*k**2 What is the third derivative of 2053810*w**5 - 2*w**2 - 623077? 123228600*w**2 Find the second derivative of 2*a**2*h*i*n - 61*a**2*i**2 - 138*a**2*n - 3*a*h*i**2 + 11*a*h*i + a*i*n - 2*a + 2*i**2 - 15*i*n wrt a. 4*h*i*n - 122*i**2 - 276*n Find the third derivative of -147757*u**3*x**2 + u**2*x - 28*u*x**2 - 17*u wrt u. -886542*x**2 Find the first derivative of -2*b*g**3 - 193*b*g**2 + 523436*b + g**2 - 34*g wrt g. -6*b*g**2 - 386*b*g + 2*g - 34 Find the third derivative of -2848226*a**2*m**3 + 2*a**2*m**2 + a**2*m - 231*a**2 - 7*m - 42 wrt m. -17089356*a**2 Differentiate 2*o**2*w**2 - 21*o**2*w - o**2 + 7087*o - 40*w**3 - 2 wrt w. 4*o**2*w - 21*o**2 - 120*w**2 Find the first derivative of -10*n**3 - 85*n**2 + 22*n + 871. -30*n**2 - 170*n + 22 Find the first derivative of 125*i**3 + 5*i**2 + 50*i - 853965. 375*i**2 + 10*i + 50 Find the third derivative of 1439*k**4*v**2 + 92*k**3*s**2*v - 119*k**2 + 13*k*s**2*v + 116*s*v**2 wrt k. 34536*k*v**2 + 552*s**2*v Find the first derivative of -18471*r - 107671 wrt r. -18471 Find the third derivative of 43*b**4 - 510*b**3 + 76803*b**2 wrt b. 1032*b - 3060 Find the third derivative of 12*c**6*v**2 + 377*c**6 - 26*c**2*v + c*v + 57*v**2 wrt c. 1440*c**3*v**2 + 45240*c**3 Find the third derivative of 181*f**3*x**5 - 7*f**3*x**2 + 11740*f*x**2 - 157*x**5 wrt x. 10860*f**3*x**2 - 9420*x**2 Find the third derivative of b**3*t**3 - 4029*b**3 + 228444*b**2*t**3 - 40*b**2*t**2 + 3*b*t**3 wrt t. 6*b**3 + 1370664*b**2 + 18*b Differentiate 2*l**4 - 30243*l*m**2 - 53899*m**2 + 2*m + 1 wrt l. 8*l**3 - 30243*m**2 Find the third derivative of -29007*p**3*y**3 - 68*p**2*y**3 + 17*p**2*y wrt p. -174042*y**3 Find the third derivative of 76144*h**4 - 28*h**2 + 6*h - 74 wrt h. 1827456*h Find the second derivative of -601321*v**4 + 316*v - 289 wrt v. -7215852*v**2 Differentiate -279*q**2*u**3*w + 4085*q**2 + 136*q*u**3*w - q*u**3 wrt w. -279*q**2*u**3 + 136*q*u**3 Find the second derivative of c*s**3 - 60*c*s**2 + 470912*c*s - 5*s**3 + 38*s**2 wrt s. 6*c*s - 120*c - 30*s + 76 What is the first derivative of 15*r*s**2*t + 3*r*s*t + 47*r*s + r + 7*s**2*t - 16*s**2 + 6*t + 2 wrt t? 15*r*s**2 + 3*r*s + 7*s**2 + 6 Find the second derivative of -2*j**2*u**2 - 6*j**2*u + 1620*j**2 + 4*j*u**3 + 3*u**3 - 20*u**2 wrt u. -4*j**2 + 24*j*u + 18*u - 40 What is the third derivative of 211615*c*k**6 + c*k**2 - 24*c*k + 1136*c - 2*k**2 wrt k? 25393800*c*k**3 What is the third derivative of -1178*k**4 + 195*k**3 + 19918*k**2 - 2*k wrt k? -28272*k + 1170 Find the third derivative of -1913054*u**3 + 7581*u**2 + 213*u. -11478324 Find the third derivative of -129*q**4 + 47*q**3 + 28021*q**2 wrt q. -3096*q + 282 Find the second derivative of -4186*g**4 - 3*g - 573 wrt g. -50232*g**2 Find the second derivative of -72056*o**3 + 63740*o. -432336*o Find the third derivative of 343893*i*o**4 - 5*i*o + 28135*o**2 wrt o. 8253432*i*o Find the third derivative of 203786*g*l**4 - g*l**2 - 105782*l**2 wrt l. 4890864*g*l What is the third derivative of 8*q**3*w**2*y + q**3*w**2 + 4*q**3*y + 3*q**3 - 7*q**2*w**2 + w*y + 418*w wrt q? 48*w**2*y + 6*w**2 + 24*y + 18 Find the third derivative of 14*t**6 + t**5 - 735*t**3 - 753*t**2 + 125*t + 2 wrt t. 1680*t**3 + 60*t**2 - 4410 What is the first derivative of 3*l**4*y - 125152*l**4 - 24*y - 33444 wrt l? 12*l**3*y - 500608*l**3 What is the third derivative of -7146*y**2*z**3 + 13*y**2*z**2 + 2*y**2 + 56*y + 4*z**2 + 1 wrt z? -42876*y**2 What is the third derivative of 960266*p**3 - 9084*p**2 + 5*p? 5761596 What is the first derivative of 21*c*x**3 - 1325*c - 2649*x**3 - 22 wrt x? 63*c*x**2 - 7947*x**2 What is the third derivative of 97964*b**3 + 69690*b**2 wrt b? 587784 Find the first derivative of 2*b**3 + 3*b**2 - 942*b + 124380 wrt b. 6*b**2 + 6*b - 942 What is the third derivative of 26*r*u**5 + 94*r + 23*u**4 + 2*u**3 + 2*u**2 - 11 wrt u? 1560*r*u**2 + 552*u + 12 Find the second derivative of 76521*r**4 + 63674*r. 918252*r**2 What is the derivative of -50651*j**4 - 241905 wrt j? -202604*j**3 What is the second derivative of -28608*j**2 + j + 7715 wrt j? -57216 Find the first derivative of -2*d*t + 396*d + 195*t - 29 wrt d. -2*t + 396 What is the third derivative of 17994*j**6 - 6*j**2 + 5*j + 8 wrt j? 2159280*j**3 Find the second derivative of b*s**2 - 4579*b*s - b - 77199*s**2 + 2*s - 5 wrt s. 2*b - 154398 What is the first derivative of -107927*m - 42744? -107927 Find the third derivative of -2*i**6*l + 132311*i**3*l - i**2*l + 157*i**2 + 3*l wrt i. -240*i**3*l + 793866*l What is the third derivative of 2*l**3*v - 528317*l**3 + 9*l**2*v + l*v + 458*l - 37 wrt l? 12*v - 3169902 Differentiate 20016*f**3*m + 336*f**3 + 4*f wrt m. 20016*f**3 What is the first derivative of -1012956*d*v - 380*d - 492 wrt v? -1012956*d What is the second derivative of 12589
{ "pile_set_name": "DM Mathematics" }
et v(f) be the second derivative of -f**5/20 - 11*f**4/12 - 2*f**3 - 3*f**2 + 2*f. Let r be v(-10). Let x be (-1)/2 - 7/r. Does 1 = x? False Let x be (24/(-36))/(3/(-2)). Is x greater than or equal to 44? False Let u(j) = j**3 + 5*j**2. Let l be u(-5). Suppose l = 14*z - 16*z - 6. Let t be -3 - z/2 - 0. Is t != 3? True Suppose -10 = -n - 3. Let a(i) = 662*i**2 - 6*i - 1325*i**2 + 664*i**2. Let z be a(n). Are z and -1 non-equal? True Let h = -3658437/11 - -332308. Let u = -277 - h. Is 2 smaller than u? False Let w(c) = c - 8. Let d be w(7). Let t = 3 + d. Suppose -5*m + q - 32 = t*q, -3*m - 5*q - 28 = 0. Is m bigger than -5? False Let x be 4/((-654)/(-94) + -2 - 5). Is -95 < x? True Let g = 318 - 376. Which is smaller: -60 or g? -60 Suppose 3*v = 5*v + 2. Let a be v/(-4) - 17/4. Let w(h) = h**2 - 32*h - 4. Let x be w(32). Is a > x? False Let v = -106.8 - -106.89. Let g = -0.2 + 0.1. Which is smaller: g or v? g Suppose 16*y - 315 = 51*y. Let s be (-7 - 11)*(-1)/(-2). Is y greater than or equal to s? True Let w(z) = 2*z**2 - 9*z - 184. Let f be w(-8). Which is smaller: f or 1.8? 1.8 Let x = 2/21168143 - 44939968573/10414726356. Let k = 943325/164 - 5752. Let v = x + k. Are v and -5 equal? False Let p = -7.67 - -7.37. Is p greater than 2/119? False Let a = 2.329 + -0.329. Is a greater than or equal to -20? True Let s = -146.1 - -146.2. Let x = -87.937 + 88. Which is smaller: s or x? x Let n be 3*-3*3/(-9). Suppose -w = -0*w + n. Let z be (w - 0)/(3/(-5)). Are 5 and z unequal? False Let n be (3/2)/(96/(-64)). Let m = -96/5 + 2789/145. Let i = -27/58 - m. Which is bigger: i or n? i Let y(a) = -a**3 - 4*a**2 - 2*a - 3. Let p be y(-4). Suppose p*t - 14 = 16. Suppose 4 = t*k - 7*k. Is k equal to -5? False Suppose 13*a = 15*a - 2486. Let m be a/(-770) - 3/(-2). Is m bigger than -1? True Let i = 0 - 0.3. Suppose n - 17 = -16. Let m be 24/54*-2*n/4. Which is smaller: m or i? i Let s = 11250/7 + -1612. Which is smaller: -5 or s? -5 Let j = -3/7903 - -2228679/86933. Let y = 2787/110 - j. Which is greater: 0 or y? 0 Suppose 21*l - 21 = -0. Which is bigger: -2/1117 or l? l Suppose 2*x - 618 = x. Let l = -3102/5 + x. Is -2 greater than or equal to l? True Let g = 28 - -5. Let z = -32.92 + g. Suppose 4 = -4*u - f + 3*f, -3*f + 2 = -2*u. Is u >= z? False Let n(z) = z**3 - 9*z**2 - 2. Suppose -f = 1, -3*g + 4*f = -2*g - 13. Let k be n(g). Let v(x) = x - 6. Let y be v(6). Which is smaller: k or y? k Let i be 4/6*-3 + 7. Suppose b + n = 6*b - 11, -n + 16 = 4*b. Is b smaller than i? True Let i be (1330/56)/(3/(-9)). Is -71 less than or equal to i? False Let j = -25 - -24. Let p = -35/13 + 263/117. Is j at least as big as p? False Suppose 0 = 2*n + 2*n + 8. Let l be (20/(-15))/(n/9). Let k = -5 + l. Is k smaller than 2? True Suppose 0*u = 2*h + 2*u + 412, 2*h + 4*u = -404. Which is smaller: h or -209? h Let x = -2304 + 2305. Which is greater: x or -6/619? x Let r = 118 - 171.12. Let u = 53 + r. Which is greater: 2/9 or u? 2/9 Let t(y) = -y**3 + 9*y**2 + 9*y - 4. Let a be t(10). Let c(q) = -3*q - 34. Let j be c(a). Is 8 greater than j? False Suppose 0 = 41*r + 5169 + 1514. Is r at most as big as -163? True Let v = -148 - -160. Which is smaller: 18 or v? v Let z = -17 - -26. Is 112/11 at most z? False Let m = -48 + 109. Let h = 76 - m. Is h at most 1? False Suppose 4*g - 47 = -2*r + 131, -g - 77 = -r. Let m = r + -87. Is -23/5 at most as big as m? False Let a = -66 - 289. Let h = a + 2479/7. Let i be 2*2/(-4) + 1. Which is greater: i or h? i Let p = 16 + -14. Suppose -3*h + 30 = -h + 4*a, 30 = 4*h - p*a. Suppose h*z - 35 = 4*z. Do z and 8 have different values? True Suppose 4*i + 0*i - 2 = -2*l, 5*l = -25. Let j(s) = -s**3 + 5*s**2 - 5*s + 3. Let b be j(i). Is b less than -1? False Let x = 674 - 673.88. Which is greater: 14 or x? 14 Let a = -618 - -620. Is 127 < a? False Let j(u) = 57*u + 341. Let v be j(-6). Let o = 1 + 0. Let t be o/1 - (-24)/(-15). Is v smaller than t? True Let q = 112 - 83. Let i = q + -24. Which is smaller: 0 or i? 0 Let z be (-1522)/120 - (-10)/30. Let t = -63/5 - z. Let n = -4 + 3. Are t and n unequal? True Let u be 88/(-24)*1*(17 + 1). Let p = u - -92. Is 25 at most p? True Suppose 3 + 1 = -f + 3*q, 0 = -2*f + 3*q - 2. Suppose -5*l = -2*z - 5, -f*l + 3*l - 1 = 0. Let a be ((-1)/(-5))/(4/12). Is z > a? False Let p(n) = -8*n**3 - n**2 + n - 1. Let h be p(1). Let l = -4 - h. Is 5 bigger than l? False Let i = -212 - -98. Let t = -168 - i. Is t smaller than -54? False Let t(r) = -r**3 - 3*r**2 + 3*r + 6. Let n be t(-4). Let f = 546 + -545.9. Is f at most as big as n? True Let b(i) = i**2 - i + 1. Let j(u) = -u**3 + 18*u**2 - 5*u + 7. Let t(k) = -5*b(k) + j(k). Let s be t(13). Let m be (169/26)/(s/4). Is m bigger than 12? True Let y = 2125 - 2125. Which is smaller: -10/513 or y? -10/513 Let w = 1339 + -3713. Is w at most as big as -2373? True Let m be -5 + 3 + -4 + 5. Which is bigger: 2/123 or m? 2/123 Let f = -51 - -51.21. Let c = f - -7.79. Let a = 56 - 56. Which is bigger: a or c? c Suppose 75 = 5*s - 50. Suppose 0 = -6*t + t - 5*l + s, -5*l = 3*t - 23. Let n be (6/9 - t)*3. Is 2/5 at least as big as n? True Let g = 86.116 + -12.106. Let v = -74 + g. Does v = -1/3? False Suppose 3*z + 8*z + 572 = 0. Let o = z + 54. Is 5/6 smaller than o? True Let a(t) = -t**2 + 2*t + 6. Let x be a(4). Let r be ((-10)/180)/(3/x). Suppose -h - 6 = 3*u, -h + 5*u = -12 + 2. Are r and h unequal? True Let w = 1047 - 1599. Which is bigger: w or -553? w Suppose 0 = 734*d - 736*d - 602. Is -298 less than or equal to d? False Suppose 2*l = -3*p - 6, -5*p = -3*l + 5*l + 6. Does -13/22 = p? False Let l be -5*4/(-20)*2. Suppose -y = 5*r + 16, 3*r = l*y - 13 - 7. Let n be 2/y*(-4)/(-7). Which is smaller: -3/7 or n? -3/7 Let q = -1 - 6. Let b be (8 - -1) + 4 + q. Let n be 2/5*(-10)/b. Which is greater: n or -3/4? n Let u = 16 - 11. Let r = -77219/1768 - -742/17. Let m = r + -181/936. Which is smaller: u or m? m Let z = -34.8 - -34.7. Is -162 at least as big as z? False Let m = 0.017 - 4.217. Let k = m - -3.2. Which is bigger: k or -9? k Let r be -16997*4/(-44) + 2/(-11). Let w = 97333/63 - r. Which is bigger: 1 or w? 1 Let m(q) be the second derivative of q**3 + 43*q**2/2 + 32*q. Let c be m(-6). Which is bigger: c or 5? c Let v = 71 - 23. Let u = v + -75. Is u < -28? False Suppose -455 + 657 = 2*s. Which is bigger: 104 or s? 104 Let r(o) = 2*o**2 + 25*o + 72. Let u be r(-8). Let i = -6 + 4. Let q be 0 - (i - (-34)/10). Are u and q equal? False Let i = -1.75 + 5.75. Which is greater: i or 35? 35 Let c = -25 - 9. Let l = 41 + c. Let w be (-1)/(-21) - (-2)/7. Is l at least w? True Let f = -47 - -74. Let t = 27.1 - f. Is -23 <= t? True Let t(z) = 10*z**3 + 20*z**2 + 26*z - 11. Let f(w) = -7*w**3 - 13*w**2 - 17*w + 7. Let h(x) = -7*f(x) - 5*t(x). Let b be h(-7). Is b < -16? False Let h(b) = -3*b - 6. Let o be h(-12). Suppose -5*z = -5*g + o, -4*g - 2*z = g - 16. Which is smaller: -0.3 or g? -0.3 Let a be (1 - 4)/((-20)/8). Suppose 0 = 3*b + 25 - 4. Let n(h) = h**3 + 6*h**2 - 7*h. Let r be n(b). Is a bigger than r? True Let a = 43637/357 + 12/119. Is 123 at most a? False Suppose -3*s - 4*h + 82 = 20, -5*h - 31 = -4*s. Suppose -2*a + t + s = 2*t, -3*a + 7 = -2*t. Suppose 5*o + 2*x + 8 = o, 5*x = -5*o - a. Is o at least -7/3? False Let l be (-3 - 3)/((4 + -5)*1). Which is greater: l or 1.2? l Let n = -35 + 56. Let z be (-38)/(-14) + 6/n. Let p = -9 + z. Which is smaller: p or -7? -7 Suppose -2*p = -5*c - 154, 0*c + 58 = -2*c + 2*p. Let l be c/(-12) + (-4)/6. Suppose 0 = l*n + 2 + 2. Is -3 bigger than n? False Let l = 5468/391 - 208/23. Which is bigger: 6 or l? 6 Let r = 1 + -3. Is r at least 19? False Let v be (-34195)/16800 + (-2)/(-30). Which is smaller: v or -2? -2 Suppose 0 = -u + 5*v - 4*v + 12, -u = 3*v - 8. Let q = -11 + u. Which is bigger: -1/10 or q? q Let o = 4.01 + -0.01. Let j be (-5)/10*(3 - 41). Let s = 18 - j. Is o < s? False Let k(l) = -l**2 + l + 49. Let q be k(7). Let f(g) = -g**2 + 7*g - 6. Let d be f(7). Let b = q + d. Do b and 5/4 have the same value? False Let s(m) = -m**3 + 2*m + 1. Let u be s(-1). Let y = u + -8. Let i be 2/8 + y/160. Does 1 = i? False Let b = -5 - -7. Let a = 81485/6 + -13580. Which is bigger: b or a? b Let x = 18.8 + -17. Let v = -270 + 27
{ "pile_set_name": "DM Mathematics" }
*2/9 - 2432*i/3 = 0. Calculate i. -24, -4, 0, 1, 19 Factor 3*t**2 + 21414*t - 64269. 3*(t - 3)*(t + 7141) Solve 6*y**3 + 1215*y**2/2 - 52761*y/2 - 6633 = 0 for y. -134, -1/4, 33 Factor -h**2 + 659548*h - 108750891076. -(h - 329774)**2 Let -5*w**2 + 2455*w - 134820 = 0. Calculate w. 63, 428 Let -v**2/2 - 229162*v - 26257611122 = 0. Calculate v. -229162 Let -4*i**5 - 184*i**4 + 2108*i**3 - 7216*i**2 + 9776*i - 4480 = 0. Calculate i. -56, 1, 2, 5 Solve -2*z**4 - 7272*z**3 + 21842*z**2 + 29112*z = 0. -3639, -1, 0, 4 Factor k**2 + 3353*k + 20082. (k + 6)*(k + 3347) Determine i so that -2*i**5/3 + 4*i**4 - 16*i**3/3 = 0. 0, 2, 4 Factor -3*q**3 + 126*q**2 - 915*q + 792. -3*(q - 33)*(q - 8)*(q - 1) Factor -r**5/4 - 15921*r**4 - 63681*r**3 - 63680*r**2. -r**2*(r + 2)**2*(r + 63680)/4 Suppose -2*v**2 + 4434*v + 4436 = 0. What is v? -1, 2218 Factor 2*g**2/17 + 4570*g + 155372/17. 2*(g + 2)*(g + 38843)/17 Factor 3*i**3 - 804*i**2 - 10119*i + 10920. 3*(i - 280)*(i - 1)*(i + 13) Suppose -p**2/4 - 4193*p - 17581249 = 0. What is p? -8386 Suppose 10*g**2 + 399276*g - 159712 = 0. Calculate g. -39928, 2/5 Factor 2*p**2/9 + 10*p/3 - 11388. 2*(p - 219)*(p + 234)/9 Factor 2*b**3/9 + 78136*b**2/9 + 763154312*b/9. 2*b*(b + 19534)**2/9 Determine y so that -2*y**2/11 - 119294*y/11 = 0. -59647, 0 Determine u so that -u**4/6 - 7*u**3/3 - 2*u**2 + 124*u/3 - 160/3 = 0. -10, -8, 2 Factor -i**3/4 - 5113*i**2/4 - 5110*i - 5109. -(i + 2)**2*(i + 5109)/4 Determine g so that 5*g**2 + 550*g + 5000 = 0. -100, -10 Find b, given that -4*b**4 + 2540*b**3 + 30972*b**2 + 54308*b + 25880 = 0. -10, -1, 647 Factor m**2/2 - 214*m + 22736. (m - 232)*(m - 196)/2 Let -14*d**5 + 36076*d**4/3 + 574*d**3 - 3436*d**2/3 = 0. What is d? -1/3, 0, 2/7, 859 Determine y, given that -96*y**4 - 938*y**3/3 + 318*y**2 + 368*y/3 - 32 = 0. -4, -4/9, 3/16, 1 Solve 7*o**2 + 341451*o - 97558 = 0. -48779, 2/7 Factor -4*s**3 + 1088*s**2 + 2224*s - 8768. -4*(s - 274)*(s - 2)*(s + 4) Factor -6*y**3 - 46136*y**2 - 88673390*y + 59136100. -2*(y + 3845)**2*(3*y - 2) Determine m so that -2598544*m**3 + 15571920*m**2 + 116028*m + 216 = 0. -3/806, 6 Solve -3*l**4/7 - 27*l**3 + 195*l**2/7 + 27*l - 192/7 = 0 for l. -64, -1, 1 Solve -16*c**4 + 222936*c**3 + 111487*c**2 - 209001*c - 125406 = 0. -3/4, 1, 13934 Let 3*y**3 - 2487*y**2 - 30276*y = 0. Calculate y. -12, 0, 841 Factor -34*q**2 + 3208*q - 1128. -2*(q - 94)*(17*q - 6) Let -5*g**5 + 15*g**4 + 90*g**3 - 200*g**2 = 0. What is g? -4, 0, 2, 5 Factor -s**3 + 65*s**2 - 239*s - 305. -(s - 61)*(s - 5)*(s + 1) Solve 2*s**2/9 - 11992*s/9 + 2664 = 0. 2, 5994 Find v such that v**5 - 64*v**4 + 720*v**3 - 944*v**2 - 2896*v + 4800 = 0. -2, 2, 12, 50 Solve 4*i**2 + 309720*i + 5995404900 = 0. -38715 Suppose 5*q**2 + 15375*q - 154250 = 0. Calculate q. -3085, 10 Find n, given that -180*n**4 - 5548*n**3 - 36648*n**2 - 72960*n - 14464 = 0. -113/5, -4, -2/9 Determine z so that -8868*z**4/5 + 30156*z**3 - 144513*z**2/5 + 35862*z/5 - 96/5 = 0. 2/739, 1/2, 16 Factor -3*v**3 + 7173*v**2 - 463617*v + 7595775. -3*(v - 2325)*(v - 33)**2 Let t**4 - 609*t**3 + 93024*t**2 - 92416*t = 0. Calculate t. 0, 1, 304 Solve -4*p**2 - 3104*p + 346500 = 0 for p. -875, 99 Find x, given that 2*x**5/3 - 3458*x**4/3 + 1958288*x**3/3 - 342491216*x**2/3 - 11799086560*x/3 + 24952526944/3 = 0. -31, 2, 586 Determine m so that 2*m**4 - 180*m**3 + 4126*m**2 - 3948*m = 0. 0, 1, 42, 47 Factor o**2/3 - 68*o/3 + 105. (o - 63)*(o - 5)/3 Suppose 3*r**3/11 + 31576*r**2/11 + 73655*r/11 - 63138/11 = 0. What is r? -10523, -3, 2/3 Solve -4*t**2/3 - 49192*t/3 - 393280/3 = 0 for t. -12290, -8 Factor -2*c**2/11 - 306814*c/11 + 306816/11. -2*(c - 1)*(c + 153408)/11 Factor 2*t**3/3 - 42*t**2 - 86*t - 130/3. 2*(t - 65)*(t + 1)**2/3 Factor 2*m**3/7 - 256*m**2/7 + 7802*m/7 + 16644/7. 2*(m - 73)*(m - 57)*(m + 2)/7 Factor -4*x**2/9 + 94*x/3 - 680/9. -2*(x - 68)*(2*x - 5)/9 What is g in g**2/2 - 411*g/2 + 20554 = 0? 172, 239 Factor -2504*v**3 - 12*v**2. -4*v**2*(626*v + 3) Solve -d**4 - 215*d**3 + 217*d**2 + 215*d - 216 = 0 for d. -216, -1, 1 Suppose -5*u**2 + 177770*u - 711000 = 0. Calculate u. 4, 35550 Factor f**2/11 - 616234*f/11. f*(f - 616234)/11 Suppose -3*o**5 + 51*o**3 - 48*o = 0. Calculate o. -4, -1, 0, 1, 4 Factor x**2 - 2212*x - 8864. (x - 2216)*(x + 4) Factor 2*a**2/3 + 1086040*a/3 + 147435360200/3. 2*(a + 271510)**2/3 Factor -5*c**2 + 380*c + 9025. -5*(c - 95)*(c + 19) Find x such that -x**2/5 + 3058*x/5 - 10944 = 0. 18, 3040 Factor -i**3/3 - 439*i**2/3 + 738*i - 888. -(i - 3)*(i - 2)*(i + 444)/3 Let -175*y**5 - 1385*y**4 - 2320*y**3 + 1480*y**2 + 3440*y - 1040 = 0. What is y? -26/5, -2, 2/7, 1 Let -y**5 + 15*y**4 - 68*y**3 + 92*y**2 + 48*y - 128 = 0. Calculate y. -1, 2, 4, 8 Factor -474*j**3/5 + 61616*j**2/5 - 400426*j - 3380. -2*(j - 65)**2*(237*j + 2)/5 Suppose 2*k**5/5 + 938*k**4/5 + 20746*k**3 - 1462018*k**2/5 + 5754116*k/5 - 6505072/5 = 0. What is k? -241, 2, 4, 7 Suppose 3*h**3 - 33*h**2 - 216*h + 540 = 0. Calculate h. -6, 2, 15 Factor -r**2 - 11644*r - 33895684. -(r + 5822)**2 Suppose -5*o**4/6 + 23*o**3 + 881*o**2/6 + 55*o = 0. Calculate o. -5, -2/5, 0, 33 What is c in 3*c**2/8 - 243*c/8 + 243 = 0? 9, 72 Let -4*v**2 - 2223872*v - 309100417024 = 0. What is v? -277984 Suppose 3*t**3 + 4764*t**2 - 38268*t + 57456 = 0. What is t? -1596, 2, 6 Factor -3*z**3 + 12645*z**2 - 50496*z - 151596. -3*(z - 4211)*(z - 6)*(z + 2) Factor -3*s**2/8 + 495*s - 11853/8. -3*(s - 1317)*(s - 3)/8 Suppose -68*w**2/11 - 6638*w/11 - 780/11 = 0. Calculate w. -195/2, -2/17 Suppose o**3 - 4298*o**2 - 4299*o = 0. Calculate o. -1, 0, 4299 Determine k, given that 2*k**2/5 + 492*k/5 - 4576 = 0. -286, 40 Factor 5*l**3 + 455*l**2 + 2080*l - 6020. 5*(l - 2)*(l + 7)*(l + 86) Factor -g**2 - 615512*g. -g*(g + 615512) Suppose -51*f**3/7 - 366*f**2/7 + 1455*f/7 - 1038/7 = 0. What is f? -173/17, 1, 2 Let l**5/4 + 103*l**4/4 + 2687*l**3/4 + 989*l**2/4 - 9894*l + 13005 = 0. What is l? -51, -5, 2 Find d such that -d**3/2 + 7433*d**2/2 + 11153*d + 7436 = 0. -2, -1, 7436 Suppose c**2/7 + 12492*c/7 + 39012516/7 = 0. What is c? -6246 Factor 4*t**3 - 1992*t**2 + 9884*t - 11832. 4*(t - 493)*(t - 3)*(t - 2) Solve -5*o**2/6 - 1825*o/2 - 167375/3 = 0. -1030, -65 Suppose -78*k**4/7 + 9188*k**3/7 + 1938*k**2/7 - 5912*k/7 + 1416/7 = 0. Calculate k. -1, 1/3, 6/13, 118 Factor 5*b**3 + 21460*b**2 + 22897280*b - 277866240. 5*(b - 12)*(b + 2152)**2 What is s in -s**3/4 + 53*s**2 - 1029*s/4 - 621/2 = 0? -1, 6, 207 Determine q so that -q**3/4 + 192*q**2 - 183141*q/4 + 6965595/2 = 0. 189, 390 Factor j**5 + 21*j**4 + 57*j**3 - 181*j**2 + 102*j. j*(j - 1)**2*(j + 6)*(j + 17) Determine t so that -t**4 + 127*t**3 - 3627*t**2 - 8163*t + 11664 = 0. -3, 1, 48, 81 What is r in -2*r**5 + 160*r**4 - 3034*r**3 - 6556*r**2 - 3360*r = 0? -1, 0, 40, 42 Determine m, given that -3*m**2 + 362982*m - 10979661027 = 0. 60497 Determine o so that -4*o**4 + 4642*o**3 - 11572*o**2 - 9270*o + 6948 = 0. -1, 1/2, 3, 1158 Factor 2*x**2 - 126430*x + 126428. 2*(x - 63214)*(x - 1) What is d in 2*d**4/17 - 18070*d**3/17 - 18080*d**2/17 + 72280*d/17 + 72288/17 = 0? -2, -1, 2, 9036 Suppose 99*j**4 - 411*j**3 - 237*j**2 + 1827*j - 270 = 0. Calculate j. -2, 5/33, 3 Factor x**4 - 93*x**3 + 1847*x**2 - 1755*x. x*(x - 65)*(x - 27)*(x - 1) Factor -5*n**4/3 + 20*n**3/3 + 5*n**2 - 30*n. -5*n*(n - 3)**2*(n + 2)/3 What is a in -a**2/4 - 4865*a/2 + 4866 = 0? -9732, 2 Factor -m**3/4 + 105*m**2 - 7200*m - 864000. -(m - 240)**2*(m + 60)/4 What is w in w**3/6 - 223*w**2/3 - w/6 + 223/3 = 0? -1, 1, 446 Determine o, given that o**4 + 1407*o**3 - 4227*o**2 + 4229*o - 1410 = 0. -1410, 1 Factor 5*g**4 - 100*g**3 + 85*g**2 + 190*g. 5*g*(g - 19)*(g - 2)*(g + 1) Determine s, given that -525*s**4 + 3153*s**3 + 507*s**2 - 3153*s + 18 = 0. -1, 1/175, 1, 6 Solve -a**3/3 + 61*a**2/3 - 599*a/3 + 539/3 = 0 for a. 1, 11, 49 Determine g so that -476*g**5 - 3664*g**4 - 1708*g**3 + 4504*g**2 + 1344*g = 0. -7, -24/17, -2/7, 0, 1 Factor 2*h**3 - 33832*h**2 + 67658*h - 33828. 2*(h - 16914)*(h - 1)**2 Factor j**4/3 + 1066*j**3/3 + 93624*j**2 - 1715200*j/3 + 2298368/3. (j - 4)*(j - 2)*(j + 536)**2/3 Factor -237*t**4 + 456*t**3 + 36*t**2. -3*t**2*(t - 2)*(79*t + 6) Factor -2*j**2/7 + 82*j/7 + 26772/7. -2*(j - 138)*(j + 97)/7 Suppose -2*m**3/5 + 3106*m**2
{ "pile_set_name": "DM Mathematics" }
) wrt n. 72*n What is the third derivative of -5*i**3 + 13*i**2 - 1 + 1 - 4*i**3 wrt i? -54 Let q(l) = -l**2 + 12*l + 18. Let h be q(13). Suppose 0*u + h*g = u, 0 = 3*u - 4*g - 11. Differentiate 3*v**4 + u - v**4 - 3*v**4 - 1 wrt v. -4*v**3 Let g(h) = -h**2 - 6*h - 1. Let t be g(-5). Suppose s + 0*s - t = 0. Differentiate 3 + 0*f**s - 4 - f**4 with respect to f. -4*f**3 Suppose 7 = -l + 2*l. What is the third derivative of 4*z**4 - l*z**2 + 0 + 0 + 2*z**4 wrt z? 144*z Let z(j) be the first derivative of -j**6/15 - j**2/2 + j - 1. Let f(h) be the first derivative of z(h). Find the first derivative of f(i) wrt i. -8*i**3 Let r be (-4)/5*15/(-6). Let i(o) = 2*o**2 + 6. Let k(w) = -1. Let m(c) = r*k(c) + i(c). Differentiate m(q) with respect to q. 4*q Let p(u) be the third derivative of -u**5/60 + 7*u**4/24 + u**3/3 + 3*u**2. Let z be p(7). What is the third derivative of j**2 + j**z - 4*j**6 + j**6 wrt j? -360*j**3 Let r(a) = 27*a + 8. Let b(d) = d - 8*d - 6*d - 4. Let l(x) = 13*b(x) + 6*r(x). What is the first derivative of l(p) wrt p? -7 Let u be (1 + -4)*(-2)/3. Differentiate 5*f**4 - 5 - 4 + u with respect to f. 20*f**3 Let s(j) = -j**4 - j**2 - 3*j - 1. Let d(b) = -b**4 + b**2 + b + 1. Let w(u) = 3*d(u) + 3*s(u). What is the second derivative of w(y) wrt y? -72*y**2 Let a be (36/42)/((-2)/(-14)). What is the third derivative of -2*s**2 - 3*s**6 - 2*s**6 - s**6 + 3*s**a wrt s? -360*s**3 Let s(n) = -15*n**4 + 6*n**2 - 8*n - 6. Let m(l) = 16*l**4 - 7*l**2 + 9*l + 7. Let r(i) = 6*m(i) + 7*s(i). What is the second derivative of r(c) wrt c? -108*c**2 Let t(s) be the first derivative of 5*s**6/6 - 4*s**2 - 14. Find the second derivative of t(v) wrt v. 100*v**3 Let a be -8 + 8 + -1*2. Let l(y) = -4*y**3 - 3*y**2 - 5*y. Let g(x) = 2*x**3 + x**2 + 2*x. Let t(h) = a*l(h) - 5*g(h). Find the third derivative of t(c) wrt c. -12 Let s be (-14*1)/(-1 - 1). Let d(u) = -u**2 + 9*u - 9. Let o be d(s). Differentiate o - x - x - 2 wrt x. -2 Let p be 9/6 + 6/4. Let x = 8 + -5. Find the third derivative of r**3 - 3*r**p - r**2 - r**x - r**2 wrt r. -18 Let r = -12 - -21. Differentiate -r + 11 - n + 0 with respect to n. -1 Let w(q) = 12*q**4 - 7*q**3 + 7*q**2 + 2. Let f(k) = 12*k**4 - 6*k**3 + 6*k**2 + 2. Let y(i) = -7*f(i) + 6*w(i). Find the first derivative of y(a) wrt a. -48*a**3 Find the third derivative of -6*u**2 + 8*u**5 + 0*u**2 - 2*u**2 - 4*u**2 wrt u. 480*u**2 Let v = -1 + 2. Suppose w - v = -y - 4, -w = -4*y + 13. Find the first derivative of -4*g**2 + 2*g**2 + 4*g**y + 1 wrt g. 4*g Let m(j) be the second derivative of -j**5/15 - j**4/24 - 2*j**2 - 4*j. Let k(t) be the first derivative of m(t). Find the second derivative of k(f) wrt f. -8 Let r(b) be the second derivative of b**9/1008 - b**5/30 + b**3/2 + b. Let q(g) be the second derivative of r(g). What is the second derivative of q(x) wrt x? 60*x**3 Let z be 2 - (-1 + 1 + -2). Let c = z - 3. Differentiate -2*p**4 - c + p**4 + 0*p**4 with respect to p. -4*p**3 Let d(i) be the third derivative of -i**6/20 + 7*i**3/6 - 7*i**2. What is the derivative of d(z) wrt z? -18*z**2 What is the third derivative of -2*x**3 - 18*x + 2*x**4 + 30*x**2 + 18*x + 5*x**2 wrt x? 48*x - 12 Suppose 0 = -2*p + p + 5*a - 9, 3*a - 3 = p. What is the third derivative of -32*r**2 + r**p + 36*r**2 + 0*r**6 wrt r? 120*r**3 What is the third derivative of 3*d**3 - 6*d**2 - 12*d**3 + 4*d**2 + 11*d**2 wrt d? -54 Let g = 9 - 6. Let q(l) = -3*l**4. Let v(b) = 0*b - b**2 - 4*b**4 + 0*b. Let m(z) = g*q(z) - 2*v(z). What is the third derivative of m(k) wrt k? -24*k Differentiate -28 + 993*y**2 - 1033*y**2 - 35 with respect to y. -80*y Let o(r) be the first derivative of 7*r**4/2 - 16*r**3/3 + 8. What is the third derivative of o(n) wrt n? 84 Let o(r) be the second derivative of -r**9/504 + r**5/20 - 2*r**2 + 2*r. Let k(u) be the first derivative of o(u). What is the third derivative of k(h) wrt h? -120*h**3 Let a(l) be the third derivative of -l**5/12 - l**3/3 + 6*l**2. Differentiate a(g) with respect to g. -10*g Let h be (-52)/(-8) + 3/(-6). Find the third derivative of -8*k**2 + 11*k**6 - 2*k**h + 2*k**2 - 6*k**6 wrt k. 360*k**3 Suppose 4*f = 2*f. Let r be (-1*(f + 2))/(-1). Find the third derivative of h**r - 3*h - h**3 + 3*h wrt h. -6 Let r(y) = -y**2 + y. Let w(f) = -6*f**2 - 10*f. Let z(b) = -5*r(b) + w(b). What is the second derivative of z(j) wrt j? -2 Let x(o) = 3*o**2 - 5. Let w(m) = -5*m**2 + 11. Let s(k) = -k**2 + 7*k - 8. Let r be s(6). Let y(f) = r*w(f) - 5*x(f). Differentiate y(h) wrt h. -10*h Suppose 0 = -3*v - 1 + 7. Suppose 3*z = -5*s + 11, v*s - z + 8 = 4*z. Find the first derivative of 4 - s - 2 + j wrt j. 1 Let q(p) be the first derivative of -14*p**5/5 + 3*p - 4. What is the derivative of q(w) wrt w? -56*w**3 Let i(j) = -36*j**3 - 92*j**2 - 7*j. Let u(a) = -12*a**3 - 31*a**2 - 2*a. Let n(b) = -2*i(b) + 7*u(b). Find the third derivative of n(x) wrt x. -72 Let b(q) be the third derivative of 1/168*q**8 + 0 + 0*q - 1/12*q**4 + 0*q**5 + 0*q**6 + q**2 + 0*q**7 + 0*q**3. Find the second derivative of b(f) wrt f. 40*f**3 Let j(w) be the first derivative of w**8/560 + w**4/12 + 2*w**3/3 + 4. Let n(c) be the third derivative of j(c). Differentiate n(s) wrt s. 12*s**3 Let h(k) be the first derivative of -4 + 0*k**2 + 0*k - 2/3*k**6 + k**3 + 0*k**4 + 0*k**5. Find the third derivative of h(x) wrt x. -240*x**2 Let h(l) = 37*l**2 + 43*l. Let w(r) = 18*r**2 + 22*r. Let t(o) = -3*h(o) + 5*w(o). Find the second derivative of t(q) wrt q. -42 Let r(a) be the first derivative of a**4/2 + a**3/3 - 10. What is the third derivative of r(g) wrt g? 12 Let k(x) be the third derivative of -7*x**6/120 + x**4/4 - 7*x**2. What is the second derivative of k(g) wrt g? -42*g Let a(v) be the third derivative of 31*v**4/24 + 11*v**3/2 + 7*v**2. Find the first derivative of a(j) wrt j. 31 Let w(m) = -2*m - 4. Let q be w(-5). Let o be (-2)/(q/15*-1). What is the derivative of -o*t**4 + 0 + 4*t**4 - 1 wrt t? -4*t**3 Let t(d) = 17*d**5 + 8*d**4 + 8*d**3 - 4*d. Let n(s) = 6*s**5 + 3*s**4 + 3*s**3 - s. Let h(v) = -8*n(v) + 3*t(v). Find the second derivative of h(j) wrt j. 60*j**3 Let y = 23 + -16. Differentiate 3 + 2 - y*u + 1 - 1 wrt u. -7 Let d(j) = -3*j**3 + 1. Let t = 4 - 1. Let i(w) = -2 - t + 12*w**3 + w**3. Let u(g) = 18*d(g) + 4*i(g). Find the first derivative of u(f) wrt f. -6*f**2 Let i(f) = -6*f**3 + f**2 - 6*f + 6. Let b(w) = 6*w**3 - w**2 + 7*w - 7. Let k(s) = 6*b(s) + 7*i(s). Find the third derivative of k(v) wrt v. -36 Suppose -5*f + 31 = -5*c + 76, -3*c + 32 = -4*f. Find the second derivative of -5*l**c + 6*l**4 + 7*l**4 + 4*l - 3*l**4 wrt l. 60*l**2 Let x(v) be the second derivative of -v**3/6 + v. Let t be x(-11). What is the third derivative of -k**5 + 3*k**5 - 10*k**2 + t*k**2 wrt k? 120*k**2 Let h(l) be the first derivative of -l**4/4 + 4*l**3/3 - l**2 + l + 2. Let o be h(3). What is the derivative of -3 + i**o - 4 + 4 wrt i? 4*i**3 Suppose -k + 9 = 2*k, 4*v + k = 19. Find the third derivative of 3*m**2 - 4 + v - 3*m**6 wrt m. -360*m**3 Let t(h) = 2*h**2 - 3*h + 2. Let o(y) = -3*y**2 + 4*y - 2. Let k(c) = 3*o(c) + 4*t(c). Find the first derivative of k(s) wrt s. -2*s Suppose 5*l - 15 = 5. What is the second derivative of -7*s + s**4 + s + 6*s**4 + s**l wrt s? 96*s**2 Let u(r) be the third derivative of 23*r**7/105 + r**5/20 - 33*r**2. What is the third derivative of u(b) wrt b? 1104*b Differentiate 3 - 9*x + 5*x - 12*x**2 + 4*x wrt x. -24*x Let m = 8 - 2. Let i(t) be the third derivative of 1/105*t**7 + 0 + 0*t**5 + 0*t**3 + 0*t**m + 1/12*t**4 - t**2 + 0*t. Find the second derivative of i(u) wrt u. 24*u**2 Suppose -4 = -0*k + 2*k. Let q be 6*(k/6 - -1). What is the second derivative of -v + q - 4 - 2*v**2 wrt v? -4 Let b(u) be the first derivative of 2*u**5/5 + 10*u**3 + 15. What is the third derivative of b(t) wrt t? 48*t Let o(j) be the second derivative of -3*j**8/7 + 13*j**4/12 - 27*j. What is the third derivative of o(p) wrt p? -2880*p**3 Let k(p) = -p**3 + p. Let j(d) = -12*d**3 + d**2 + 13*d. Suppose 5*y = 3*y + 12. Let r(n) = y*j(n) - 78*k(n). Find the third derivative of r(z) wrt z. 36 Let p be 2*(18/4 - 2). Let f(i) = -5*i - 6. Let b(h) = 6*h + 7. Let v(m) = p*f(m) + 4*b(m). What is the derivative of v(j) wrt j? -1 Suppose
{ "pile_set_name": "DM Mathematics" }
2. Let p be m(-2). Let a(g) = -g + 12 - 3*g + 6*g. Let c be a(9). Calculate the greatest common divisor of p and c. 6 Suppose -786 = 6*h - 3612. Let w be ((-12)/16)/3 - h/(-12). What is the highest common divisor of w and 195? 39 Let q = -33 + 35. Suppose -3*f + 25 = -2*n, 26 = q*f + 4*n - 3*n. Calculate the greatest common divisor of f and 88. 11 Let w be 2/(-12) - ((-16494)/36 - 1). Calculate the highest common factor of 51 and w. 51 Suppose -477*k + 474*k + 252 = 0. What is the greatest common divisor of 189 and k? 21 Suppose 3*f = -s + 31, 2*s + 0*s - 22 = 2*f. Let k = s + -8. Calculate the greatest common divisor of k and 4. 4 Let j = 5 + 19. Let r = -359 - -455. Calculate the greatest common divisor of j and r. 24 Let a(l) = l**3 - 6*l**2 + 3*l - 10. Suppose 4*y - 3*m - 41 = -5, -3*y + 4*m = -34. Let j be a(y). Calculate the highest common factor of 2 and j. 2 Let r(s) = 8*s + 19. Let z(w) = -w**2 - w + 1. Let j(a) = -r(a) - z(a). Let g be j(12). What is the highest common factor of g and 16? 8 Let a(r) = -35*r**3 + 2*r**2 + r. Let p(m) = m**3 - m - 1. Let w(x) = a(x) + 2*p(x). Let s be w(-1). Calculate the greatest common factor of 306 and s. 34 Let l = 3 + -1. Suppose -4*h = -4*p - 8, 0 = -5*h + 3*p - 0*p + 16. Let w be (-1 - 2)/(-3) + h. Calculate the greatest common divisor of l and w. 2 Let w be (350*-1)/(-2) + -6. Calculate the highest common divisor of w and 13. 13 Let x be 2/4*(1020 + 8). Suppose 0 = l - 5*g - 160, 3*g = 5*l - x - 242. Let o = 20 - -10. What is the highest common divisor of l and o? 30 Let t(n) = 3*n + 318. Let m be t(-12). Calculate the greatest common factor of m and 6. 6 Suppose -o - v - v - 20 = 0, -3*v + 48 = -5*o. Let a be 1/(-4) + (363/o)/(-1). What is the highest common factor of a and 75? 15 Let r(s) = s + 36. Let o be r(13). Suppose 3*b = 5 + o. Calculate the greatest common divisor of b and 162. 18 Suppose -21*m + 7*m = -18270. What is the greatest common factor of 30 and m? 15 Let f(m) = -38*m**3 - 2*m**2 - 4*m - 3. Suppose r + r + 1 = -w, 5*r + 2 = -2*w. Let n be f(w). What is the highest common divisor of 333 and n? 37 Let v = -1 - -5. Let f be ((-41)/(-2))/(v/8) + 3. Calculate the highest common factor of 11 and f. 11 Let g = -25 - -18. Let a(d) = d**3 + 8*d**2 + 2*d - 8. Let t be a(g). Suppose -9*l + t = -6*l. Calculate the greatest common divisor of 63 and l. 9 Let g = -105 - -107. Calculate the highest common factor of 2 and g. 2 Let m = -43 - -73. Suppose 0 = -w + 3*w - m. Calculate the highest common factor of 3 and w. 3 Suppose 4*q + 32 - 24 = 0. Let c be ((1 - -21) + -1)*q/(-6). What is the greatest common divisor of 21 and c? 7 Suppose 0 = -2*h - 111 - 13. Let j = 86 + h. What is the greatest common factor of 6 and j? 6 Suppose -z = -2*i + 14 - 0, -3*i = 4*z + 1. Suppose c - i + 3 = 0. Let r be 104/c + 3 + 0. What is the highest common factor of 5 and r? 5 Let c(x) = -22 - 2*x + 22 + 8*x**2. Let m be c(3). Suppose 0 = -3*g + 5*d + 178, -6*d - m = -g - d. Calculate the greatest common factor of g and 8. 8 Let r be (-285)/38*(-22)/(-3). Let y = 139 + r. Let k = 21 + -9. Calculate the greatest common divisor of y and k. 12 Let h(s) = s**2 - 9*s - 178. Let p be h(-10). Calculate the highest common factor of 87 and p. 3 Suppose 4*i + i - 100 = 0. Let s(f) be the second derivative of -29*f**3/3 - 7*f**2 + 26*f - 2. Let a be s(-3). What is the greatest common factor of i and a? 20 Let f = -98 + 69. Let g = f + 110. Let p = -3 - -12. What is the highest common divisor of p and g? 9 Let m = 6 - -5. Suppose 6 = 2*x + x. Suppose -q + o = 2*q - 37, -5*q - x*o + 47 = 0. What is the highest common divisor of m and q? 11 Let w be ((-4)/(-36) + 0)*3*3. Let d = 148 + -138. What is the greatest common divisor of w and d? 1 Suppose 5*z + 5*q - 5 = 0, -2*z = -z + 3*q + 7. Suppose o - 36 = 19. What is the greatest common divisor of z and o? 5 Let z be -1*-1*(-2)/(-2). Suppose -3 = -3*r, 7*r + 9 = 2*s + 4*r. What is the highest common divisor of s and z? 1 Suppose -l - 4*n = -164, 0 = -3*l + 8*l - 4*n - 748. Suppose 4*o + o + 9 = 2*x, o + 1 = 0. Suppose x*a + a = 57. What is the greatest common divisor of a and l? 19 Let b = 32 - -73. Let j(d) = -2*d**2 + d + 35. Let a be j(0). What is the greatest common factor of a and b? 35 Let r be 415/10*108/9. What is the highest common divisor of 6 and r? 6 Let i be (-85)/(-20) + 1/(-4). Suppose -5*w - 620 = -5*y, -i*y + 2*w = -136 - 352. Let g be (-154)/(-8) + 18/24. What is the greatest common divisor of y and g? 20 Let d = 25 - 21. Suppose 5*b = d*h - 0*b - 110, 5*h + 5*b = 115. Calculate the greatest common divisor of h and 25. 25 Suppose 5*g - 5*b = 220, 2*g + 5*b - 1 = 87. Let i be ((-1)/5*-55)/1. Calculate the greatest common factor of g and i. 11 Let h(d) = d**3 + 6*d**2 + d + 26. Let m be h(5). Calculate the greatest common factor of m and 34. 34 Suppose 33 = -o - 3*j, -3*j = -2*o - 32 + 11. Let u = o + 23. What is the greatest common factor of 10 and u? 5 Suppose 3*s + 0*s = -27. Let o = -7 - s. Suppose 3*z - l - 42 = 0, o*l + 1 = z - 18. What is the highest common factor of z and 13? 13 Let g(s) = 3*s - 11. Let t be g(17). What is the highest common factor of 90 and t? 10 Suppose t + 110 = -4*t. Let y = t - -32. Let w = 17 + -7. Calculate the highest common divisor of w and y. 10 Let h = 102 - 72. Calculate the highest common divisor of 90 and h. 30 Let x = -412 - -426. What is the greatest common divisor of 98 and x? 14 Suppose 0 = -4*n - 2045 - 115. Let v be (9 + -2)*n/(-35). What is the highest common factor of v and 12? 12 Let z = -32 - -40. Suppose -3*y + 4*y = -4*i + 108, 5*y = -3*i + 523. Calculate the greatest common factor of z and y. 8 Suppose 0*t = -5*l - t + 165, -2*l = 3*t - 66. Calculate the highest common factor of 154 and l. 11 Let u be (-5)/((-6)/(90/25)). Suppose l + 323 = 5*p, -u*l - 157 = -4*p + 108. What is the greatest common divisor of p and 8? 8 Let c(x) = -355*x**3 + x**2 + 2*x - 2. Let y be c(1). Let w be 0 + (2 + y)/(-4). What is the highest common factor of w and 8? 8 Let z = -51 + 42. Let f be (232/(-24))/(1/z). What is the greatest common divisor of f and 58? 29 Let f = -366 - -388. What is the highest common divisor of f and 264? 22 Let q = 204 + -168. Calculate the greatest common factor of 24 and q. 12 Let u = 311 - 146. Let j(m) = m**3 + 4*m**2 + 2*m - 2. Let i be j(-2). Suppose -x = i*x - u. Calculate the greatest common divisor of x and 11. 11 Let c be 66/9*(-12)/(-8). Suppose c = 3*p + 2. Suppose -2*z - p*g = -68, -z - 2*g = -7*g - 60. What is the greatest common divisor of z and 8? 8 Suppose 0 = -2*y + 3 + 3. Suppose y*d - l - 144 = 4*l, -d - 4*l = -48. Calculate the highest common factor of d and 12. 12 Let q(v) = 30*v - 1. Let w be q(6). Let r = 263 - w. Let i(p) = -p**3 - 23*p**2 + 22*p - 36. Let x be i(-24). What is the greatest common factor of x and r? 12 Let a = 448 + -332. What is the highest common divisor of a and 87? 29 Suppose -8*a + 2258 + 166 = 0. Let z be a/9 + 2/6. What is the greatest common factor of 17 and z? 17 Let i = -48 + 63. Suppose 5*g + 380 = i*g. What is the highest common factor of 57 and g? 19 Suppose 6*p - 232 = 2*p. Suppose 0 = i + 3*h - p, h + 256 = 5*i - h. Let o be (1/2)/(3/78). What is the highest common divisor of i and o? 13 Let z be ((-34)/6)/((-7)/(-21)). Let o = 25 + z. Calculate the greatest common divisor of o and 32. 8 Let i be 71 + ((-270)/(-81))/(5/6). Calculate the highest common divisor of 345 and i. 15 Let d = 46 - -69. Let x = -98 + d. Calculate the highest common factor of x and 17. 17 Let o(t) = 4*t + 96. Let m be o(-19). Let y = 89 - 9. What is the highest common divisor of m and y? 20 Let w(c) = 13*c**2 - 15*c + 35. Let t be w(2). Calculate the highest common divisor of t and 114. 57 Suppose i = -4*q + 401, -4*q - 5*i + 90 = -315. What is the highest common divisor of 625 and q? 25 Let w = -675 + 1091. What is the greatest common factor of 26 and w? 26 Let c = 35 + 839. Calculate the highest common divisor of c and 38. 38 Let d = -7 + 17. Let y be (1 + 31)/((-12)/(-20)*20/30). What is the greatest common divisor of y and d? 10 Let f be (144/15)/(3/75). Calculate the highest common factor of f and 180. 60 Suppose -5*i - 32 = 43. Let g be (-126)/i + (-2)/5. What is th
{ "pile_set_name": "DM Mathematics" }
54669. 6 Calculate -68325176 divided by -5. 68325176/5 11213475 divided by -65 -172515 Divide 172344618 by -3. -57448206 601699362 divided by 242 2486361 Divide -1671741 by 15. -557247/5 Calculate 870863840 divided by -560. -1555114 Calculate 118426320 divided by 1308. 90540 -172851 divided by 44 -172851/44 Calculate 248213360 divided by 49642672. 5 What is -738701 divided by 38? -38879/2 -6937822 divided by 2 -3468911 Divide -4849 by -4329. 373/333 Divide 35149212 by -25452. -1381 23030550 divided by 18 1279475 What is 2201 divided by 3996? 2201/3996 -122565960 divided by -1782 68780 Divide -15641 by 174. -15641/174 5706656 divided by -2 -2853328 What is -18648178 divided by -18648178? 1 710028536 divided by 4 177507134 Calculate -2772863115 divided by 5. -554572623 What is -27217372 divided by -6? 13608686/3 Divide 222126888 by -193828. -1146 What is -17598384 divided by -8799192? 2 What is -1104000 divided by -44160? 25 Divide 39171800 by -4896475. -8 Divide 112071500 by -76. -1474625 Divide -163024368 by -14122. 11544 Divide 1645110 by -6. -274185 -90544881 divided by 3 -30181627 Divide -41 by 2239057. -41/2239057 Divide 408474992 by 102118748. 4 Divide -108673648 by 241. -450928 Calculate -3372187 divided by -13. 259399 What is -160487 divided by -352? 160487/352 What is 0 divided by 27953? 0 4106638 divided by -1 -4106638 73174 divided by 3696 36587/1848 What is -15 divided by 2377315? -3/475463 85 divided by -869989 -85/869989 Calculate 273085456 divided by 2. 136542728 Divide 32 by 326475. 32/326475 116633 divided by 19 116633/19 Calculate 4 divided by -2252681. -4/2252681 What is 681433 divided by 13? 681433/13 Calculate 91080048 divided by -144114. -632 Calculate 35 divided by 86479. 35/86479 Calculate -56 divided by -100716. 2/3597 Calculate -1681 divided by -41351. 1681/41351 Divide 3761804 by -1880902. -2 Divide 5 by -169070593. -5/169070593 14311950 divided by -477065 -30 What is 37 divided by -28290168? -37/28290168 Calculate -51135 divided by 22. -51135/22 Calculate 23183034 divided by -6. -3863839 Calculate -100078185 divided by 3. -33359395 38286381 divided by 14217 2693 Calculate -28 divided by -2095238. 14/1047619 455421654 divided by -6 -75903609 Divide -600438624 by 1. -600438624 Calculate -410430809 divided by -4591. 89399 Calculate -102815616 divided by 3212988. -32 Divide -3 by -30685122. 1/10228374 Calculate -32 divided by -2746513. 32/2746513 Divide -18136658 by 9068329. -2 Calculate 981 divided by -634398. -327/211466 What is -101952 divided by 483? -33984/161 What is 2943 divided by -1211? -2943/1211 Divide -40369777 by 9257. -4361 Divide 358700958 by 198. 1811621 What is -33 divided by 65231? -33/65231 50268900 divided by -380825 -132 Calculate 575579574 divided by 6. 95929929 Divide -1287 by 424. -1287/424 -172787158 divided by 3 -172787158/3 What is 671532 divided by 2? 335766 What is 46594816 divided by -1456088? -32 -26782245 divided by 5 -5356449 What is -162511 divided by -163? 997 Calculate 142023964 divided by 71011982. 2 Divide -7224957 by -1. 7224957 -17807209 divided by -3 17807209/3 -43849 divided by 33 -43849/33 Calculate 15175558 divided by -25. -15175558/25 What is -2472234 divided by -80? 1236117/40 What is 1378188 divided by -207? -153132/23 Calculate -14910349 divided by -21. 14910349/21 What is -4 divided by 7554203? -4/7554203 -5 divided by -346375345 1/69275069 -6991148 divided by 4 -1747787 55222230 divided by 105 525926 -19 divided by 168631 -19/168631 What is 143 divided by 797108? 11/61316 Calculate -3 divided by -24117652. 3/24117652 Calculate 6987630 divided by -1558. -4485 What is 1 divided by -90178457? -1/90178457 Calculate -10360 divided by 418. -5180/209 What is 1597058 divided by -10? -798529/5 Calculate 23138640 divided by -1542576. -15 What is -15674481 divided by -5? 15674481/5 Divide -19255 by -336. 19255/336 Divide -42225586 by -2483858. 17 What is -3 divided by 99844? -3/99844 1 divided by -13195026 -1/13195026 -775 divided by -8464 775/8464 2 divided by 1033454 1/516727 What is 2470130 divided by -190010? -13 Divide -753111644 by -62. 12146962 -57 divided by 142931 -57/142931 What is -26994608 divided by -45599? 592 What is -356378522 divided by -2? 178189261 -278151064 divided by 1198927 -232 -8570116 divided by -33 8570116/33 Divide 12143504 by -4. -3035876 1 divided by -2452153 -1/2452153 297260 divided by 21 297260/21 -3012750 divided by -1004250 3 Divide -25523536 by -28234. 904 What is -383909 divided by -383909? 1 Calculate -181539624 divided by 856. -212079 Divide -3584388 by 7562. -474 Calculate -9 divided by 5756606. -9/5756606 What is -700 divided by -1064? 25/38 -77463828 divided by 41782 -1854 Divide -2 by 3264917. -2/3264917 What is 3681886 divided by 3681886? 1 Calculate 2416 divided by -632. -302/79 What is 29415960 divided by 2835? 10376 What is 5119192 divided by 52? 98446 -7805652 divided by 3902826 -2 -9 divided by 2979774 -1/331086 Divide 1 by 1303913. 1/1303913 18 divided by 1009602 1/56089 Divide -57536465 by -4123. 13955 Calculate 1097239 divided by -13. -84403 Calculate -3071294 divided by 6. -1535647/3 13683768 divided by -81451 -168 Divide -73634022 by 66. -1115667 What is -1 divided by 16799089? -1/16799089 What is 8499 divided by 25338? 2833/8446 -361794670 divided by -2 180897335 45 divided by -235429 -45/235429 258 divided by 2208149 258/2208149 Calculate -8243670 divided by -1. 8243670 3 divided by -67747468 -3/67747468 Divide 7 by -4853904. -7/4853904 Calculate -24986234 divided by 658. -37973 What is -28426000 divided by -4880? 5825 What is 139 divided by 43891? 139/43891 Calculate 1575072010 divided by -315014402. -5 What is -52541 divided by 1539? -52541/1539 Divide 166 by 200109. 166/200109 Divide -5379228 by -5379228. 1 -1598009448 divided by 6 -266334908 Calculate 21297570 divided by 105. 202834 -48588634 divided by 1 -48588634 Divide 11984896 by 5852. 2048 0 divided by 1046359 0 Divide 24774 by 20513. 24774/20513 What is -704698896 divided by 16? -44043681 Divide 3511870 by 1. 3511870 Calculate 270088 divided by -56. -4823 Calculate -42588015 divided by 3. -14196005 -28041 divided by 507 -719/13 Calculate -106679844 divided by 12. -8889987 What is -10565220 divided by 6? -1760870 -8908776 divided by 2 -4454388 Divide 22360176 by -48. -465837 840 divided by -211 -840/211 Divide -478542506 by 478542506. -1 Calculate -20678616 divided by 4. -5169654 What is -4 divided by 53719? -4/53719 What is -957 divided by 13601? -33/469 956332 divided by 141 956332/141 Divide 76317000 by 4. 19079250 Calculate -5058482 divided by 506. -9997 -534666960 divided by 180 -2970372 What is 1 divided by 6390902? 1/6390902 What is -738583 divided by -7? 738583/7 Calculate -40990400 divided by -1507. 27200 What is -15781 divided by -4032? 15781/4032 What is -1361364 divided by 8301? -164 Divide 1573 by -89266. -1573/89266 What is 1 divided by -2335700? -1/2335700 27233873 divided by -7 -27233873/7 Calculate 16346457 divided by -3. -5448819 Divide -28342444 by 7085611. -4 -123 divided by -352550 123/352550 What is -133154045 divided by 1583? -84115 What is 20790000 divided by -192500? -108 Calculate 12053700 divided by -241074. -50 What is 830510450 divided by 26726? 31075 Divide -427107582 by 142369194. -3 Calculate -171779762 divided by -24539966. 7 What is -45962894 divided by -62? 741337 Calculate -709687485 divided by 78854165. -9 What is -625385 divided by -10? 125077/2 Calculate -89347395 divided by 1. -89347395 Divide 287 by -3551. -287/3551 Calculate -154275020 divided by -5. 30855004 What is 2091053 divided by 28? 2091053/28 What is 53407970 divided by -998? -53515 What is -1294810 divided by -745? 1738 Divide 651 by 337662. 217/112554 9710100 divided by 13 9710100/13 What is 145597167 divided by 48532389? 3 What is 394544178 divided by -217021? -1818 Calculate -4 divided by -206613577. 4/206613577 Divide 353382 by -34. -176691/17 14948192 divided by -133466 -112 What is -2556 divided by -11149? 2556/11149 Divide -19 by 797970. -19/797970 What is -17838 divided by 5627? -17838/5627 Calculate -465548760 divided by 120. -3879573 Calculate 28 divided by -386881. -28/386881 Divide 99882 by 49. 99882/49 Divide 37920736 by -574. -66064 Divide -106876 by
{ "pile_set_name": "DM Mathematics" }
o**4 Let k(c) = 4*c**2. Let z be 2*-1 - 6*-1. Let u(i) = -4 + z - i. Calculate u(k(m)). -4*m**2 Let w(h) = -29*h**2. Let t(x) = -10*x. Calculate w(t(p)). -2900*p**2 Let b = -6 + 9. Let p(m) = b*m**2 - 3*m**2 - 5*m**2. Let f(o) = -o + 4*o - o + 0*o. Determine p(f(g)). -20*g**2 Let n(a) = 2*a**2. Let p(j) = j. Suppose 0 = -x - 3*x - 64. Let m(w) = 24*w. Let t(c) = x*p(c) + m(c). Determine n(t(v)). 128*v**2 Let t(f) be the third derivative of 0 + f**2 + 0*f + 1/12*f**4 + 0*f**3. Let i(b) = 1 - 1 + 3*b**2. Calculate i(t(l)). 12*l**2 Suppose 3*w = 3*s - w - 16, s + w = -4. Let t(u) be the third derivative of 1/30*u**5 + 0 + s*u**3 + 0*u**4 - u**2 + 0*u. Let i(d) = 3*d**2. Calculate t(i(y)). 18*y**4 Let w(v) = -11*v. Let d(y) = 2*y + 14. Give d(w(k)). -22*k + 14 Let a(z) = 3*z. Let o(h) = 756 - 756 + 7*h**2. Calculate o(a(t)). 63*t**2 Let y(o) = 4*o**2. Let g(i) = 45*i. Determine y(g(a)). 8100*a**2 Let h = 5 - 2. Let q(n) = h*n - n - 5*n + 2*n. Let d(v) = 3*v. Calculate q(d(b)). -3*b Let q(x) = -2*x**2 - 5*x - 5. Let s(g) = -g**2 - 3*g - 3. Let r(w) = 3*q(w) - 5*s(w). Let f(y) = -83*y. Calculate r(f(d)). -6889*d**2 Let v(y) be the second derivative of y**3/3 - y. Let i(b) be the third derivative of b**5/20 - b**2. Determine i(v(h)). 12*h**2 Let u(p) = p. Let v(n) = -88*n. Determine u(v(m)). -88*m Let s(h) = -205*h + 1. Let f(c) = -5*c**2. Give f(s(m)). -210125*m**2 + 2050*m - 5 Let n(c) = -4*c + 2. Let l(o) = -2*o. Give l(n(s)). 8*s - 4 Let c(w) = w + 2. Let f(j) = 2*j**2 + 5*j + 5. Let y(k) = k**2 + 3*k + 3. Let x(b) = 3*f(b) - 5*y(b). What is x(c(a))? a**2 + 4*a + 4 Let m(s) = 13*s**2. Let v(t) = -4*t. Give m(v(h)). 208*h**2 Let k(v) = 19*v - 5. Let c(m) = 33*m - 12. Let i(d) = -16*d + 6. Let j(t) = 3*c(t) + 5*i(t). Let b(l) = 5*j(l) - 6*k(l). Let z(f) = -2*f**2. What is b(z(w))? 38*w**2 Let a(o) = -58*o - 2. Let k(f) = 14*f. Give a(k(v)). -812*v - 2 Let t(h) = 6*h. Let g(c) = 34*c - 13*c - 8*c - 5*c. Calculate t(g(u)). 48*u Let f(v) = 2*v**2. Let n(i) = -10*i**2 + 4*i. Let w(p) = 11*p**2 - 3*p. Let g(h) = 3*n(h) + 4*w(h). Determine g(f(l)). 56*l**4 Let k(x) = -790*x - 2*x**2 + 790*x. Let u(o) = -45*o. What is k(u(v))? -4050*v**2 Let y(k) = -33*k - 1. Let l(x) = 4*x**2 - 3. What is l(y(j))? 4356*j**2 + 264*j + 1 Let m(k) be the second derivative of -1/12*k**4 + 0*k**2 + 0 + k + 0*k**3. Let c(r) = 0*r + 0*r - r. What is c(m(v))? v**2 Let c(k) = -37*k**2. Let o(i) = -8*i + 11. Let t(x) = 3*x - 4. Let m(z) = 4*o(z) + 11*t(z). What is m(c(f))? -37*f**2 Let s(w) = 69*w. Let q(o) = -35*o. Let v(y) = 5*q(y) + 2*s(y). Let j(t) = -2*t**2. Give v(j(x)). 74*x**2 Let s(g) = 286*g**2 + 91*g + 91. Let r(y) = 19*y**2 + 6*y + 6. Let x(q) = -91*r(q) + 6*s(q). Let t(k) = 2*k. Determine t(x(m)). -26*m**2 Let i(u) = -u. Suppose 4*z + 2*a - 27 = z, 0 = z + 3*a - 2. Let k(l) = -z*l - 5*l + 9*l - 6*l. Determine i(k(y)). 13*y Let k(w) = -2*w**2. Let x(u) = 6939*u**2. Give x(k(d)). 27756*d**4 Let b(l) = -5*l. Let n(c) = -30*c - 1. Give n(b(y)). 150*y - 1 Let u(j) = j**2. Let n(t) = -1049*t. Calculate u(n(g)). 1100401*g**2 Let r(s) = 2*s**2. Let k(t) = -t - 2*t + 2*t. Let f(x) = -x**2 + 5*x. Let a(w) = f(w) + 5*k(w). Calculate r(a(q)). 2*q**4 Let v(k) = -3*k**2. Let c(r) = 78*r**2 - 1. Give c(v(o)). 702*o**4 - 1 Let i(y) = 7*y + 28. Let j(b) = -3*b**2 - 6. What is j(i(h))? -147*h**2 - 1176*h - 2358 Let b(g) = -2*g. Let m(a) = 699*a**2. Calculate b(m(w)). -1398*w**2 Let f(b) be the second derivative of -b**4/6 + 8*b. Let s(n) = 9*n. Determine s(f(g)). -18*g**2 Let k(d) = 6*d**2. Let t(x) = 1022*x. Calculate k(t(a)). 6266904*a**2 Let q(l) be the third derivative of 29*l**4/24 + 49*l**2. Let o(y) = 4*y. Calculate o(q(x)). 116*x Let q(f) = -3*f. Suppose -n - 58 = 5*j, -j + 3*n = -3 + 5. Let m(i) = 5*i. Let l(h) = j*q(h) - 6*m(h). Let v(g) = -6*g**2. Give l(v(c)). -18*c**2 Let y(x) = x. Let n(s) = -3 + 4*s - 2*s - 6*s - 2. Let h(l) = l + 1. Let v(i) = -5*h(i) - n(i). Calculate y(v(p)). -p Let c(g) = -6*g**2. Let j(r) = -7*r - 5. Determine j(c(m)). 42*m**2 - 5 Let i(o) = 5*o**2 - 6*o**2 - 5*o**2. Let c(q) = -17*q. Let y(t) = 8*t. Let b(x) = 6*c(x) + 13*y(x). What is b(i(v))? -12*v**2 Let r(c) = -c + 3. Let d(k) = -k**3 - 7*k**2 + 8*k - 3. Let i be d(-8). Let s(y) = 1. Let a(u) = i*s(u) + r(u). Let v(b) = 11*b. Calculate a(v(h)). -11*h Let t(h) = -13*h - 3. Let z(f) = -220*f - 50. Let m(d) = -50*t(d) + 3*z(d). Let j(w) = 2*w. Determine m(j(g)). -20*g Let o(y) = 3*y + 2*y - 3*y. Let z(k) be the second derivative of -k**7/840 + 7*k**4/12 - 12*k. Let b(f) be the third derivative of z(f). Determine o(b(a)). -6*a**2 Let r(g) = g. Let k(x) = 2*x + 2. Let j(l) = 10*l + 11. Suppose 0 = 4*p - 0*p. Let u = p - -11. Let y(a) = u*k(a) - 2*j(a). Calculate r(y(h)). 2*h Let f(p) = p**2. Let l(h) = -3*h**2. Let k(w) = -4*f(w) - 2*l(w). Let q(o) = -1 - 2 - o - o. Let j(z) = z + 2. Let m(v) = -3*j(v) - 2*q(v). Calculate k(m(b)). 2*b**2 Let b(u) = -7670*u. Let w(z) = -2*z. What is b(w(l))? 15340*l Let d(z) = 2*z. Let y(u) = 7*u + 19*u - 44*u. Determine d(y(s)). -36*s Let p(k) = -9*k + 9*k - k + 0*k. Let g(w) = -4 + 4 - 3*w. What is g(p(x))? 3*x Let c(x) = -x. Let l(d) = -d**2 + 3*d + 3. Let g(b) = 2*b**2 - 7*b - 7. Let w(k) = 3*g(k) + 7*l(k). Determine c(w(h)). h**2 Let c(p) = -7*p - p + 12*p. Let b(w) = -3*w**2. Calculate c(b(j)). -12*j**2 Suppose -2*s + 5*s - 6 = 0. Let k(a) = 3*a + a + a**s - 4*a. Let g(j) = 6*j. What is k(g(f))? 36*f**2 Let t(m) = 6*m. Let v(k) = -67*k. Calculate v(t(b)). -402*b Let l(q) = q. Let a(x) be the second derivative of 0 + 0*x**2 + 2/3*x**3 + 5*x. Calculate l(a(n)). 4*n Let m = 4 + -8. Let o = -2 - m. Let a(i) = i**o - i**2 - i**2. Let l(h) = 3*h**2. What is a(l(z))? -9*z**4 Let a(k) be the third derivative of k**5/60 - k**3/2 + 4*k**2. Let h(z) be the first derivative of a(z). Let g(y) = -3 + 3 - y. Determine h(g(f)). -2*f Let a(i) = 6*i + i - 9*i + 4*i. Let k(o) = -5*o - 11. Let b(y) = y + 2. Let p(s) = -22*b(s) - 4*k(s). Determine a(p(j)). -4*j Let t(n) = -2*n**2. Let a(d) = -2*d + 68. Give t(a(v)). -8*v**2 + 544*v - 9248 Let t(x) = -9*x. Let a(u) = -3*u - 5. Let l(k) = -4*k - 1. Let y(v) = 12*v + 2. Let r(b) = 16*l(b) + 5*y(b). Let z(p) = 6*a(p) - 5*r(p). Give t(z(i)). -18*i Let i(s) = s**2. Let z(v) be the third derivative of -2*v**2 - 1/24*v**4 + 0*v**3 + 0*v + 0. Calculate i(z(u)). u**2 Let g(y) be the second derivative of 1/2*y**3 - 3*y + 0*y**2 + 0. Let k(s) = 13*s + 9. Let x(p) = -6*p - 4. Let v(c) = 4*k(c) + 9*x(c). What is g(v(i))? -6*i Let b(q) = 24*q**2. Let o(c) = 3*c + 10*c - 12*c. Determine b(o(u)). 24*u**2 Let k(i) = 7*i**2 - 3*i**2 - 3*i**2. Suppose 0*r - 4 = -r. Let n(b) = b - 4. Let g(w) = -w + 1. Let d(h) = r*g(h) + n(h). Give k(d(l)). 9*l**2 Let f(c) = 390*c - 390*c - c**2 + 3*c**2. Let a(k) = 6*k. Calculate a(f(p)). 12*p**2 Let b(d) = -d. Let s(m) = -5*m. Suppose 0 = -4*o + 4. Let j(q) = o*s(q) - 4*b(q). Let k(l) = 5 - 1 - 4 + l. Determine k(j(v)). -v Suppose -3*a - 2 = -8. Let u(y) = y**2 - 4*y**a + y**2 + 0*y**2. Let x(v) = 4*v**2. Determine u(x(r)). -32*r**4 Let z(i) = -3*i. Let b(d) be the third derivative of -5*d**4/12 + 5*d**2. Calculate z(b(f)). 30*f Let x(q) be the second derivative of -1/6*q**3 - 4*q + 0 + 0*q**2. Let y(n) = 4*n**2 - 3. Let u(p) = -1. Let d(v) = -3*u(v) + y(v). What is d(x(m))? 4*m**2 Let b(y) be the third derivative of y**5/20 + y**2. Suppose 1 = t - 1. Let i(f) = f - f - 2*f**t. Determine b(i(n)). 12*n**4 Let f = -7 + 4. Let v = 5 + f. Let x(h) = 0*h - h**v + 0*h. Let y(b) = -b**2. Calculate y(x(u)). -u**4 Let d(v) be the second derivative of v**4/6 + 2*v. Let w(p) = p**2 + 7*p - 6. Let s be w(-8). Let j(r) = r**2 + s*r**2 - 2*r**2. Determine d(j(x)). 2*x**4 Let t(z) = z**2. Suppose -2*i = -5*i. Let m(o) = -1 + 1 + i - 5*o. Calculate m(t(b)). -5*b**2 Let g(x) = 2*x**2. Let r(y) = 5*y**2 - 7*y**2 - 5*y**2. Give g(r(u)). 98*u**4 Let z(p) = 2*p**2. Let d(h) be the third derivative of h**6/360 + h**3/3 - h**2. Let g(s) be the first derivative of d(s). Calculate z(g(x)). 2*x**4 Let o(b) = -b. Let d(c) = 2*c. Let p(g) = -2*d(g) - 2*o(g). Let t(v) = -43*v. Determine t(p(w)). 86*w Suppose 3*v = -6 + 15, 2*v - 6 = -5*f. Let t(i) = 2*i + f + 0 - i. Let a(h) = 6*h - 5. Let x(p) = 7*p - 6. Let n(d) = 6*a(d) - 5*x(d). Give n
{ "pile_set_name": "DM Mathematics" }
). What is the highest common divisor of 225 and q? 25 Let g = -6698 - -11466. Let q be g/88 + (-2)/11. Calculate the greatest common divisor of q and 135. 27 Let y be 4/(-6)*(-3)/(-2). Let k be (-1)/(y - 196/(-198)). What is the highest common divisor of 11 and k? 11 Let b(p) = 2*p - 6. Let v be b(4). Suppose -4*j - 5*r = -16 - 49, v*j - 4*r - 26 = 0. Calculate the highest common divisor of j and 60. 15 Suppose -3*i + 1 - 10 = 0, 0 = 4*z + i - 9. Suppose z*o = 29 + 7. Let c = 4 + 0. What is the greatest common divisor of o and c? 4 Suppose -16 = -h - 2*j - 0, -6 = 3*j. Calculate the greatest common factor of h and 100. 20 Let f be 90*(3 + 20/(-12)). Calculate the greatest common divisor of f and 48. 24 Suppose -4 = -3*p + 17. Let j = p - -10. Suppose 3*i - 594 + 135 = 0. Calculate the greatest common factor of j and i. 17 Let p be (-5)/10 + (-302)/(-4). Calculate the highest common factor of 15 and p. 15 Suppose 3 = k + 4*m, 6*m - m + 5 = 0. Let v be 36/4*(-4)/6. Let r = v - -13. Calculate the highest common divisor of r and k. 7 Suppose -j - 22 = -h - 217, j = -h + 205. Calculate the highest common factor of 25 and j. 25 Suppose t - 110 = -4*t. Let n = -8 - -3. Let c(r) = -r**3 - 4*r**2 + 3*r + 1. Let m be c(n). Calculate the greatest common divisor of m and t. 11 Let w = 49 + -21. What is the greatest common divisor of w and 7? 7 Let p = 65 + -37. Calculate the highest common divisor of 4 and p. 4 Suppose w = 5*c + 3*w - 47, 59 = 5*c - w. Calculate the highest common factor of 77 and c. 11 Let t(n) = n**2 + 3*n**2 + n**2 + 6*n - 6*n**2 + 2. Let h be t(6). Calculate the greatest common divisor of 8 and h. 2 Let o = 68 - 43. What is the highest common divisor of 225 and o? 25 Suppose -2*u = 3*u + 4*r - 116, 0 = -5*u + 4*r + 124. Calculate the greatest common factor of u and 8. 8 Let l be (1 + 51/(-6))*2/(-5). Suppose 115 = -5*f - 50. Let t be f/(-12) - (-1)/4. Calculate the highest common factor of l and t. 3 Let r = -4 + 3. Let d(y) = -5*y + 1. Let i be d(r). Let h be (21/i)/(2/4). Calculate the greatest common divisor of 28 and h. 7 Let k be (10/(-2))/(-1 - 0). Let w(h) = h**2 + 6*h - 17. Let a be w(-9). Calculate the highest common factor of a and k. 5 Let z = 10 + -6. Let m = -11 - -15. What is the greatest common factor of z and m? 4 Let b(s) = 8*s**2 - s. Let i be b(-1). What is the greatest common factor of i and 45? 9 Let y(v) = -v + 3. Let a(d) = -4*d + 9. Let w(t) = -2*a(t) + 7*y(t). Let c be w(3). What is the greatest common divisor of c and 18? 6 Let t = 6 - 4. Let b = -12 + 13. Calculate the highest common divisor of t and b. 1 Let m be (-30)/20 + (-39)/(-2). What is the greatest common divisor of 27 and m? 9 Let i(l) = l**3 - 3*l**2 + 2*l - 3. Let t be i(3). Suppose -7 + 1 = -3*h. Suppose t = z + h. Calculate the highest common factor of z and 9. 1 Suppose 2*q + 32 = 2*s, -3*s - 11 = -5*q - 51. Calculate the greatest common factor of s and 30. 10 Let w = -6 - -42. Calculate the highest common divisor of w and 60. 12 Let n(w) = w**3 + 7*w**2 + 7*w + 6. Let x be n(-6). Suppose -6*s + s + 80 = x. Calculate the highest common factor of 16 and s. 16 Let j be ((-9)/(-12))/((-3)/(-12)). Suppose 4*p - j = -a, 0 = 4*a + p + 3*p. Let r = 0 - a. Calculate the greatest common divisor of r and 3. 1 Let h be 16/72 - (-32)/18. Let i(r) = 2*r - 3. Let a be i(h). What is the greatest common factor of a and 1? 1 Let f = 90 + -83. What is the greatest common factor of f and 14? 7 Suppose 156 - 36 = 3*k. Calculate the highest common divisor of k and 48. 8 Let d(r) = r**3 - 4*r**2 + 11*r - 4. Let w be d(7). Suppose j + 3*j - w = 4*v, -5*j + v + 275 = 0. What is the highest common divisor of j and 5? 5 Suppose 5*q + 10 - 460 = 0. Suppose r = -15 + q. What is the highest common factor of r and 15? 15 Let x(b) = -b + 7. Let f be x(-4). What is the greatest common factor of f and 11? 11 Let a(o) = -o**3 + 9*o**2 - 11*o + 9. Let c be a(7). Let b(n) = -n**2 + 7*n - 6. Let r be b(3). What is the highest common divisor of r and c? 6 Suppose 0*n = 4*n - 16. Let u be n*(-4)/(-16) - -4. What is the highest common factor of u and 15? 5 Suppose -5*c + 105 = -2*a, -a = -5*c - 5*a + 135. Calculate the greatest common factor of c and 69. 23 Let u(k) = k**3 - 7*k**2 + 7*k + 7. Let g be u(7). What is the greatest common divisor of g and 8? 8 Suppose -4*p + 49 = 9. Let k(w) = -w**2 + 2. Let a be k(2). Let h = 4 + a. Calculate the greatest common divisor of h and p. 2 Suppose 3*m + 2*m + 80 = 5*d, 2*d + 3*m = 12. Calculate the greatest common divisor of 90 and d. 6 Let w be 6/(-3) + 3 - -20. What is the greatest common factor of w and 3? 3 Let g(b) = -b**2 - 16*b - 17. Let z be g(-14). Calculate the greatest common factor of z and 44. 11 Let a(o) = 7*o - 40. Let z be a(6). Let j be (-1)/(-2) - (-2)/(-4). Suppose b + 0*b - 22 = j. What is the greatest common divisor of b and z? 2 Let p be (11/2)/((-12)/(-24)). Let y = 22 + 0. What is the greatest common divisor of y and p? 11 Let f = 14 + -7. Let r(m) = 2*m - 7. Let g be r(7). Calculate the greatest common divisor of g and f. 7 Suppose -9 = 3*y, -4*o - o - 5*y + 5 = 0. Suppose 2*n = o*n - 4. Suppose 3*h - 11 = n*t, -3*t = 2*t + 5. What is the highest common divisor of h and 3? 3 Let d be 5*(3 + (-11)/5). Suppose -d*l = -0*l - 396. Let q be 1 + (7 - (-1 - 0)). Calculate the highest common factor of l and q. 9 Let t(g) = -6*g + 1. Let j be t(3). Let h = 32 + j. Calculate the highest common divisor of 75 and h. 15 Let c(p) = -2*p. Let z be c(-1). Let j be -111*(z + 15/(-9)). Let i = j - -57. What is the greatest common factor of i and 20? 20 Suppose 3*d - 2*d = 1. Suppose 0 = -0*x - 3*x + 6. What is the highest common factor of d and x? 1 Suppose 124 = 13*p - 97. Calculate the greatest common divisor of p and 17. 17 Suppose -6*i + 4*i + 12 = 0. Let g(v) = -v**2 - 6*v - 2. Let w be g(-4). What is the greatest common divisor of i and w? 6 Suppose 123 + 33 = 3*s. Suppose 2*t = 8 + 2. Suppose -2*c + 36 = t*r, -3*r + 39 = -5*c + 98. Calculate the highest common divisor of c and s. 13 Let v(n) = n - 5. Let o be v(5). Suppose o = -y - 2 + 6. Let f = y + 9. Calculate the highest common divisor of 39 and f. 13 Let n be (-1*38)/(-1 - 1). Let w = 34 - n. Calculate the highest common factor of w and 120. 15 Let k be (1 - 11) + (-26)/(-13). Let c = -2 - k. What is the greatest common divisor of 4 and c? 2 Let z = -270 + 630. What is the greatest common divisor of z and 40? 40 Let k be (-2)/(-4) + ((-804)/(-8) - -5). What is the highest common divisor of k and 53? 53 Let a(n) = 3*n + 0*n - 14 + 6. Let b be a(6). What is the highest common divisor of 40 and b? 10 Let a(u) = 60*u - 30. Let i(t) = 6*t - 3. Let c(g) = -2*a(g) + 21*i(g). Let q be c(7). What is the greatest common divisor of 13 and q? 13 Let q = 12 + -20. Let p(n) = -n**2 - 10*n - 11. Let b be p(q). What is the greatest common factor of b and 25? 5 Let r(f) = -f**2 + 8*f + 48. Let i be r(0). Suppose v = 2*v. Let j = 12 + v. Calculate the greatest common divisor of j and i. 12 Suppose -132 = -3*i + i. What is the highest common divisor of i and 6? 6 Suppose -a = 3*g - 4*a - 9, -g + 15 = 3*a. Suppose -v = 3*v + 3*f - 18, -2*v + 14 = 4*f. What is the highest common factor of v and g? 3 Let g(y) = 2*y**2 + 5. Let s be g(6). Let n = 13 + -2. What is the greatest common divisor of s and n? 11 Suppose 4*w - 9*w = -10, 5*q = -2*w + 19. Suppose q*n = 4*z + 1, 2*n - n = 4*z - 13. Calculate the greatest common divisor of 14 and n. 7 Let u(i) = -i**3 + 17*i**2 + 6*i + 3. Let j be u(17). What is the greatest common divisor of j and 15? 15 Suppose -1 = q + a - 8, a - 55 = -5*q. Let f(w) = -w + 9. Let r be f(4). Suppose r*o - 8 = q. Calculate the greatest common divisor of o and 4. 4 Suppose 2*b + 12 = -2*b. Let z be b/(-15) + (-218)/(-10). Suppose -11 - 11 = -a. Calculate the highest common divisor of a and z. 22 Let m(s) = -s**2 - 14*s + 8. Let c be m(-13). Calculate the highest common divisor of 7 and c. 7 Let l = -9 + 21. Calculate the highest common divisor of 96 and l. 12 Let d = 54 - 32. Let f(k) = -4*k - 1. Let q = 3 - 6. Let h be f(q). Calculate the highest common factor of h and d. 11 Let i(u) = -u**2 + 3. Suppose 0 = 3*r - 5*r. Let a be i(r). What is the greatest common divi
{ "pile_set_name": "DM Mathematics" }
k + 2*k**3 + 0*k). -12*k**3 Expand (-2*l - l + 2*l)*(5 - 5 + 2*l) + 15 - 15 - 7*l**2. -9*l**2 Expand 0*h + 3*h - 4*h + 0*h - 2*h + 3*h + (2*h + h - 5*h)*(-10 + 1 + 4). 10*h Expand (-3 + 3 + 2*x)*(-6*x + 4*x - 10*x + (0*x - 2*x + x)*(-3 + 5 + 0) + x + 3*x - 2*x). -24*x**2 Expand -2*y**3 + 2*y - 4*y + 4*y**3 + (-2*y**2 - 2*y**2 + 3*y**2)*(-y + 0*y - 3*y) - 2*y**3 - 2*y**3 + 5*y**3. 7*y**3 - 2*y Expand (-5*q + 2 - 2)*(0*q**3 - 2*q**3 + 0*q**3 + (2*q**2 - 3 + 3)*(-2*q + 4*q - 4*q)). 30*q**4 Expand (-3 + 4 - 4)*(2*k + k - 5*k)*(0 - 2 + 5). 18*k Expand (4 - 2 + 0)*(-2 + 2 + a) - 2*a + 5*a - 2*a + 3*a - 5*a + a. 2*a Expand (3*d + 0 + 0)*(-9 + 6*d + 9) + 2*d**2 + 2*d - 2*d. 20*d**2 Expand (-11*w**2 + 2*w**3 + 11*w**2 + 4*w)*(3*w**2 - w**2 - 4*w**2) + (-w**2 - 2 + 2)*(4*w**3 - 2*w**3 - 3*w**3). -3*w**5 - 8*w**3 Expand -26*a**3 - 428 + 428 + (-a**2 - a**2 + a**2)*(2*a - 2 + 2). -28*a**3 Expand (2*y - 3*y + 2*y)*(4*y - y - y)*(0 + 10 + 0). 20*y**2 Expand -3*n + 413*n**3 + 0*n - 410*n**3 + (n**2 - n + n)*(-1 + 1 + n). 4*n**3 - 3*n Expand (-1 + 4 + 0)*(-5 - 7 + 5 + 3*v). 9*v - 21 Expand (-2*v**2 + 6*v - 6*v)*(0*v + 0*v + v)*(-5 + 3 - 2). 8*v**3 Expand 17*a**3 + 6*a**5 - 17*a**3 + (0 - 2*a**2 + 0 + (0 - a + 0)*(-2*a + 2*a - a))*(2*a**2 - 2*a**3 - 2*a**2). 8*a**5 Expand (2*i + 1 - 1)*(2*i + 1 - 1 + 3 - 3 + i + 2*i + 2*i - 2*i + (-5 - 2 + 5)*(6*i - i - 3*i) - 16 + 9*i + 16). 20*i**2 Expand 14*k - 3*k**2 - 14*k + (k - 2*k + 2*k)*(1 + 2*k - 1) + 4*k**2 + 2*k**2 - 7*k**2. -2*k**2 Expand 0*y - y**2 + 0*y + (-6 - 3 + 2)*(y**2 + 3*y**2 - y**2). -22*y**2 Expand (3*o**4 - 21*o**2 + 21*o**2)*(-3 + 5 + 2)*(-o + 3*o - o). 12*o**5 Expand (-204*c**2 + 100*c**2 + 2*c + 91*c**2 + (-4*c - c + 6*c)*(-3*c + c + 0*c))*(2*c - 2*c + c**2). -15*c**4 + 2*c**3 Expand (4*p + 173*p**5 - 6*p - 181*p**5)*(3 - 2 - 2). 8*p**5 + 2*p Expand (0*v - v**2 + 0*v)*(1 - 1 + 2*v) + 4*v**3 - 3*v**3 - 2*v**3 - 4*v**3 + 4*v**3 - 3*v**3 + (-3*v**2 + 0*v**2 + 5*v**2)*(6*v - 3*v - 2*v). -4*v**3 Expand (-2*c**2 + 3*c**2 + c**2)*(-4*c**2 - 39 + 39)*(1 + 0 - 5). 32*c**4 Expand (5*m**3 - 4*m**3 - 3*m**3)*(194 - 194 + 37*m). -74*m**4 Expand 0*q + 4*q - 6*q - q + q + 2*q + (-2 + 0 + 0)*(q - 4*q + q) - 6*q - q + 2*q. -q Expand (-4 + j + 4 + (7 + 9 - 7)*(3*j + 0*j - 4*j))*(3*j**4 - 3*j**4 + j**4). -8*j**5 Expand (0 - b + 0 + 2*b - 3*b + 2*b + 3*b + 0*b - 2*b + (-b + 0*b - b)*(4 - 4 - 1) + 2*b - 3 + 3)*(-3*b + 2*b + 2*b + 1 - 1 - b + (-3 + 3 - b)*(0 + 0 + 1)). -5*b**2 Expand (-f**3 + 0*f**3 + 5*f**3)*(-2*f + 3*f - 2*f) - 2*f**4 + 0*f**4 + 0*f**4 + 4*f**3 + 2*f**2 - f**3 - f + 4*f**4 - 5*f**3. -2*f**4 - 2*f**3 + 2*f**2 - f Expand (-8*t**2 - 5 + 5)*(3 - 4 - 3 + (5 - 4 + 1)*(-1 + 4 - 1) + 2 + 2 - 5). 8*t**2 Expand 3*n - 3 + 3 + (0*n + 3*n - n)*(1 + 3 - 5) + (5 - 5 - n)*(-1 + 0 + 7). -5*n Expand (-2 + 1 + 0)*(-3 - 2 - 1)*(5 - 5 + m**2). 6*m**2 Expand -6*s + 11*s + 29*s + s - 2*s + 3*s - s + 6*s - 3*s - 3*s + 3*s + 2*s + (-s + 0*s - s)*(-4 - 3 + 5) - s - s + 4*s - 2 + 2 + 2*s. 48*s Expand 7*n**5 - 13*n**5 + 2*n**5 + (5*n**3 - 3*n**3 - 3*n**3)*(-2*n**2 - n**2 + n**2). -2*n**5 Expand (-1 + 1 + 1)*(-v**2 - 3*v + 3*v)*(12*v - 37 + 37). -12*v**3 Expand (-4*w**3 + 2*w**3 + 3*w**3)*((4*w + 0*w - 3*w)*(0*w + 2*w - 3*w) - w - w**2 + w). -2*w**5 Expand (-71 - 3 + 15 - 186)*(p**3 + p**4 - p**3). -245*p**4 Expand (7 - 23 + 7)*(4 - 4*r - 4). 36*r Expand 3*n**3 + 6*n**3 + 32*n**3 + (n - 5*n + 2*n)*(-n**2 + 0*n**2 + 3*n**2) + 4*n**2 + n**3 - 4*n**2. 38*n**3 Expand (i - 2*i - i)*(i**2 + 2 - 2)*(4 + 3 - 5). -4*i**3 Expand (3 + 0*w - 2*w + 0*w)*(0*w**3 + w**3 + w**3). -4*w**4 + 6*w**3 Expand -4*i + 6*i + i - 3*i + i + 0*i + (-5 + 4 + 3)*(-3*i + i + 4*i) - 2*i - 2*i + 5*i + 2*i + 1 - 1 - 3*i + 1 + 0 + 8*i. 13*i + 1 Expand 0*z + 0*z - 2*z + (5*z - 12 + 12)*(1 + 1 - 4). -12*z Expand (-k - k + 3*k)*(-119 + 60 - 78). -137*k Expand (-4*z + z + 5*z + (0*z + 6*z - 4*z)*(4 - 4 - 2))*(3*z**2 - 2*z**2 + 2*z**2) + 0*z**3 + 0*z**3 + z**3. -5*z**3 Expand (3 - 1 - 4)*(0 + 3 - 2)*(-3*w + w + 5*w). -6*w Expand -x - x**3 + 0 + 0 + (-3*x + 3*x - 2*x)*(-1 + 3*x**2 + 1). -7*x**3 - x Expand (-3 + 5 - 4)*(2*b + b - b) + (-4 + 0 + 2)*(-50*b + 28*b + 28*b). -16*b Expand (0 - 1 + 2)*(5 - 6 - 4)*(-15*y**2 - y**2 + y**2). 75*y**2 Expand (18*r - 21*r - 30*r)*(-3*r**4 + 4*r**4 - 3*r**4). 66*r**5 Expand 6*x + 0*x - x + (-2 + 2 - 1)*(-x + 2*x - 4*x). 8*x Expand (h + 2*h**2 - h + (1 - 1 - h)*(-3*h - 2*h + 7*h) - 2*h**2 - 2*h**2 + 3*h**2)*(0*h - 4*h + 3*h)*(-1 - 1 - 7). -9*h**3 Expand (3*n**4 - n**5 - 3*n**4)*((1 + 3 - 2)*(-1 - 3 + 6) - 5 + 4 - 5). 2*n**5 Expand (0 + 2 - 1)*(-3 + 8 - 2)*(-3*q + 2*q + 3*q). 6*q Expand -20*g**2 + 6 + 9*g**2 + 14*g**2 - g + (4*g + 0*g - 2*g)*(-g + 6*g - 4*g). 5*g**2 - g + 6 Expand ((-2 - 1 + 1)*(5 - 1 - 2) + 2 - 1 - 2)*(0 + 0 - 3*x). 15*x Expand (5*o**2 - 4*o**2 + 2*o**2)*(2*o - 7*o + o + (1 + 2 - 1)*(2*o - 5*o + 4*o)). -6*o**3 Expand (-5*j + 4*j + 2*j)*(j**2 + 5*j - 6*j - 4*j**2). -3*j**3 - j**2 Expand (-5 + 8 + 1)*(-r + 2*r + r)*(-1 - 4 + 9). 32*r Expand (2*i**2 - 10*i + 10*i)*(7*i**2 - 11*i + 11*i) - i**3 + i**4 + i**3 + (-1 + 1 - 2*i)*(-3*i**3 + 0*i**3 + i**3). 19*i**4 Expand (2 - 2 - 3*w + (-2 - 2*w + 2)*(-2 - 2 + 0))*(0 + 4 - 5). -5*w Expand -u + u + 22*u**2 - 2*u**2 + 0*u**2 + 0*u**2 + (u - u + u)*(-u - 3*u + 5*u). 21*u**2 Expand (4 - 4 - 3)*(9*o**2 + 7*o**3 - 9*o**2)*(o**2 + o**2 - 3*o**2). 21*o**5 Expand (-j + j + 14*j**2)*(1 - 1 - 2)*(0 + 2 + 0). -56*j**2 Expand 9*n - 9*n + 3*n**2 + (5*n - 2*n + 0*n)*(-5*n + 2*n + n). -3*n**2 Expand (0*f**3 - f**3 + 0*f**3)*(-3*f - 2*f + 3*f)*(-35 + 21*f + 35). 42*f**5 Expand -2*t**2 + t**3 + 2*t**2 - 3*t + (-2 + 2 + 1)*(0*t**3 + 3*t**3 - t**3) + 0*t**3 + t**3 + t**3 + t**3 + t**3 - t**3 + 4 + 2*t**3 - 4. 8*t**3 - 3*t Expand -p**3 + p**3 + 3*p**3 + (2*p + 2*p**2 + 0*p**2 - 4*p)*(2*p + p - 2*p). 5*p**3 - 2*p**2 Expand (3 + j - 3)*(0*j - 2*j + 0*j) + 3*j**2 - 4*j**2 - 3*j**2. -6*j**2 Expand (-52 + 8*p**2 + 52)*(5 + 2*p**2 - 5). 16*p**4 Expand (307 - g - 307)*(-1 + 0 + 4). -3*g Expand (3 + 1 + 1)*((-4*d - d + 4*d)*(0 + 2 + 0) - 3 + 3 - 2*d). -20*d Expand (0*y**2 + 2*y**2 + 0*y**2 - y**2 + 0 + 0 + (2*y + 5 - 5)*(3*y - y + 0*y))*(1 - 1 + 2) - y**2 - 1 + 1. 9*y**2 Expand (2*r**5 - 3*r + 3*r)*(-5 + 2 + 2) - 2*r**5 - 3*r**5 + 4*r**5 - r**5 + 63*r**4 - 63*r**4 - 23*r. -4*r**5 - 23*r Expand 6 + 3*v**2 - 6 - 2*v**2 - v**2 + v**2 + (-3*v**2 - 2*v + 2*v)*(0 + 0 - 2). 7*v**2 Expand 9*x**5 - 3*x**5 - 2*x**5 + (-2 + 2 - 2)*(-2*x**5 + 2*x**5 - x**5) - 3*x**2 + x**5 + 3*x**2 + 2*x**5 + 0*x**3 + 0*x**3. 9*x**5 Expand -6*x**2 + 15*x**2 - 3*x**2 + (-3 + 0 + 2)*(3*x**2 + 2*x**2 - 2*x**2). 3*x**2 Expand ((-u**2 + 4*u**2 - 4*u**2)*(2*u - 2*u + u**2) + 2 - 2 - 5*u**4 - 2*u**4 - 4*u**4 + 3*u**4)*(0*u + 3*u - u). -18*u**5 Expand -v**4 + 3*v**4 - 4*v**4 + (2*v + 0*v + 0*v)*(-v + v**3 + v) + v**4 + 2*v - 2*v + (-3*v**4 + v**4 + v**4)*(0 + 4 - 2). -v**4 Expand (25*v**2 + 4*v**2 - 5*v**2)*(-2 + 2 - v**2). -24*v**4 Expand (-q**2 + 0*q**2 - 2*q**2)*(4 + 2*q - 3*q - 6). 3*q**3 + 6*q**2 Expand (-1 - 2 + 1)*(-2*q + 2*q**2 + 2*q)*(q - 4*q + q). 8*q**3 Expand (-2*u**3 + 3*u**3 + 0*u**3)*(-25*u**2 - 2266*u + 1 + 2266*u). -25*u**5 + u**3 Expand (j**2 - 3*j**2 + 0*j**2)*(-1 + j + 1 + (3 + 1 - 6)*(-2*j + 2*j - 2*j) - j + 2 - 2 - 2 + 2 + 2*j - j + j + 2*j) + 0*j**3 + 0*j**3 + 4*j**3. -12*j**3 Expand (w - 6*w + 4*w)*(14 - 4 + 7). -17*w Expand (3 - 5 - 7)*(-u + 2*u + 0*u)*(-1 - u + 1). 9*u**2 Expand (-2*l + 2*l + 2*l)*(0*l + 0*l + l) - 3*l**2 + 6*l**2 + 0*l**2 - l**2 + 1 - 1 + (2*l**2 + 0*l + 0*l)*(4 + 0 - 3). 6*l**2 Expand (4 - 4 + 1)*(-1 + 5 - 3)*(-105 + 105 + 18*o). 18*o Expand (p**2 - 5*p**2 - 5*p**2)*(-p**2 - p**2 + 3*p**2). -9*p**4 Expand (-2*j + 6 - 3 - 1)*(-5 + 4 + 4) + j + 0*j - 4*j. -9*j + 6 Expand -m**2 - 190 + 190 - 2*m**3 + 9*m**5 + (5*m**4 - 4*m**4 - 3*m**4)*(-m + 5*m - 5*m). 11*m**5 - 2*m**3 - m**2 Expand (-2 + 5 - 2)*(-3*v + 2*v + 2*v)*(-2*v - 2*v - 6*v). -10*v**2 Expand (4 - 5 - 2)*(4 - 3 + 0)*(-3*l**2 + 2*l**2 - l**2). 6*l**2 Expand 9*h**2 - 9*h**2 - h**4 + (2*h + 0*h + 0*h)*(h**2 - h**2 + h**3) - h**4 + 3*h**4 + 0*h**4. 3*h**4 Expand c**4 - 4*c**5 - c**4 - c**5 + c**5 - 3*c**5 + (0*c + 0*c + 2*c**3)*(-4 - 2*c**2 + 4) + c**2 - 2 + c**5 - c**2. -10*c**5 - 2 Expand (0*n**3 - 3*n**3 + n**3)*(-1 + 2 + 6)*(n - n - 2*n).
{ "pile_set_name": "DM Mathematics" }
147. Let g be n(l). Suppose -d + 159 = 3*k, 3*k + 6*d - g = d. Is 27 a factor of k? True Let s(i) = -i + 1. Let m(r) = 26*r - 14. Let u(j) = m(j) + 12*s(j). Is 20 a factor of u(5)? False Let a(p) = -p**3 - 3*p**2 - 3*p**2 - 30*p + 27*p + 2*p**2 + 2. Is 4 a factor of a(-4)? False Let g(j) = -2*j + 38. Let r be g(19). Suppose r = -5*z + 2*p + 515, 4*z = -2*p + 386 + 26. Is 11 a factor of z? False Suppose 168 - 30 = -6*b. Let j = 44 - b. Does 19 divide j? False Let m be -23 + 3/(-1 - 0). Let k(j) = j**2 + 20*j - 12. Does 12 divide k(m)? True Let v = -1410 - -2268. Is v a multiple of 22? True Let v(b) = -b**2 - 5*b + 6. Let d(n) = n**2 + 6*n - 1. Let s be d(-5). Let u be v(s). Suppose -5*o - 4*m + 77 = u, 2*m = -2*o + 6*m + 42. Is o a multiple of 17? True Let o be (3/(-2))/((-30)/(-40)). Is 3 a factor of o - ((-3 - 1) + -27)? False Suppose 4*k - 4*s = -0*k + 20, 4*k + 2*s = 2. Suppose -8 + k = -f. Does 2 divide f? True Suppose 3*c - 19 = 4*v, -5*c - 24 + 64 = -5*v. Let y(b) = b**3 - 12*b**2 - 11*b - 10. Let z be y(c). Suppose 0 = -g - 0 + z. Does 14 divide g? False Suppose 0 = -10*c + 242 + 228. Let o = 21 + c. Is o a multiple of 17? True Suppose 13*a + 12*a = 9600. Does 107 divide a? False Let w = -458 + 654. Does 49 divide w? True Let m(w) = -5*w + 9 + 8*w + 2*w + 8*w. Let u be m(3). Suppose -u = 8*h - 10*h. Is h a multiple of 5? False Let t(s) be the first derivative of s**4/4 - s**2/2 - 5. Let i be t(2). Is 4/(-12) - (-218)/i a multiple of 15? False Let o = -17 - -20. Let p be (-3 - -5 - o)*6. Let y = 18 + p. Is y a multiple of 5? False Let k = -2 - -270. Is k a multiple of 18? False Suppose 149*t - 161*t + 5124 = 0. Is 61 a factor of t? True Suppose -7*v + 18*v + 22 = 0. Is 4 a factor of (-154)/(-4) + (-1 + 2)/v? False Is (-35637)/(-42) - 21/6 a multiple of 14? False Let d = 7 + -2. Suppose 8*x - d*x - 9 = 0. Suppose 24 = x*l + l. Is l even? True Let m(v) = 5*v + 197. Does 6 divide m(12)? False Let c = -114 - -1640. Does 24 divide c? False Let j = -389 + 719. Does 11 divide (j/(-9))/(2*4/(-12))? True Let b(t) = -t**3 + 25*t**2 + 10*t - 82. Is b(25) a multiple of 41? False Let l(g) = g**2 + 23*g - 21. Let q be l(-24). Suppose -4*f + 477 = 3*m, 0*m = q*f + 3*m - 360. Does 19 divide f? False Let z(c) = -4*c - 3*c + 1 - 5 - c**2. Let w be z(-6). Suppose i + b = -8 + 41, 0 = -w*i + b + 66. Does 7 divide i? False Is 16 a factor of (-7672)/(-12) - ((-25)/15 - -1)? True Suppose -24*v + 89*v - 143260 = 0. Is v a multiple of 19? True Suppose -5*o - 21 + 46 = 0. Suppose o*m - 696 = -m. Is 16 a factor of m? False Suppose -5*d - l + 0*l - 59 = 0, 5*l + 7 = -d. Suppose 3*a - 21 = -0*a + h, -3*h + 7 = a. Let z = a - d. Is z a multiple of 4? False Let w(b) = -3*b**2 + 81*b - 89. Is w(18) even? False Let x = 80 - 46. Suppose 50 = -q - x. Let k = q - -145. Is k a multiple of 15? False Let o(p) = 2*p**2 - 31*p - 3. Let t(z) = 2*z + 16. Let d be t(0). Does 13 divide o(d)? True Let a = 34 + 866. Suppose q = 4*q - a. Suppose q = -5*w + 9*w. Is 23 a factor of w? False Suppose 45*j = 40*j + 35. Let c(d) = 3*d**2 - 17. Does 10 divide c(j)? True Suppose 532*g - 27864 = 496*g. Is 86 a factor of g? True Suppose -2*o + 80 = 5*b, -4*o - b + 128 = b. Let g be 12/o - 816/(-10). Let v = 172 - g. Is v a multiple of 18? True Let i(x) = 6*x - 20. Let v be i(-5). Let t = v + 32. Let h = t + 33. Does 3 divide h? True Let l be -10*12/10*1. Let c be (-12 - l)*(-2)/4. Suppose 2*t + t - 84 = c. Does 14 divide t? True Let b(z) = z**2 - 11. Let g be b(-4). Let h(n) = 5*n**2 - 4*n - 3. Is h(g) a multiple of 17? True Let r = 85 + -154. Let u = r - -141. Is 12 a factor of u? True Let y(u) = u**2 + 32. Let s be y(15). Let z = s - 149. Does 27 divide z? True Suppose 134 - 38 = -4*g. Let x be (-165)/(-6)*g/(-10). Let q = 98 - x. Is 9 a factor of q? False Let t = 3 - 0. Suppose -t*s + 12 = 15. Is 10 a factor of (-29 + s)*12/(-18)? True Suppose -3*v = 2 - 8. Suppose -3*s = 5*y - v*s - 21, -1 = 3*y + 4*s. Suppose 417 = y*a + 147. Is 18 a factor of a? True Let v(w) = w**3 + 5*w**2 + 6*w + 25. Let b be v(-5). Let i(m) = -3*m**3 - m**2 + 19*m + 11. Does 12 divide i(b)? False Let t = -383 - -542. Is 13 a factor of t? False Suppose 3*q = -5*m - 0*q + 843, 0 = -5*m + 4*q + 836. Is 148 a factor of m? False Does 133 divide (30/(-8))/(8 - (-4257)/(-532))? True Is 6 a factor of (86 - 49)*(21 - 2)? False Let y(b) = -2*b**3 - 2*b. Let s be y(4). Let z = s - -222. Is z a multiple of 9? False Let x(v) = 83*v + 12. Let g(n) = 42*n + 6. Let d(p) = 5*g(p) - 3*x(p). Does 25 divide d(-2)? False Let j(n) be the second derivative of 3/2*n**3 - 1/20*n**5 - 3*n + 0 - 2/3*n**4 - 5*n**2. Is 20 a factor of j(-10)? True Suppose -111*p + 113*p - 6840 = 0. Is p a multiple of 95? True Let j = -187 - -306. Suppose -6*m + j = m. Does 4 divide m? False Let z = -101 - 120. Let u = z + 320. Is u a multiple of 11? True Let y(a) be the third derivative of 13/24*a**4 - 1/60*a**5 + 6*a**2 + 0*a + 2/3*a**3 + 0. Is 14 a factor of y(10)? False Let s(p) = p**3 - 8*p**2 + 7*p - 5. Let l be s(7). Let q be (-1 - -2)/(l/(-515)). Suppose 9*t = 8*t + q. Is 23 a factor of t? False Let b = -119 - -191. Is 9 a factor of b? True Suppose 3*z - 10 = 113. Suppose 490 = z*u - 36*u. Does 11 divide u? False Suppose 8*i + 40 + 56 = 0. Let t = i + 84. Is t a multiple of 12? True Suppose m + u = -2*m + 412, 0 = -u + 4. Is 3 a factor of m? False Suppose -16 = -4*r, j = -5*r + 8*r + 280. Is 10 a factor of j? False Let q = 5 + -4. Let y be q*(10 - (3 + 0)). Suppose 0 = -2*s + y*s - 65. Is s a multiple of 6? False Let q(a) = a**2 + 21*a + 290. Does 4 divide q(-11)? True Suppose -121*q = -97*q - 43896. Does 113 divide q? False Suppose 3*n = 9, 4*n = 2*j - 623 - 517. Is j a multiple of 8? True Let a(r) = 4*r**2 - 7*r - 20. Is a(-5) a multiple of 5? True Let g = -268 + 425. Suppose -5*i = -g + 57. Does 5 divide i? True Suppose -4*s + 4 = h - 2361, -5*h = 15. Is s a multiple of 16? True Let y = -42 + 44. Suppose 0 = -y*d - 4*j + 96, -5*j - 5 = -0*j. Is d a multiple of 10? True Let j be 16/4 - (1 - -8). Let h = j - -9. Suppose -h*d + 168 = -152. Does 20 divide d? True Let j(i) = 18*i + 49. Is 58 a factor of j(16)? False Suppose -31 = -3*z - 16. Suppose 5*k = -3*f + 265, z = -f - 0. Does 5 divide k? False Suppose 172*w = 162*w + 6840. Does 12 divide w? True Suppose -14*q - 18648 = -51*q. Is q a multiple of 8? True Suppose -3*t + 1380 = 4*n, -2*n + t = -4*t - 690. Suppose 0 = -r - 4*l + n, -l + 566 + 414 = 3*r. Does 25 divide r? True Let y(g) = -106*g**3 + 10*g + 27. Is 16 a factor of y(-2)? False Let o = 410 - 375. Is o a multiple of 35? True Let x(f) = -f**2 - 12*f - 3. Let n be x(-8). Suppose n*g - 1080 = 11*g. Is g a multiple of 44? False Let v(h) = 5*h - 27. Let m be v(11). Let t = 77 + 6. Let g = t + m. Is 30 a factor of g? False Let l = 575 - 348. Let f = l + -137. Is 30 a factor of f? True Let i(j) = 18*j**3 + 3*j**2 - 4*j + 5. Let n = 87 - 85. Does 22 divide i(n)? False Let s(l) = 2*l**3 + 5*l**2 - l - 16. Let x be s(4). Suppose 3*t = -2*i + 637 - 74, x = t + i. Is t a multiple of 18? False Suppose 3*v = -5*o + 86 + 490, 5*o = 3*v - 546. Is v a multiple of 17? True Let x(a) = 43*a - 3. Is x(3) a multiple of 9? True Let o(g) = 4*g**3 + 2*g**2 - g - 1. Let b be o(2). Suppose 4*k - 1 + b = 2*l, 2*k + 2 = -l. Is l even? True Let f be (198/55)/((-1)/5). Let n be (-1)/2 - f/4. Suppose n*i + 0*q + 3*q = 196, -12 = 3*q. Does 14 divide i? False Let j(a) = 284*a**2 + 3*a + 5. Is 13 a factor of j(-1)? True Suppose 7*t - 1512 = 7161. Is t a multiple of 37? False Suppose 7*p = -32 - 241. Let h = 63 + p. Is 24 a factor of h? True Let w = -137 + 96. Let s = w + 41. Suppose 2*c - 170 = 4*j, -2*c + j - 6*j + 125 = s. Is c a multiple of 32? False Let x(p) = p**2 + p. Let u(i) = -9*i**2 - 1. Let s(q) = -q**2 - 8*q + 8. Let m be s(-9). Let g(z) = m*u(z) - 5*x(z). Is g(4) a multiple of 12? False Let v be (3/(-9) - 0)*3. Is 13 a factor of v/(-3) - 109/(-6)*10? True Let w = 234 - 10. Is w a multiple of 23? False Suppose -2*i = -383 - 235. Is 11 a factor of i? False Let g = 575 - 425. Is 10 a factor of g? True Let f = 42 + 19. Let l = 8 + f. Is 44 a factor of l? False Is 25 a factor of 175 + (-1 - 5/(-2))*2? False Let u(a) be the third derivative of a**8/10080 - a**7/1260 -
{ "pile_set_name": "DM Mathematics" }
715365 is divided by 43. 4 What is the remainder when 232956 is divided by 116235? 486 Calculate the remainder when 6859958 is divided by 803. 732 Calculate the remainder when 243793 is divided by 2514. 2449 Calculate the remainder when 5470546 is divided by 3778. 2 Calculate the remainder when 47085154 is divided by 372. 370 Calculate the remainder when 644170 is divided by 1370. 270 What is the remainder when 494588 is divided by 110? 28 What is the remainder when 1075496 is divided by 11203? 8 What is the remainder when 926173891 is divided by 98? 97 What is the remainder when 130075072 is divided by 23? 21 What is the remainder when 6501004 is divided by 6443? 17 What is the remainder when 377405431 is divided by 76? 71 What is the remainder when 33102154 is divided by 130? 124 What is the remainder when 29144474 is divided by 29? 25 Calculate the remainder when 158699 is divided by 664. 3 Calculate the remainder when 244477800 is divided by 715. 710 Calculate the remainder when 42722665 is divided by 811. 807 What is the remainder when 25082 is divided by 514? 410 Calculate the remainder when 23786516 is divided by 17. 14 What is the remainder when 774757 is divided by 115? 2 What is the remainder when 1469003 is divided by 6? 5 Calculate the remainder when 3370181 is divided by 44933. 206 Calculate the remainder when 15561 is divided by 5023. 492 What is the remainder when 30456403 is divided by 68? 19 What is the remainder when 325388 is divided by 81281? 264 What is the remainder when 1506399 is divided by 150615? 249 Calculate the remainder when 48713 is divided by 8166. 7883 Calculate the remainder when 46301107 is divided by 25191. 49 What is the remainder when 3140272 is divided by 672? 16 Calculate the remainder when 30208 is divided by 903. 409 What is the remainder when 638911 is divided by 2290? 1 Calculate the remainder when 1276865 is divided by 1781. 1669 What is the remainder when 45286632 is divided by 261? 0 Calculate the remainder when 133955 is divided by 2729. 234 What is the remainder when 9180043 is divided by 49? 40 Calculate the remainder when 1696319 is divided by 41. 26 Calculate the remainder when 833289 is divided by 448. 9 What is the remainder when 75467 is divided by 6848? 139 What is the remainder when 2960994 is divided by 53836? 14 Calculate the remainder when 116133 is divided by 116121. 12 What is the remainder when 215063 is divided by 5663? 5532 What is the remainder when 877307 is divided by 151? 148 What is the remainder when 6854732 is divided by 42? 38 Calculate the remainder when 3981848 is divided by 442426. 14 Calculate the remainder when 215855 is divided by 1700. 1655 Calculate the remainder when 64259803 is divided by 7. 6 Calculate the remainder when 17947934 is divided by 146. 8 What is the remainder when 18977467 is divided by 9488722? 23 Calculate the remainder when 194798 is divided by 14977. 97 What is the remainder when 339790 is divided by 4382? 2376 Calculate the remainder when 471135 is divided by 233740. 3655 What is the remainder when 28028879 is divided by 3175? 3154 What is the remainder when 184581 is divided by 42? 33 Calculate the remainder when 55620 is divided by 3477. 3465 Calculate the remainder when 49091 is divided by 47956. 1135 Calculate the remainder when 537978 is divided by 15671. 5164 What is the remainder when 7731741 is divided by 213? 54 Calculate the remainder when 17227522 is divided by 20756. 42 Calculate the remainder when 131755 is divided by 131662. 93 Calculate the remainder when 5082637 is divided by 4. 1 What is the remainder when 257710 is divided by 267? 55 What is the remainder when 1585257 is divided by 5001? 4941 Calculate the remainder when 2086143 is divided by 12951. 1032 Calculate the remainder when 1270947 is divided by 6051. 237 Calculate the remainder when 5064148 is divided by 536. 20 What is the remainder when 8755399 is divided by 67? 40 What is the remainder when 1872474 is divided by 2850? 24 What is the remainder when 7064255 is divided by 883029? 23 What is the remainder when 2062575 is divided by 229174? 9 What is the remainder when 152364 is divided by 2308? 36 What is the remainder when 18806816 is divided by 419? 1 What is the remainder when 52127 is divided by 1545? 1142 Calculate the remainder when 49863 is divided by 3118. 3093 Calculate the remainder when 34002 is divided by 4758. 696 What is the remainder when 451340 is divided by 28208? 12 Calculate the remainder when 4094753 is divided by 2047369. 15 What is the remainder when 1284291 is divided by 194? 11 What is the remainder when 1256924 is divided by 309? 221 What is the remainder when 46326110 is divided by 507? 506 What is the remainder when 11544100 is divided by 43075? 0 What is the remainder when 275841 is divided by 886? 295 Calculate the remainder when 47894 is divided by 7942. 242 What is the remainder when 17522020 is divided by 52? 48 Calculate the remainder when 2871745 is divided by 689. 682 What is the remainder when 9939713 is divided by 89? 15 Calculate the remainder when 83066 is divided by 729. 689 What is the remainder when 14057988 is divided by 483? 273 Calculate the remainder when 25682133 is divided by 33. 15 What is the remainder when 9099991 is divided by 1819988? 51 Calculate the remainder when 17338062 is divided by 56110. 72 Calculate the remainder when 26038 is divided by 6495. 58 Calculate the remainder when 1304808 is divided by 163100. 8 What is the remainder when 18456415 is divided by 2213? 2208 Calculate the remainder when 23303051 is divided by 223. 220 What is the remainder when 16583680 is divided by 10839? 10 Calculate the remainder when 2680643 is divided by 12. 11 Calculate the remainder when 252494 is divided by 20. 14 Calculate the remainder when 91756289 is divided by 9477. 9452 What is the remainder when 9440 is divided by 1071? 872 Calculate the remainder when 32273633 is divided by 11. 7 Calculate the remainder when 6260918 is divided by 251. 225 What is the remainder when 3803881 is divided by 66? 37 What is the remainder when 51749754 is divided by 3590? 3494 Calculate the remainder when 881298744 is divided by 1931. 1930 Calculate the remainder when 66474 is divided by 40. 34 What is the remainder when 536909 is divided by 76618? 583 Calculate the remainder when 1419347 is divided by 22. 17 What is the remainder when 264362 is divided by 1674? 1544 Calculate the remainder when 640164 is divided by 618. 534 What is the remainder when 12836338 is divided by 282? 262 Calculate the remainder when 12535873 is divided by 13. 12 Calculate the remainder when 17002 is divided by 266. 244 What is the remainder when 5111453 is divided by 13? 9 Calculate the remainder when 178675 is divided by 2382. 25 What is the remainder when 1940 is divided by 260? 120 Calculate the remainder when 34319 is divided by 555. 464 What is the remainder when 3192740 is divided by 12? 8 Calculate the remainder when 7586202 is divided by 16. 10 What is the remainder when 134699 is divided by 11220? 59 Calculate the remainder when 134024 is divided by 132921. 1103 What is the remainder when 514665 is divided by 35? 25 What is the remainder when 46172318 is divided by 178? 8 Calculate the remainder when 35421 is divided by 2286. 1131 Calculate the remainder when 106235 is divided by 21239. 40 What is the remainder when 98858 is divided by 32755? 593 What is the remainder when 8918876 is divided by 1134? 1100 Calculate the remainder when 204788 is divided by 17061. 56 What is the remainder when 96701 is divided by 96509? 192 What is the remainder when 218129 is divided by 204? 53 What is the remainder when 37717829 is divided by 2827? 2822 What is the remainder when 440218 is divided by 73363? 40 What is the remainder when 1410770 is divided by 81? 74 What is the remainder when 29080504 is divided by 357? 355 Calculate the remainder when 48531320 is divided by 87. 23 What is the remainder when 6717317 is divided by 274? 207 What is the remainder when 33480252 is divided by 86? 22 Calculate the remainder when 38811 is divided by 12839. 294 What is the remainder when 1966 is divided by 1520? 446 What is the remainder when 56305488 is divided by 52? 44
{ "pile_set_name": "DM Mathematics" }
first derivative of s**2/2 + 4*s - 53. What is r*f(h) - 2*m(h)? h + 2 Let q(m) = -m**2 - 2*m + 1. Let x(f) = 5*f**2 + 227*f - 3. Give -4*q(i) - x(i). -i**2 - 219*i - 1 Let y(v) = 8*v**3 + 39*v**2 + 47*v + 28. Let f(d) = -4*d**3 - 18*d**2 - 23*d - 13. Calculate 13*f(g) + 6*y(g). -4*g**3 - 17*g - 1 Let x(l) = 108*l**3 - 3*l**2 - 3*l. Let s(t) = -1729*t**3 + 49*t**2 + 49*t. Determine -3*s(m) - 49*x(m). -105*m**3 Let s(j) = 27*j**2 - j + 4. Let o(i) = -26*i**2 + i - 3. Calculate -6*o(g) - 5*s(g). 21*g**2 - g - 2 Let x(f) = 12*f**3 - 20*f**2 - 9*f - 6. Let n(p) = 8*p**3 - 14*p**2 - 6*p - 4. Calculate 7*n(j) - 5*x(j). -4*j**3 + 2*j**2 + 3*j + 2 Let f(c) = 15*c**2 + 5. Let b(w) be the third derivative of 11*w**5/30 + 7*w**3/6 + w**2 + 336*w. Calculate 5*b(x) - 7*f(x). 5*x**2 Suppose 55 = 39*l - 101. Let j(a) = -5*a - 6. Let d(i) = -4*i - 6. What is l*d(x) - 3*j(x)? -x - 6 Let w = 11 + -6. Let k = w + -9. Let d(l) = -5*l**3 + l**2 + 4*l - 3. Let s(n) be the first derivative of -n**4/4 + n**2/2 - n + 73. What is k*s(b) + d(b)? -b**3 + b**2 + 1 Let p(w) = -17*w - 3. Let n(r) = 16*r + 2. Let i = -24 + 18. Let t(g) = i*n(g) - 5*p(g). Let u(d) = -34*d + 10. What is -16*t(c) + 5*u(c)? 6*c + 2 Let v(i) = -i - 6. Let f(g) = 31 - 61 + 28. Let x = 14 - 8. Calculate x*f(z) - 2*v(z). 2*z Let a(s) = s**2 + 23*s - 3. Let z(h) = h**3 - 2*h**2 - 48*h + 5. Determine 5*a(d) + 3*z(d). 3*d**3 - d**2 - 29*d Let i(s) = -37 - 38 + 79 - 2*s. Let x = 11 + -9. Let n(k) = 2*k + 6. Let t be n(-6). Let q(u) = -u + 1. Determine t*q(c) + x*i(c). 2*c + 2 Let b(g) = 2*g**2 - 2*g + 4. Let a(x) = -x**2 + 27*x - 74. Let k be a(24). Let p(o) = -o + 1. Give k*p(s) + b(s). 2*s**2 + 2 Let d(u) = -8*u**2 - u + 3. Let o(i) = 16*i**2 + i - 7. Let v(f) = -12*f**2 - f + 5. Let s(t) = 2*o(t) + 3*v(t). Give 2*d(z) - 5*s(z). 4*z**2 + 3*z + 1 Let r(n) = -n**2 + 10*n - 6. Let b(j) = -3*j**2 + 31*j - 15. Give -4*b(p) + 11*r(p). p**2 - 14*p - 6 Let i(d) = 2*d**3 + 4*d**2 + 4*d + 6. Let u(r) = r**3 + 2*r**2 + 2*r + 3. Determine 3*i(l) - 7*u(l). -l**3 - 2*l**2 - 2*l - 3 Suppose -4*a = -27 + 7. Let o(m) = -6*m + 2. Let s be 3 - 1/((-1)/4) - 3. Let z be (-2)/(s - (-14)/(-4)). Let c(l) = -5*l + 2. Determine a*c(u) + z*o(u). -u + 2 Let p(y) = -4*y**2 + 4*y + 1. Let i(l) = -l**2 + 1691 + 5*l - 6*l**2 - 1690 + 2*l**2. Give 5*i(c) - 6*p(c). -c**2 + c - 1 Let n(o) = -3*o**3 + 2*o. Let y(h) = h**3 - h. Let l = -192 + 189. Give l*n(c) - 6*y(c). 3*c**3 Let r(f) = 66*f**3 + 12*f**2 + 10*f. Let g(v) = 197*v**3 + 34*v**2 + 29*v. Give -6*g(m) + 17*r(m). -60*m**3 - 4*m Let j(w) = -w**3 - 6*w**2 + 2*w + 4. Let t(h) = h**2 - h - 1. Give -j(u) - 4*t(u). u**3 + 2*u**2 + 2*u Let l(a) = -a**2 - a - 1. Let g(t) = 4*t**2 + 20*t + 20. What is -6*g(p) - 120*l(p)? 96*p**2 Let s(x) = 15*x + 17. Suppose -13*w + 10*w + d = 17, 2*w + 14 = -2*d. Let g(v) = 7*v + 8. Determine w*s(m) + 13*g(m). m + 2 Let t(g) = g - 2. Let j(c) be the third derivative of c**4/4 - 5*c**3/2 + 10*c**2 - 8*c. Determine 2*j(z) - 15*t(z). -3*z Let i(k) = -6*k**3 + 7*k**2 + 5*k. Let u(d) = 3*d**3 - 4*d**2 - 3*d. Suppose -34*w + 588 = 758. Calculate w*u(z) - 3*i(z). 3*z**3 - z**2 Let b(p) = 0*p - 7*p**3 - 4410 - 2*p + 4410. Let t(c) = 6*c**3 + c**2 + 2*c. What is -2*b(q) - 3*t(q)? -4*q**3 - 3*q**2 - 2*q Let o(q) = q**2 + 3. Let w(j) = -39*j**2 + j + 18. Give -6*o(i) + w(i). -45*i**2 + i Let u(d) = 5*d**3 + 2*d**2 + 2*d - 2. Let z(w) = -101*w + 46*w + 55 - 47*w**3 + 3*w**2 - 58*w**2 - 88*w**3. Calculate -55*u(s) - 2*z(s). -5*s**3 Let y(v) = -v + 4. Let i(s) be the first derivative of 1/2*s**2 - 12 - 3*s. Calculate -3*i(m) - 2*y(m). -m + 1 Let y(r) = -820*r**3 + 3*r**2 - 3*r + 2. Let x(n) = -n**2 + n - 1. What is 3*x(q) + y(q)? -820*q**3 - 1 Let b = -2956 + 2958. Let a(p) = -p**2 + 3*p - 4. Let o(z) be the first derivative of -z**3/3 + z**2 - 3*z - 1. Give b*a(c) - 3*o(c). c**2 + 1 Let h(n) = 13*n**2 - n - 49. Let u(g) = 7*g**2 - 25. What is 3*h(w) - 5*u(w)? 4*w**2 - 3*w - 22 Let w(l) = -7*l**2 - 8*l. Let o be ((-213)/(-142))/(6/(-20)). Let h(f) = 5*f**2 + 5*f. Give o*w(z) - 8*h(z). -5*z**2 Let k(v) = 9*v**2 + 11. Let j(f) = 3*f**2 + 4. Suppose 0 = 2*s - z + 90, -s - z + 4*z - 45 = 0. Let p be (-3)/s*-2 + 167/15. Calculate p*j(n) - 4*k(n). -3*n**2 Let g(i) = 3*i + 3. Let d(t) be the first derivative of -t + 71. Give -5*d(q) - g(q). -3*q + 2 Let y(g) = 3*g. Let f(n) = 8*n. Suppose 4*t - 26 = 2*t. Let a = t + -6. Determine a*y(q) - 3*f(q). -3*q Let h(m) = 6*m**2 - 4*m + 4. Suppose 0 = -5*g - 4*n + 24 + 4, 4*g - 14 = n. Let v(l) = 5*l**2 - 3*l + 3. Calculate g*v(b) - 3*h(b). 2*b**2 Let c(o) = 71*o + 8. Let p(z) = -z + 1. Determine 3*c(b) - 24*p(b). 237*b Let l be (3/(-2))/((-14)/28). Let a be 1*((3 - l) + -3) + 6. Let z(i) = 5*i**3 + 3*i - 3. Let r(s) = 6*s**3 + 4*s - 4. Calculate a*r(p) - 4*z(p). -2*p**3 Let f(n) = -9*n**3 - 11*n**2 - 11. Let a(w) = 2*w**3 + 2*w**2 + 2. Let b = 297 + -275. Calculate b*a(h) + 4*f(h). 8*h**3 Let n(o) = -o**3 + o + 2. Let y(a) = -3*a**3 + a**2 + 3*a + 10. What is n(w) - y(w)? 2*w**3 - w**2 - 2*w - 8 Let m(i) = -3*i - 12. Let p(x) = -4*x - 11. Calculate 3*m(s) - 2*p(s). -s - 14 Let p(n) = 18*n**2 + 5*n - 147. Let y(g) = -10*g**2 - 3*g + 74. Give -3*p(t) - 5*y(t). -4*t**2 + 71 Let a(s) = 0*s + s**2 + 0*s. Let c(d) = -d**2. Suppose -5*g - 29 = -5*i - 49, -i - 1 = 2*g. Calculate i*a(u) - 2*c(u). -u**2 Let s(u) = u - 24. Let f be s(13). Let m(y) = 2*y**2 - 5. Let c(x) = -6*x**2 + 14. What is f*m(l) - 4*c(l)? 2*l**2 - 1 Let a(l) = 5*l**2 + 8*l. Let x(i) = i**2 + i + 2. Determine -a(g) + 4*x(g). -g**2 - 4*g + 8 Let i(d) = -2*d**2 - 4*d + 2. Let v(u) = u**3 + 51*u**2 - 46*u + 306. Let b be v(-52). Let c = -7 + 18. Let k(y) = -y**2 - 2*y + 1. What is b*i(p) + c*k(p)? p**2 + 2*p - 1 Suppose 0 = -2*v - 2*u - 2*u - 6, -5*u - 5 = 0. Let g(i) = -i. Let s(z) = 1. Give v*s(x) - g(x). x - 1 Let w(f) = -8 - 2*f**2 - 2*f**2 - 1 - 1. Suppose -7 = u - 0. Let z be (-5)/2*(7 + -5 + 0). Let b(v) = 3*v**2 + 7. Determine u*b(l) + z*w(l). -l**2 + 1 Let z(r) = -32*r + 5. Let u(s) = s**2 + 32*s - 4. Calculate 4*u(g) + 3*z(g). 4*g**2 + 32*g - 1 Let v(u) = 16*u**2 + 11*u + 17. Let d(i) = 6*i**2 + 4*i + 6. Calculate -17*d(a) + 6*v(a). -6*a**2 - 2*a Let y(i) be the second derivative of -i**3/2 - 5*i**2/2 + 143*i. Let c(s) = 3*s + 4. Calculate 4*c(l) + 3*y(l). 3*l + 1 Let p(n) be the first derivative of n**3/3 + 3*n**2 - n - 22. Let g be p(0). Let i(q) = 3*q**2 - 4*q. Let f(a) = -3*a - 3*a + 5*a. What is g*i(z) + 4*f(z)? -3*z**2 Let f(t) = 283*t - 2. Let g(h) = 284*h - 1. Give -2*f(r) + 3*g(r). 286*r + 1 Let a(m) = -197*m + 8. Let u(b) = -590*b + 27. Determine -7*a(v) + 2*u(v). 199*v - 2 Let j(y) = 7*y**2 + 5*y - 297. Let s(z) = -6*z**2 - 4*z + 294. Determine 4*j(b) + 5*s(b). -2*b**2 + 282 Let o(k) = 16*k**3 + 2*k**2 + 2. Let n = 508 + -541. Let t(a) = -255*a**3 - 33*a**2 - 33. Give n*o(m) - 2*t(m). -18*m**3 Let j(y) be the third derivative of 2*y**5/15 + 5*y**4/24 - 5*y**3/6 + 139*y**2. Let x(r) = -8*r**2 - 4*r + 4. What is -4*j(g) - 5*x(g)? 8*g**2 Suppose 0*h - 24*h + 48 = 0. Let l(f) = f**2 + 7. Let d(z) = -4*z**2 - 22. Determine h*d(w) + 7*l(w). -w**2 + 5 Let s = -1953 - -1961. Suppose 10 = 5*g - 5. Let u(a) = -5*a**2 - 3*a - 3. Let d(p) = 14*p**2 + 8*p + 8. What is g*d(n) + s*u(n)? 2*n**2 Let p(c) = -3*c + 4. Let t(s) = 3*s - 4. Let h be 186/279*(-15)/(-2). Calculate h*p(l) + 4*t(l). -3*l + 4 Let k(g) = 11*g**3 + 6*g**2 - 6*g - 6. Let l(c) = 118*c**3 + 117*c**3 - 347*c**3 - 5*c + 5*c**2 - 5 + 122*c**3. Calculate -5*k(p) + 6*l(p). 5*p**3 Let t(k) = 22*k + 7. Let d(z) = 3*z + 7. Let w(s) = -8*s - 13. Let q(p) = 7*d(p) + 4*w(p). Determine -7*q(f) - 3*t(f). 11*f Let t(s) = 6*s - 15. Let f(a) be the first derivative of -a**2/2 + a + 261. Calculate -5*f(w) - t(w). -w + 10 Let l(k) = 2*k**3 - 5*k**2 + 2*k - 6. Let y(h) = 2*h**3 - 4*h**2 + 4*h - 5. What is -4*l(d) + 5*y(d)? 2*d**3 + 12*d - 1 Let i(f) = f + 10. Let y be i(-9). Let c(s) = -15*s + 18. Let h(p) = 133*p + 2. Let b(n) = 355*n + 5. Let u(v) = -3*b(v) + 8*h(v). Determine y*c(x) - 18*u(x). 3*x Let v = -141 - -130. Let p = 14 - 20. Let f(s) = 13*s**2 + 11*s - 11. Let j(u) = -7*u**2 - 6*u + 6. Give p*f(a) + v*j(a). -a**2 Let y(b) = -5*b + 1. Let p(j) = 26*j - 6. Determine -2*p(w) - 18*y(w). 38*w - 6 Let u(x) =
{ "pile_set_name": "DM Mathematics" }
- n - 1. Suppose -6*j - 10 = 14. Let s be 0 + (8/(-2) - j). Calculate f(s). 1 Let p(g) = 6*g - 22. Let m(t) = 4*t - 12. Let s(z) = -10*m(z) + 6*p(z). Calculate s(-5). 8 Let l be 9/(26/8 + -4). Let r = -8 - l. Suppose -2*j + 22 = r*w, j + 10 = -5*w + 6*j. Let f(i) = -i**2 - i + 2. What is f(w)? -10 Let q(g) = g**2 - 6*g + 2. Suppose 0 = -3*u + 4*u - r - 6, -3*u + 2*r = -17. Give q(u). -3 Let b(k) be the second derivative of -k**6/360 - k**5/120 + 2*k**4/3 + k**3/6 + 5*k. Let d(i) be the second derivative of b(i). What is d(0)? 16 Let c(h) = -2*h - 15. Let d(y) = -y - 3. Let w(r) = -c(r) + 6*d(r). Give w(-3). 9 Let u(m) = m**2 - 2*m - 1. Let h(r) = r**3 + 8*r**2 + 12*r - 5. Let f be h(-6). Calculate u(f). 34 Let w(t) = 9*t + 3. Let s(x) = 6*x + 3. Let z(o) = 5*s(o) - 4*w(o). Give z(2). -9 Let z(k) = -4*k**2. Suppose -4*q = -2*p - 18, 5*q - 2 - 18 = 0. Calculate z(p). -4 Let m(z) = -4*z + 1. Let j(d) = 11*d - 4. Let q(t) = 2*j(t) + 7*m(t). What is q(1)? -7 Let d(y) be the first derivative of 1/2*y**2 + 51 + 15*y. Give d(0). 15 Let a be ((-3)/(-15)*0)/(2/2). Let c be (-5)/(-15)*a + -2. Let p(b) = -5*b**2 - b + 2. What is p(c)? -16 Let x(n) = 31*n**2 + 5*n + 15. Let v(j) = -6*j**2 + j + 1. Let k(s) = -5*v(s) - x(s). Determine k(-5). 5 Suppose -4*v + 3*c + 12 = 0, -v - 4*c + 3 = -0. Let f(l) = 2*l**3 + 2*l + 0*l + v*l**2 - l**3 + l**3. Suppose j + 2*j = -6. Determine f(j). -8 Let o(r) = -1 + 586*r**2 - 585*r**2 - 8 + 2 + 6*r - 3. What is o(-5)? -15 Let o(r) = 3*r**3 + 3*r**2 + 2*r. Suppose -5*j = z - 3, j + 0*j = -4*z + 88. Let x = z - 24. Let b be o(x). Let c(m) = -3*m - 1. Give c(b). 5 Let d(y) = y + 7. Suppose -111 = 3*f - 3*m, -3*f = f - 2*m + 148. Suppose -b + 15 + 15 = 0. Let n = f + b. What is d(n)? 0 Let y be 3/2 + 78/4. Let c be -13 + 2/((-7)/(y/(-2))). Let z(b) = b**3 + 11*b**2 + 10*b + 2. What is z(c)? 2 Let w(d) = 1 + 1 - 2*d**2 - 3 + 16*d**2 + 2*d. Calculate w(1). 15 Let x be 1 - (1 - 1)*-1 - -162. Let q(l) = x*l**2 + 5 - 81*l**2 - 81*l**2 + 5*l. Calculate q(-4). 1 Let l = 3 + -8. Let n(c) = 3*c**2 - 8*c + 4. Let i(f) = 4*f**2 - 9*f + 5. Let t(j) = -4*i(j) + 5*n(j). Give t(l). -5 Let z(u) be the first derivative of -u**2/2 + 12. Let c(s) = -2*s + 4. Let d(x) = -c(x) + 3*z(x). What is d(0)? -4 Let d(h) = h - 4. Suppose -3*c + 5*s = 12, -2*c + 3*s = c + 6. Let u(o) = o**3 + 2*o - 1. Let n be u(c). Give d(n). -2 Let w(q) be the first derivative of q**4/12 + q**3/2 - q**2 - 3*q + 13. Let l(n) be the first derivative of w(n). Let v = -3 - 0. What is l(v)? -2 Suppose 10 + 2 = 4*r. Let j(b) = b**2 - b**r + 4*b - 472 + 477 + 4*b**2. Give j(6). -7 Let l(v) = -v**2 - 8*v + 23. Let q be l(-10). Let w(j) = j - 2*j**2 + 4*j**2 - j**2 + 14*j**3 + 2*j**q. What is w(-1)? -16 Let l(y) = 6*y. Let x = -58 + 62. Suppose -x*g = -5*g - 1. Determine l(g). -6 Let g(i) = i + 31. Let q = 687 + -687. Determine g(q). 31 Suppose -2*y + 0*s = 3*s + 15, 4*s = 12. Let m be 4/y + 8/6. Let i(f) = 2 - 11*f**2 - m - 2. Give i(1). -12 Let m(g) be the first derivative of -g**4/4 - 5*g**3/3 + 3*g**2/2 + 4*g + 495. Determine m(-5). -11 Let p(b) = -b**3 - b**2 - 3. Let s(j) = 56*j**2 + 2*j + 1. Let m be s(-1). Let r = -55 + m. What is p(r)? -3 Let d(f) = f**3 - 4*f**2 + 3*f - 4. Let o(t) = -t**3 - 9*t**2 - 15*t - 3. Let w be o(-7). Calculate d(w). 8 Let j = -16 - -22. Suppose x - 2 = -1. Let a(y) = 5 + 4 + 2*y - y**2 - x + 2*y. Calculate a(j). -4 Let d(t) = 11*t**2 + 17*t + 4. Let z(v) = -3*v**2 - 4*v - 1. Let m(p) = -2*d(p) - 9*z(p). Calculate m(-2). 17 Let p = 1901 + -1890. Let q(b) = b**2 - 15*b - 5. Give q(p). -49 Let b be 2*((-7)/(-2) + 0). Let l(f) = 8*f - 2*f**3 - 3*f**2 + 3*f**3 - 5*f - 3*f**2 + b. Suppose -2*w - 2*z = w - 23, 4*z = w + 11. Give l(w). -3 Let p(y) = -y**3 + 12*y**2 + 13*y + 6. Suppose -4*o + 0 = 2*r - 10, -5*o = r + 7. Let k be p(r). Let j(n) = 2*n - 1 - k*n**3 + 0 + 0. Give j(1). -5 Let o(y) = -40*y**3 + 6*y**2 + 6*y + 38. Let n(t) = 8*t**3 - t**2 - t - 7. Let d(m) = 11*n(m) + 2*o(m). Calculate d(1). 9 Let m(q) = -11*q**3 + 2*q**2 - 2*q + 1. Suppose 3*l = -g + 12, -g - 3*l = -4*g. Let b(a) = a - 15. Let w be b(22). Suppose 4*p + g = w*p. Give m(p). -10 Let z(c) = -c + 27. Let a(t) = 3. Let j(p) = 6*a(p) - z(p). Give j(8). -1 Let n(a) = -a**2 + 21*a - 16. Suppose 4*q = 3*y + 81, -14*q + 12*q = y - 43. Determine n(q). -16 Suppose 0 = -282*t + 275*t - 35. Let p(y) = -3*y + 8. What is p(t)? 23 Let g = -6 - -8. Let z(v) = v**2 + 139*v**3 - 6*v**g + 5 - 138*v**3. What is z(4)? -11 Let s(r) = 17*r + 20. Let u(p) = -10*p - 11. Let k(h) = 3*s(h) + 5*u(h). Give k(-4). 1 Let z(u) = u**2 + u. Let f(p) = 5*p - 1. Let m = -2 + 1. Let n be f(m). Let v(x) = -5*x**2 - 10*x - 1. Let j(k) = n*z(k) - v(k). Determine j(4). 1 Let o(p) = p**3 - 25*p**2 - 86*p + 57. Let c be o(28). Let b(g) = -24*g**2 - 3*g + 2. Give b(c). -25 Suppose -3*i + 5 = -q, 2*q + 10 = 11*i - 6*i. Let s(a) = a**3 + 2*a**2 - 7*a - 7. Calculate s(q). -47 Let c(s) = 5*s**2 + 0*s + 2 - 7*s + 1 - 4*s**2. Let h(n) = 3*n**2 - 19*n + 39. Let i be h(3). Calculate c(i). 21 Let s(k) = -k**2 - 4*k**3 - 5*k**3 - 2 + 22*k**3 - 6*k**3 - 6*k**3 + 2*k. Give s(2). 6 Let l be 0 - 19/(133/42). Let d(s) = -s**3 - 3*s**2 + 19*s - 4. What is d(l)? -10 Let s(f) be the second derivative of f**5/20 - 3*f**4/4 - 11*f**3/6 + 3*f**2/2 - 630*f - 1. Calculate s(10). -7 Let d(j) be the third derivative of j**5/60 - 5*j**4/24 + 2*j**3/3 + 29*j**2. Let q = 9 - 9. Suppose -4*o = -k - 9, 3*o - 4*o - 5*k + 18 = q. Give d(o). -2 Suppose 0 = 3*i + 4 - 10. Let r(q) = 5 - 6 + i - 4*q. What is r(1)? -3 Let k(h) = h**2 + 7*h + 7. Let i be k(-6). Let n(a) = 13*a**2 + i + 0 - 7*a**2 + a**2 - a. Calculate n(1). 7 Let t(m) be the second derivative of -m**4/4 - m**3/3 + 3*m**2/2 - 17*m - 2. Give t(-2). -5 Let k(a) = -17*a**2 + 5*a**3 - 4*a**3 - 7*a + 0*a**3 + 24*a - 17. Let b be k(16). Let v(h) be the third derivative of h**4/3 - h**2. Determine v(b). -8 Let d(t) = 5*t + 1. Let f(w) be the first derivative of 2*w**2 + w + 2. Let g be (-1)/(-2)*(3 + -11). Let p(c) = g*f(c) + 3*d(c). Give p(4). -5 Let c(n) = n**2 - 6*n + 5. Let x(u) = 3*u**2 - 11*u + 10. Let g(i) = 5*c(i) - 2*x(i). Let k be g(-8). Let m(z) = -z**2 + 5*z - 6. Give m(k). -6 Let z = 3 - 2. Let p(l) = 10*l + 6*l + z - 14*l + 2. Give p(-5). -7 Suppose -8 = -5*j + 52. Let s(u) = -j + 6*u - 18 + u. Let t(b) = 3*b - 15. Let i(l) = -4*s(l) + 9*t(l). What is i(0)? -15 Let b = -623 - -619. Let g(f) = f**3 + 2*f**2 - 7*f - 5. What is g(b)? -9 Let a(f) be the third derivative of f**6/120 + f**5/60 - f**3/6 + 211*f**2. Give a(2). 11 Let p(h) = -h**3 + 15*h**2 + 2*h - 34. Let q be p(15). Let n be 2/10 + 196/20. Let j(i) = 0*i - n + 5 - i. Calculate j(q). -1 Let j(s) be the second derivative of -s**4 - s**3/6 - 10*s. Let g = -53 - -52. Determine j(g). -11 Let i = -133 + 133. Suppose i = 5*o + 2*o - 42. Let g(f) = f**2 - 4*f - 7. Calculate g(o). 5 Let h(z) = -2*z**2 + 1. Suppose 0 = 42*y - 46*y + 412. Let u = 101 - y. What is h(u)? -7 Let y(g) be the second derivative of g**3/6 + 3*g**2 + 531*g. What is y(-13)? -7 Suppose -3*b + 15 = 0, -5*b = t - 7*b + 8. Let r(c) = 49*c + 20*c**3 - 48*c + c**2 - c**t. Give r(1). 21 Let w be (1/(-5))/((-8)/120). Let s(f) = -f**3 + 5*f**2 - 3*f + 3. Give s(w). 12 Let m(t) = 2*t + 10. Let j be m(-8). Let c(z) = z**2 + 5*z - 11. Let v be c(j). Let r(s) = -s. Determine r(v). 5 Let s(j) = -j**3 + 7*j**2 + 5*j + 10. Suppose -6*v + 47 = -1. Calculate s(v). -14 Let o(s) be the second derivative of 0 + 1/12*s**4 + 1/20*s**5 + 3/2*s**2 + 21*s - 1/6*s**3. What is o(-3)? -12 Let u(c) = c**3 + 4*c**2 - 6*c - 2. Let a(j) = j - 47. Let d be a(42). What is u(d)? 3 Let m(z) = 5*z**2 - 15*z - 6. Let f(s) = 2*s**2 - 2*s. Let x(v) = -2*f(v) + m(v). Determine x(11). -6 Let x be ((-6)/(-9) + 4/3)*1. Let u(y) = 1 - 1 - 1 - x*y + y**2 - 1. Calculate u(3). 1 Suppose 24*a - 22*a = 5*l + 34, -3*a + 23 = -4*l. Let g(z) be the first derivative of 3*z**2/2 + 8*z + 1. What is g(l)? -16 Let z(b) = -b**3 + 8*b**2 - 7*b + 6. Let t(g) = 40*g - 5. Let j be t(2). Let v = 82 - j. Give z(v). 6 Suppose 8*z - 6*z + 18 = 0. Let i(p) = p**2 + 10*p + 3. Let v be i(z). Let t be 2/3*v + 0. Let y(h) = -h - 3. Calculate y(t). 1 Let t be 40/(-16)*(-9 - -11). Let s(u) = 3 - 4 + 2 - 4*u**2 + 6*u - u**3 - 6. Gi
{ "pile_set_name": "DM Mathematics" }
+ 29*m**2 - 10*m**2. m**2 Collect the terms in -13*l + 1266*l**2 + 13*l - 1264*l**2. 2*l**2 Collect the terms in -3*l**2 - 2*l**2 - 12*l**2 + 11*l**2. -6*l**2 Collect the terms in 15 - 15 - i**2. -i**2 Collect the terms in -245*l + 459*l - 238*l. -24*l Collect the terms in -38 - 36 - 35 + 6*r + 109. 6*r Collect the terms in -12705 + 0*y**2 + 3*y**2 - 12704 + 25409. 3*y**2 Collect the terms in -8*d + 3*d - 9*d + 5*d. -9*d Collect the terms in 6*s**3 - 467*s + 467*s. 6*s**3 Collect the terms in -11204*w**3 - 10451*w**3 + 4184*w**3. -17471*w**3 Collect the terms in 12*a**3 + 20*a**3 - 30*a**3. 2*a**3 Collect the terms in -12*w**3 - 16 - 8 - 13 + 37. -12*w**3 Collect the terms in 16*i**2 + 7*i**2 + 0 + 0. 23*i**2 Collect the terms in -2*r**3 + 969 - 969 + 6*r**3. 4*r**3 Collect the terms in 127*i**3 - 244*i**3 + 120*i**3. 3*i**3 Collect the terms in 12*j + 2*j - 9*j. 5*j Collect the terms in 20 + 0*u + 7*u - 153 - 5*u. 2*u - 133 Collect the terms in 174*b**3 + 171*b**3 + 167*b**3 - 511*b**3. b**3 Collect the terms in 4*d**2 + 32*d**2 + 11*d**2 - d**2. 46*d**2 Collect the terms in -3*w + 11*w + 4*w. 12*w Collect the terms in -19*s**3 - 72 + 72. -19*s**3 Collect the terms in -9*x**3 - 5*x**3 - 7*x**3. -21*x**3 Collect the terms in -2*n**3 + 7*n**3 - 4*n**3 + 10*n**3 - 8*n**3. 3*n**3 Collect the terms in 198*r**2 - 376*r**2 - r**3 + 178*r**2. -r**3 Collect the terms in 4*a + 3 + 3 + 5 - 15. 4*a - 4 Collect the terms in -411*i + 3 - 3. -411*i Collect the terms in 726*x - 1 - 177*x + 1. 549*x Collect the terms in -z**2 - 497*z + 254*z + 243*z. -z**2 Collect the terms in -312*o + 941*o - 317*o - 313*o. -o Collect the terms in 3*s - 4*s + 5237 - 5237. -s Collect the terms in 2618*d**2 - 2611*d**2 + 1 - 1. 7*d**2 Collect the terms in 6*u**3 + 0*u**3 - u**3 + 0*u**3 - 4*u**3. u**3 Collect the terms in 3695427*k**2 + 2*k - 3695428*k**2 - 2*k. -k**2 Collect the terms in 8*k**3 + 11*k**3 - 25*k**3. -6*k**3 Collect the terms in 10*x - 29 + 29 - 8*x. 2*x Collect the terms in 2*c - 279 + 279. 2*c Collect the terms in -194 + n + 384 - 2*n - 190. -n Collect the terms in -34*r - 7*r + 52*r - 13*r. -2*r Collect the terms in -139*p**2 + 73*p**2 + 75*p**2. 9*p**2 Collect the terms in v**2 + 5*v**2 + 0*v + 5*v. 6*v**2 + 5*v Collect the terms in 99*x**2 - 196*x**2 + 95*x**2. -2*x**2 Collect the terms in 2 + 15*l**3 - 2 - 21*l**3. -6*l**3 Collect the terms in w - 16*w + 0*w. -15*w Collect the terms in -109*t - 7*t + 30*t - 69*t. -155*t Collect the terms in 21*z**3 + 24*z**3 + 2 - 75*z**3 + 8*z**3. -22*z**3 + 2 Collect the terms in 7*x - 34*x**2 + 32*x**2 - 7*x. -2*x**2 Collect the terms in -63*q**3 + 632*q - 632*q. -63*q**3 Collect the terms in 5*v + 0*v - v - 8*v + 7*v. 3*v Collect the terms in 5*m - 7*m**2 - 6*m + m. -7*m**2 Collect the terms in 2*j + 21*j - 69*j + 21*j + 21*j. -4*j Collect the terms in -30*p**2 - 27*p**2 + 59*p**2. 2*p**2 Collect the terms in -4*w**3 + 307343*w**2 - 307343*w**2. -4*w**3 Collect the terms in -465 + 28*z**2 + 465. 28*z**2 Collect the terms in -5*t**3 - 6*t**3 + 195 - 195. -11*t**3 Collect the terms in 7*l - 19*l + 19*l + 44*l. 51*l Collect the terms in -5*s + 4*s + 16*s - 17*s. -2*s Collect the terms in 23*o - 38*o + 14*o. -o Collect the terms in -18*w - 11*w + 36*w. 7*w Collect the terms in 9*s**3 + 147*s**3 - 154*s**3. 2*s**3 Collect the terms in -486*f + 486*f - 48*f**2 + 20*f**2. -28*f**2 Collect the terms in 2*g**2 - 13409 + 13409. 2*g**2 Collect the terms in 0*d**2 + 0*d**2 + 204*d**3. 204*d**3 Collect the terms in 2*m + 643*m**3 - 2*m - 624*m**3. 19*m**3 Collect the terms in h - 13*h**2 + h**2 - h. -12*h**2 Collect the terms in 3*x**3 - 7392*x**2 + 7392*x**2. 3*x**3 Collect the terms in -7*x + 2193876 - 2193876. -7*x Collect the terms in 2*i**2 + i**2 + 2*i**2 - 3*i**2. 2*i**2 Collect the terms in -25*a**3 + 35*a**3 + 48*a**3. 58*a**3 Collect the terms in -12 + d + 12 + 4*d**2. 4*d**2 + d Collect the terms in -3*u**3 - 291*u**2 + 291*u**2 + 5*u**3. 2*u**3 Collect the terms in -15*s**2 - 5 + 5 - 22*s**2. -37*s**2 Collect the terms in 136*f**2 + 45 - 136*f**2 + 2*f**3. 2*f**3 + 45 Collect the terms in -53*c**2 + 206*c**2 - 46*c**2 - 53*c**2 - 51*c**2. 3*c**2 Collect the terms in 0*u**2 + 8*u**2 + 7*u**2. 15*u**2 Collect the terms in -2 + 3 - 21*m**2 - 1. -21*m**2 Collect the terms in 87*f - 164*f + 82*f. 5*f Collect the terms in -1024 - 5*p**2 - 1012 + 2036. -5*p**2 Collect the terms in 6*n - 6*n - 20*n - 11*n. -31*n Collect the terms in 7*w - 26*w**2 - 7*w + 25*w**2. -w**2 Collect the terms in 268*b**3 - 270*b**3 - 1 - 5 + 6. -2*b**3 Collect the terms in -12*t**2 - 5*t**2 + 7*t**2. -10*t**2 Collect the terms in -151*s**3 + 320*s**3 - 162*s**3. 7*s**3 Collect the terms in 3*v - 3*v + 2*v - 3*v. -v Collect the terms in -35*o**2 + 3*o**2 + 21*o**2 - 95*o**2. -106*o**2 Collect the terms in -1916 + 2*f + 1916. 2*f Collect the terms in -12 - 6*t**3 - 52 + 64. -6*t**3 Collect the terms in -6*g**3 + 398*g - 398*g. -6*g**3 Collect the terms in 181*g**3 - 92*g**3 - 85*g**3. 4*g**3 Collect the terms in -14*y**2 + 18*y**2 - 4*y**2 + 17*y**3. 17*y**3 Collect the terms in 17*h**2 + 25*h**2 - 42*h**2 + 6*h**3. 6*h**3 Collect the terms in -188*h + 94*h + 90*h. -4*h Collect the terms in p + 3*p - 7*p - 10*p. -13*p Collect the terms in 4675*v**2 + 2742*v**2 - 2014*v**2. 5403*v**2 Collect the terms in -3*q - 18 - 6 + 24. -3*q Collect the terms in -3*d - 4*d + 16*d. 9*d Collect the terms in 727*i**2 - 182*i**2 - 185*i**2 - 178*i**2 - 180*i**2. 2*i**2 Collect the terms in -10*x**3 + 3*x**3 + 12 - 12. -7*x**3 Collect the terms in 116*v**2 + 0*v - 3*v + 3*v. 116*v**2 Collect the terms in -2*t**2 + 5*t**2 - t + t. 3*t**2 Collect the terms in 3*q**2 - 15*q**3 - 2*q**3 - 3*q**2. -17*q**3 Collect the terms in -4*x**2 - 29*x**3 + 31*x**3 + 2*x**2 - x**2. 2*x**3 - 3*x**2 Collect the terms in -40*r**3 + 21*r**3 + 17*r**3. -2*r**3 Collect the terms in -20*h**3 - 9*h**3 + 0*h**3. -29*h**3 Collect the terms in 20*m**3 - 7*m - 150*m**3 + 7*m. -130*m**3 Collect the terms in 76*o - 3*o**3 + 4*o**3 + 1008*o. o**3 + 1084*o Collect the terms in 2*h - 2*h - 419408*h**2 + 419409*h**2. h**2 Collect the terms in 53*n - 108*n + 52*n. -3*n Collect the terms in -3*y + 2 - 2 + 0. -3*y Collect the terms in 24*c + 1 - 28*c + 3. -4*c + 4 Collect the terms in 70*l + 103*l + 8*l. 181*l Collect the terms in -4*i - 3 + 4 - 1. -4*i Collect the terms in 3058*o - 3063*o + 4 - 4. -5*o Collect the terms in -300*u - 298*u + 599*u. u Collect the terms in 151*c + 145*c - 296*c - c**2. -c**2 Collect the terms in 5*u - 9*u**3 - 2*u - 3*u. -9*u**3 Collect the terms in -4*l - 115 + 115. -4*l Collect the terms in -6*m**3 - 321*m + 321*m. -6*m**3 Collect the terms in -10*h**2 - 87*h + 87*h. -10*h**2 Collect the terms in 13*h**2 - h**2 + 0*h**2. 12*h**2 Collect the terms in -x**3 - 3170*x**2 + 3170*x**2 - x**3. -2*x**3 Collect the terms in -14*m**2 + 15 - 15. -14*m**2 Collect the terms in -1 + 1 - 189*t + 196*t. 7*t Collect the terms in 159 - 159 + 36*y. 36*y Collect the terms in 32 + 37 - 69 + 27*f. 27*f Collect the terms in -1364*h**2 - 1363*h**2 + 2726*h**2. -h**2 Collect the terms in -10*v**2 - 4*v**2 - 7*v**2. -21*v**2 Collect the terms in 68 - 258 - h + 190. -h Collect the terms in -12*g**2 - 3*g**2 + 3*g**2 + 11*g**2. -g**2 Collect the terms in -5*n**3 - 304 - 306 + 610. -5*n**3 Collect the terms in 107 + 104 + 108 - 3*g**2 - 319. -3*g**2 Collect the terms in -185*a**3 - 191*a**3 + 371*a**3. -5*a**3 Collect the terms in 7*l + 6*l - l + 24*l. 36*l Collect the terms in -61*y**3 + 32*y**3 - 39*y**3. -68*y**3 Collect the terms in -8*j**2 - 39 - 36 + 6*j**2 + 75. -2*j**2 Collect the terms in -3 - 600*n**2 + 583*n**2 + 3. -17*n**2 Collect the terms in -3*w + 0 + 4*w - 2*w - 23. -w - 23 Collect the terms in -8 + 8 + 41*n**2 + 19*n**2. 60*n**2 Collect the terms in 2*n**3 + 174*n**2 - 174*n**2. 2*n**3 Collect the terms in -14*g**2 + 9*g**2 + 13*g**3 + 5*g**2. 13*g**3 Collect the terms in -j**3 - 1 - 12*j**3 + 1 + 10*j**3. -3*j**3 Collect the terms in -5*c - 2*c + 2*c + 6*c + 14. c + 14 Collect the terms in -241 - 91*d**3 + 241. -91*d**3 Collect the terms in 5 + 39*k + 10 - 15. 39*k Collect the terms in -1 + 358*p + 7 - 6. 358*p Collect the terms in 545*z + 827*z - 223*z + 186*z. 1335*z Collect
{ "pile_set_name": "DM Mathematics" }
a*n = 5*u + 2*n + 30, -3*u - 2 = r*n for u. -4 Let v be 28/6 - (-2)/6. Suppose 4437*x + 218 = 4546*x. Suppose -28 = -x*m - v*m. Solve -3*z + 13 = -m*f, -f = 2*f + 3 for z. 3 Let z(u) = -18*u - 82. Let t(h) = h**2 + 9*h - 27. Let m be t(-11). Let j be z(m). Solve -3*g + 18 = 3*d, 5*d - 5*g + j = -2 for d. 2 Suppose s = -3*x - 30, -3*x + 126 + 54 = -4*s. Let d be (-70)/s*(-27)/(-15). Solve -3*a + 15 = -k - 5*a, -d*a = 3*k + 30 for k. -5 Suppose 1974 = -11*c - 3020. Let u = -434 - c. Solve -3*y + 22 = 4*w, 2*w + 4*y = -4 + u for w. 4 Let s(k) = -k**2 - 12*k - 1. Let b be s(-12). Let u be 6*(b - 6/(-4)). Solve -r + 8 = u*n, 11 = -n + 3*r - 3 for n. 1 Let i be 5 - 12/(2 - -2). Let v(f) = 13*f**i - 7*f**2 + 9*f - 7 - f**3 + f**2. Let d be v(8). Solve -3*r - 10 = -d, 2*r = 2*m - 8 for m. 1 Let n(c) = c**3 + c**2 - 106*c + 49. Let q be n(-11). Solve -2*h = 3*h + q*s, -3*h = -5*s + 40 for h. -5 Suppose 4*w = 98 - 110. Let b(k) = -k**3 - 3*k**2 + 7. Let p be b(w). Solve -2*t - 6 = d - 0, t - p = 2*d for t. -1 Let h be (4/6)/(1 - (-3)/(-9)). Let b(u) = u**2 + 25*u - 26. Let j be b(h). Solve j = -5*f, 4 = -2*t + t - 5*f for t. -4 Let x = 156 - 155. Suppose x = 3*l - 8. Solve -l*q + 0*q = 0, -4*u + q = -12 for u. 3 Let s be ((-21808)/(-96))/47 - 1/(-6). Let g = -45 - -50. Solve -5*m + 4*l - g = 0, -4*l = 5*m + l + s for m. -1 Let y be (4/(-12))/(2*(-1)/6). Suppose 5*o + 4*c = 18, -11 = -o + 2*c + y. Solve 3*j - 2*k = -o, -4*j = -j + 2*k + 18 for j. -4 Suppose -549 + 69 = 5*k - 5*b, 5*k - 3*b = -484. Let l = -95 - k. Let m = -16 + 34. Solve -5*t = 4*f + m, 2*t = -l*t + f - 8 for t. -2 Let a(p) = p**3 - 15*p**2 + 25*p - 11. Let z be a(12). Let h be 114/36 + -3 + z/(-6). Let d = 29 - h. Solve -5*o + 4*i = -36, -d*o + i = 5*i - 4 for o. 4 Let l(b) = -777*b - 3105. Let o be l(-4). Solve -16 = -16*n + 13*n - 4*z, 3*z = -o*n + 15 for n. 4 Let q = -2259 + 2312. Suppose -4*c - 2*y = -257 + 37, -4*y - 220 = -4*c. Let s = c - q. Solve -5*j = 2*d + 7, -2*d - j - s*j - 5 = 0 for d. -1 Let g(i) = -i**2 + 7*i - 8. Let w be g(4). Suppose -w*n + 20 = 0, -k + 7 = -3*k + n. Let d be 2/(2/k)*(-12)/2. Solve -3*q + 2*a + 4 = -0*q, -d = 3*a for q. 0 Let l = -2107 - -2111. Solve 3*v = -5*q + 6*v + 17, 2*v = l*q - 14 for q. 4 Let t be 4/(40/(-6))*-20. Suppose -6*r = -3*r - 3*m + t, -r = m - 6. Solve 4*k = s - 4, k - r + 2 = 5*s for k. -1 Suppose 3*z = -4*b + 720, 862*z = 4*b + 860*z - 760. Solve -4*c - 8 = -4*o, b = -5*c + 191 for o. 3 Let j be (-22)/(-8) - (-1)/4. Suppose 555*r = 346*r + 209. Solve j*o = 6*o + 2*u + r, -o + u + 8 = 0 for o. 3 Let c(r) = r**3 - 107*r**2 + 124*r - 1891. Let n be c(106). Solve 4*y = -4*m + 28, -19*y = -n*y + 4*m - 22 for y. 3 Suppose 0 = -2*j + 4*j - 206. Let i = -99 + j. Solve 0 = i*t + r - 6, 5*t - 2*r - 15 = -7*r for t. 1 Let u(p) = 13*p**2 + 595*p - 109. Let l be u(-46). Solve 3*t + b + 7 = 2*b, t + 5*b + l = 0 for t. -4 Let n(z) = -5*z - 116. Let s be n(-24). Suppose -s*o + 3*o = 4, -3*b + 24 = -3*o. Solve d + 3*i = -2, -b*i - i = 10 for d. 4 Suppose 0 = -3*b - 3, -5*d + 4*b - b + 203 = 0. Suppose -9*j = -11*j - 3*g + 20, -d = -5*j - 5*g. Solve 3*x - 9 = -7*p + j*p, -2*p - 3*x = -4 for p. 5 Suppose 0 = 38*h - 1607 + 277. Suppose 5 = 5*f - 0. Let y be (-2)/f*(-3)/2. Solve w - y*w = s - 13, -5*w - 3*s = -h for w. 4 Suppose -751 = -p + 5*a - 770, -22 = -2*p - 2*a. Solve 3*x - z - p = 2*x, 5*x + 5*z = -20 for x. 1 Suppose 14*s - 90 = -62. Suppose 2 = s*z - 2. Solve 4*t - 3*p + p + 8 = 0, -2*p + 4 = -z*t for t. -2 Let l be 30 + -23 + -20 + 21. Solve -8*c + 11*c = 5*z - l, 2*z - 14 = 3*c for c. -6 Let g = 17617 - 17549. Solve -g + 82 = 2*b + 3*t, -4*t + 16 = 0 for b. 1 Let g be 9/9*(3 - 1). Solve -j - 8 = g*c - 1, 21 = -4*c + 5*j for c. -4 Suppose -3 = p - 2*p. Let n(g) = g**2 + 5*g - 4. Let j be n(-6). Let h(x) = x**2 + 137784*x + 2. Let r be h(0). Solve j*a - 4 - 2 = p*o, o + r*a = 6 for o. 0 Suppose -6*t - 59 = 8*t - 101. Solve -8 = -t*c - z + 11, 5*z = 4*c for c. 5 Let v = -66 + 68. Suppose 5 - 9 = -v*g. Let h be -6 + g - -1*7. Solve 4*r - 3*x - 7 - 21 = 0, h*x + 8 = -r for r. 4 Let o(z) = -z**3 + 27*z**2 + 59*z - 26. Let t be o(29). Suppose l - 32 = -3*l. Suppose l = 2*m + 8. Solve 3*u = t*v - 6, -u = -m*u - 3*v for u. -3 Suppose m - 8 = -3. Let a(l) = 8*l - 26. Let d(i) = 9*i - 26. Let c(y) = 3*a(y) - 2*d(y). Let t be c(m). Solve -u = 3*f - 2, -4*f - u + t*u = 19 for f. -1 Let a(j) = -30*j**2 - 388*j + 29. Let y be a(-13). Solve 2*n + 5*f + 20 = -3*n, 0 = 3*n - y*f - 12 for n. 0 Suppose -6*k - 2*k = 3*k. Let l be (-8)/(-3)*18/8. Suppose -5*x + 4*n + 73 = 0, l*n = 2*x + n - 36. Solve x = 4*g - d, k = 4*g - 2*d - 14 - 4 for g. 2 Suppose 2*d + 0*a - 4*a - 250 = 0, -530 = -4*d + 2*a. Let k = -118 + d. Solve -5*i - 2*j - 14 = 9, -k = 3*i - 2*j for i. -5 Let l = 10 - 7. Let y be 6 - (-7 - 3 - -14). Solve -2*u - y*u + 45 = 5*m, -l*m - 3*u = -30 for m. 5 Let y = -15381 + 15393. Solve -5*k - 2*u = 19 + y, -5*k = -u + 22 for k. -5 Suppose -8*x = -12*x + 16. Suppose 0 = 5*l - 4*b - 33 + 25, 6 = 3*l - 2*b. Solve -x = -3*g + l*v, -4 - 1 = 2*g + 5*v for g. 0 Let b = -4 - -9. Suppose -5*y - 17*y - 7 = -73. Solve -y*v + 17 + 0 = -5*u, -4*u + b*v - 11 = 0 for u. -4 Let h(d) = -d**3 - 2*d**2 - 2*d - 1. Let n be h(-2). Let z = 283 + -198. Let a = -40 + z. Solve -5*c - 4*p - a = 0, n*p + 10 = -c + 2*p for c. -5 Suppose 20*x - 23*x + s = -18, -5*x - s = -22. Solve -9*m - 1 = -10*m, -3*m = x*t + 7 for t. -2 Let x(d) = -d**3 - 14*d**2 + 36*d + 68. Let f be x(-16). Solve f*t + 0 = 5*y + 4, -2*t = -2 for y. 0 Suppose -4*m + 0 = -176. Let s be (-4)/44*-174 + 8/m. Let z = 1 - -1. Solve 42 - s = -4*k - z*l, 2*l + 11 = -k for k. -5 Let x(r) = -r**2 - 39*r + 172. Let t be x(4). Solve t = -3*i + w + 3 - 1, 3*w = -2*i - 6 for i. 0 Let f be -6 + (-407)/(-66) + 92/24. Solve 5*i + 3*q + 5 = 0, -f*q - 37 = -i - 61 for i. -4 Let z(s) = -14*s + 112. Let i be z(8). Suppose i = v + 3, -7*x + 2*x = -4*v - 27. Solve -4*l - 22 = 2*o, -5*o - 2*l + 5*l - x = 0 for o. -3 Let t(k) = -11*k**3 - 6*k - 8. Let h be t(-2). Suppose -g + 3*s = -33, 4*s + h = 2*g + 2*g. Solve 0 = 2*o + 2*d + 2, 2*o - 4 + g = -5*d for o. 3 Let g(t) = -3*t**2 + 211*t - 2806. Let y be g(18). Solve -33*p = -38*p + 2*v + y, 0 = 3*p + 4*v - 12 for p. 4 Let j = 3165 + -3163. Solve -4*f + 35 = -j*g + 49, -5*g = -5*f - 15 for g. -1 Suppose -5*h + 25 = 0, -4*t - 4*h + 9 = -5*t. Suppose -84*n + 76 = -80*n. Solve n = -g - 5*r - t, -2*g + r - 5 = 0 for g. -5 Suppose -7 = -9*r + 11. Suppose 5*k + 20 = 3*g + r*g, -3*k = -4*g + 16. Suppose 6*u = g*u. Solve 0 = -3*v + 7*v + 2*z + 16, 3*v - 3*z + 12 = u for v. -4 Let w(p) = -p**3 - 23*p**2 + 23*p - 19. Let l be w(-24). Solve -5*y + 0 = 4*n + 15, -l*y = n for y. 1 Let v(t) = 20*t**2 - 74*t - 12. Let j be v(4). Solve 0 = 5*q - j*a + 13*a, -5*q - 20 = -3*a for q. -1 Suppose -36 + 34 = 2*j. Let r be j/(-2) + 24/16. Solve -3*q + 2*q + f = 0, r = -4*q + 5*f for q. 2 Let x(k) = k**2 - 11*k - 1. Let t be x(11). Let r be (-8 - 16/(-4))/(t + -1). Solve -2*c - 5*o - r = 0, -c - 2 = c - 3*o for c. -1 Suppose 10*q + 40 = -16*q + 34*q. Solve 2*t - 6*t + 5*f = -35, 0 = -t - q*f - 10 for t. 5 Let r = -622 + 26. Let d = r + 599. Solve j + 8 = -4*m - j, -d*m - 2*j - 5 = 0 for m. -3 Suppose 5*b - 315 = 1710. Let w = 409 - b. Solve 7 = 2*l - q, -2 + 11 = w*l - q for l. 1 Suppose -4*m + 3*x = -17, -23 = -4*m + x - 4*x. Solve -m*a = 4*q - 26, 7*a = 3*a - 5*q + 28 for a. 2 Suppose -11*k = -16*k + 30. Suppose 3*g - k*g - 5*a - 4 = 0, -8 = -3*g + a. Suppose j - g - 17 = 0. Solve 5*r - j = -n, -4*n - 8 + 36 = 4*r for r. 3 Let f = -357 + 359. Solve 4 = f*i + 2*q, -25*q + 26*q + 7 = 2*i for i. 3 Suppose 4*n + 3*m = 847, -614 = -42*n + 39*n + 2*m. Suppose 25*j - 77*j + n = 0. Suppose 5*u = -15 + 40. Solve -u*r - 2 = k, -3*r + 15 = -6*r + j*k for r. -1 Suppose -2*y + 5*b - 36 = 0, -86*y + 88*y + 3*b - 28 = 0. Solve 12 = 2*z + y*w, 0 = -2*z - 5*w - 54 + 81 for z. 1 Let n(k) = 16*k + 60. Let r be n(-7). Let v be -2*r/40 + 20/50. Solve 4 = -q, -3*o + 4*q + 13 = v*q for o. 3 Let t = 29994 + -29948. Solve -43*d = -2*y - t*d + 3, y = d + 4 for y. 3 Let y(n) = n**2 + 8*n + 12. Let k be y(-7). Let x(p) = -28 - 2*p + 13 - p**2 - k*p + 7. Let m be x(-5). Solve 4*v - 10 = 2*r + m*v, 4 = -4*r - 4*v for r. -3 Suppose 4*
{ "pile_set_name": "DM Mathematics" }
*k. Let s(i) = -4*i**2 + 71*i + 39. What is s(d(y))? -2500*y**2 + 1775*y + 39 Let g(z) be the second derivative of -z**4/2 + 13*z. Let f(n) = -n - 5*n - 10 + 10. What is f(g(s))? 36*s**2 Let m(t) = 6*t. Suppose -v + 2*k - 2 = 0, 3*v + k = v + 6. Suppose 3*f - 4*h + 6*h - 35 = 0, 0 = -v*f + h + 14. Let l(n) = f - n - 9. What is m(l(y))? -6*y Let y(o) = 3*o + 3*o + 6*o + 8*o - 18*o. Let l(d) = 6*d**2. Calculate l(y(q)). 24*q**2 Let h(x) = -57 + 6*x**2 - 20 + 200*x**2 + 289*x**2. Let q(a) = 19*a**2 - 3. Let f(p) = -3*h(p) + 77*q(p). Let y(m) = 3*m**2. Determine y(f(t)). 1452*t**4 Let v(d) = -314*d**2 - 3*d + 3. Let g(w) = -w**2. Give v(g(q)). -314*q**4 + 3*q**2 + 3 Let t(q) = -q**3 - 23*q**2. Let i be t(-23). Let b(m) = 3*m**2 + 2*m**2 + i*m**2 - 4*m**2. Let j(g) be the first derivative of 7*g**2 - 1. Give j(b(p)). 14*p**2 Let v(u) = -u. Let y(h) = 7*h**2 - 9*h. Let i(l) = 3*l**2 - 4*l. Let f(w) = -w - 5. Let q be f(4). Let n(g) = q*i(g) + 4*y(g). Determine n(v(p)). p**2 Let u(g) = -4. Let a(q) = q - 2. Let m(w) = -2*a(w) + u(w). Let i(v) = 491*v + 1. Give m(i(d)). -982*d - 2 Let v(t) = -t - 7. Let w be v(-6). Let y(m) = 1. Let j(o) = 4*o - 2. Let z(d) = w*j(d) - 2*y(d). Let f(n) = 6*n. Give z(f(k)). -24*k Suppose -7*v = -51*v. Let w(h) be the first derivative of -1/2*h**2 + 9 + v*h. Let z(c) = c**2. What is w(z(q))? -q**2 Let a(x) be the third derivative of x**5/30 - 169*x**2. Let k(h) = -249*h**2. Determine a(k(r)). 124002*r**4 Let b(n) = -10*n - 1. Let x(j) be the first derivative of 2*j**3/3 - 146. What is x(b(z))? 200*z**2 + 40*z + 2 Let n(u) = u. Let p(l) = 23*l + 215. Let t(r) = 13*r + 107. Let c(y) = -3*p(y) + 5*t(y). Calculate c(n(q)). -4*q - 110 Let t(s) = -168*s**2. Let c(b) = -b**2. What is t(c(a))? -168*a**4 Let x(z) = -423*z**2 - 41*z. Let l(y) = -2*y. What is l(x(n))? 846*n**2 + 82*n Let m(h) = 3*h**2 - 5*h. Let f(a) = -268*a. Give f(m(q)). -804*q**2 + 1340*q Let w(h) = -36*h. Let f(u) = -90*u. Let z(t) = 5*f(t) - 12*w(t). Let q be ((-4)/(-10))/((-1)/(-120)). Let a(m) = 25*m + 24*m - q*m. Give z(a(l)). -18*l Let b(q) = -5993*q. Let w(x) = -2*x**2. What is w(b(m))? -71832098*m**2 Let q(j) = -5*j. Suppose -p + 2 = -d, -2*p - 2*d = p - 11. Let i(u) = u**2 - p*u**2 + 6*u**2 - u**2. Determine q(i(f)). -15*f**2 Let x(q) be the first derivative of 107*q**3/3 + 293. Let d(f) = f. Determine d(x(v)). 107*v**2 Let h(y) = 4*y + 14. Let a(q) = 2*q**2 + 6. Determine a(h(o)). 32*o**2 + 224*o + 398 Let p(w) = -3*w**2. Let n(t) = -8*t**2 - 8*t + 15. Let k(a) = -7*a**2 - 9*a + 18. Let j(b) = -5*k(b) + 6*n(b). Determine p(j(q)). -507*q**4 - 234*q**3 - 27*q**2 Let p(o) = 176*o**2. Let z(b) = 593*b. Calculate z(p(m)). 104368*m**2 Let j(m) = 214*m + 63. Let w(n) = -2*n**2. Calculate j(w(s)). -428*s**2 + 63 Let n(x) be the first derivative of x**6/180 + 4*x**3 - 20. Let c(k) be the third derivative of n(k). Let w(o) = -4*o**2. What is w(c(p))? -16*p**4 Let u(z) be the third derivative of 0*z**4 + 5*z**2 + 0 + 1/10*z**5 + 0*z + 0*z**3. Let f(l) be the first derivative of l**2/2 + 1. Give f(u(g)). 6*g**2 Let v(f) be the second derivative of -f**3/3 + f**2/2 - 5*f. Let k(s) = s - 1. Let z(r) = -2*k(r) - 2*v(r). Let w(n) = 2*n**2. Give w(z(i)). 8*i**2 Let v(m) = m. Let n(q) = 329*q - 158 + 307 - 148. Give v(n(p)). 329*p + 1 Let a(f) = -6*f**2 - 10*f. Let j(y) = -128*y - 3. Determine a(j(t)). -98304*t**2 - 3328*t - 24 Let p = 5 - 9. Let n(j) = -j + 4. Let c(v) = -5 + 0 + 4 + 0. Let f(m) = p*c(m) - n(m). Let s(b) = -7*b**2. Give f(s(r)). -7*r**2 Let r(i) be the first derivative of 1 + 0*i**2 - 4/3*i**3 + 0*i. Let b(t) be the third derivative of -t**5/30 - 5*t**2. What is r(b(k))? -16*k**4 Let u(x) = 3*x. Let q(g) be the first derivative of 14*g**3/3 + 759. Calculate u(q(s)). 42*s**2 Let f(i) = -3*i**2. Let x(w) be the second derivative of w**4/6 + 5*w**2/2 + 9*w + 3. What is f(x(z))? -12*z**4 - 60*z**2 - 75 Let z(s) = 3203*s**2. Let w(o) = 24*o. Calculate z(w(q)). 1844928*q**2 Let b(c) = -14829*c - 3. Let i(a) = -5*a. Calculate b(i(x)). 74145*x - 3 Suppose 2*x = -3*x - 65. Let f = x - -15. Let c(j) = j**f - 59*j + 59*j + 0*j**2. Let p(d) = 13*d. Determine c(p(i)). 169*i**2 Let l(x) = 3*x. Suppose 5*f = 4*q + 184, -q = -f - 2*q + 35. Suppose -93 = -3*w + 2*z + z, -3*w + 4*z + 88 = 0. Let d(p) = -f + p**2 + w. What is d(l(y))? 9*y**2 Let m(k) = -167*k. Let p(t) = 89*t. Let z(o) = 8*m(o) + 15*p(o). Let b(l) be the third derivative of l**5/4 + l**2. What is z(b(r))? -15*r**2 Let q(h) = -2721*h. Let a(l) = -l - 148. What is a(q(b))? 2721*b - 148 Let o(t) be the second derivative of -t**4/12 - 4*t + 6. Suppose 0 = -6*i + 5*i + 3. Let j(q) = -2*q - 2*q + i*q. What is j(o(f))? f**2 Let j(h) = 17*h - 103. Let o(s) = 328*s. What is o(j(v))? 5576*v - 33784 Let q(u) = 7025*u. Let x(f) = 5*f. Give q(x(h)). 35125*h Let g(y) = 24*y. Let h(n) = 20*n**2 - 4419*n + 4419*n. Give g(h(q)). 480*q**2 Let a(k) = -2*k + k - k. Let j(f) be the first derivative of 8*f**3/3 + 1215. Calculate j(a(d)). 32*d**2 Let f(p) = 20*p**2. Let r(v) = v**2 - 33*v + 99. Determine r(f(z)). 400*z**4 - 660*z**2 + 99 Let d(w) = 11*w. Let c(o) = 25*o - 70*o + 28*o + 21 + 18*o. What is d(c(p))? 11*p + 231 Let r(a) be the second derivative of 1129*a**3/6 - 761*a. Let z(u) = -2*u**2. Determine r(z(h)). -2258*h**2 Let b(n) = -12*n. Let v(h) be the third derivative of -h**7/1680 - h**5/60 + 23*h**2. Let w(j) be the third derivative of v(j). Calculate b(w(o)). 36*o Let q be (56/20)/(4/10). Suppose 2*l = 3*l - q. Let u(r) = -3*r**2 - r**2 + l*r**2. Let b(c) = -c**2. Give b(u(x)). -9*x**4 Let s(l) be the second derivative of -l**3/3 - 30*l - 5. Let n(i) = i - 1. Let a(o) = 42*o - 1. Let t(d) = -a(d) + n(d). What is t(s(u))? 82*u Let f(k) = -2*k. Let a(q) be the first derivative of -4*q**3/3 - 64. Determine a(f(c)). -16*c**2 Let c(d) = -3*d**2. Let j(v) = 12*v + 10 + 3 - 13. What is j(c(f))? -36*f**2 Let l(z) = 11820*z. Let s(t) = 3*t - 39. Determine s(l(d)). 35460*d - 39 Suppose 0 = 2*y - 0 - 6. Let j(k) be the third derivative of 0*k + 0*k**3 + 0 + 1/24*k**4 + y*k**2. Let z(v) = 3*v. Calculate j(z(q)). 3*q Let r(z) = -3*z**2. Let k(o) be the second derivative of 0*o**3 - o + 1/12*o**4 + 0*o**2 + 0. What is k(r(j))? 9*j**4 Let c(f) = 30*f**2. Let u(n) = 3091*n**2. Determine u(c(l)). 2781900*l**4 Let y(u) = -5*u**2 + 1. Let p(b) = -467*b**2 - 1. Give p(y(f)). -11675*f**4 + 4670*f**2 - 468 Let f(h) = 14*h**2. Suppose 0 = 4*k - 6*k - l + 854, 5*k - 2117 = 2*l. Let p(s) = -2*s + 425 - k. What is p(f(z))? -28*z**2 Let t(d) = -20*d**2 - 10*d. Let c(j) = -5*j - 60. Let r(o) = -4*o - 50. Let y(l) = 5*c(l) - 6*r(l). Give y(t(a)). 20*a**2 + 10*a Suppose -7*y = 15 - 29. Let n(q) = 15*q**2 - 12*q**2 - 5*q**y - 11*q**2. Let g(l) = -4*l**2. Determine g(n(a)). -676*a**4 Let v(y) = -3*y. Let w(f) = -1. Let c(h) = v(h) - 5*w(h). Let r(u) = -u + 1. Let z(q) = -2*c(q) + 10*r(q). Let m(i) = -2*i**2. Determine z(m(t)). 8*t**2 Let y(c) = -c - 1. Let h = 57 + -14. Let t(f) = -75 - 3*f - 10*f - h*f - 4*f. Let a(z) = t(z) - 75*y(z). Let i(v) = -v**2. What is i(a(j))? -225*j**2 Let v(r) = -4 - 135*r + 68*r + 4*r**2 + 67*r. Let c(k) = -12*k. Let f(s) = s. Let t(d) = c(d) + 10*f(d). Determine t(v(u)). -8*u**2 + 8 Let m(i) = 8*i - 7. Let u(v) = 7*v - 6. Let r(y) = -6*m(y) + 7*u(y). Let l(h) = -319*h**2. Give r(l(q)). -319*q**2 Let y(j) = 2*j + 2*j**2 - 2*j. Let s(v) be the first derivative of 0*v**2 + 12 + 0*v + 11/3*v**3. Determine y(s(u)). 242*u**4 Let x(q) = 94*q. Let g(d) be the second derivative of 0*d**2 - 23*d + 0 + 0*d**3 + 1/12*d**4. Calculate x(g(p)). 94*p**2 Let c(f) = 16*f**2. Let t(z) = 8*z - 200. Calculate t(c(l)). 128*l**2 - 200 Let u(m) = -m**3 - 3*m**2 + m + 5. Let a be u(-3). Let k(p) = p - 10*p**a - p + 9*p**2. Let y(o) = 10*o**2. Determine y(k(b)). 10*b**4 Let t(n) = -3*n. Let m(k) = -3144*k**2. What is t(m(i))? 9432*i**2 Let b(w) = 4*w. Let s(f) be the first derivative of 0*f**2 + 0*f - 1/3*f**3 + 31. Determine b(s(j)). -4*j**2 Let h(i) = -7*i**2 - 6*i**2 + 15*i**2 - 3*i**2. Let t(x) = x**2 + 32. What is t(h(z))? z**4 + 32 Let l(g) be the second derivative of -g**6/48 - 9*g**4/4 - 12*g. Let w(d) be the third derivative of l(d). Let a(s) = -s**2. Give w(a(v)). 15*v**2 Let a(r) = -3*r**2. Let o(k) = -2*k**2 - 2*k + 2.
{ "pile_set_name": "DM Mathematics" }
(3 - 8 - (-9 + 6)). -12 Calculate -33 + 25 + 5 + (7 - 12). -8 41 + -36 + (-4 + 2 - (19 - 4)) -12 Calculate -28 - (4 + (-9 - 9)). -14 What is the value of -10 + 4 + (-13 - -12)? -7 Calculate 2 - -10 - (61 - 59). 10 3 - 31 - (7 - 2) - (-31 - -24) -26 What is the value of (18 - (-2 - -26)) + (2 - 2 - -14)? 8 Evaluate -24 + 5 - (6 + -13 + (18 - 8)). -22 Evaluate 15 + (-5 - -9) + -6. 13 What is the value of (-3 - 19) + (71 - 62)? -13 Evaluate -10 + ((2 - -1) + -2 - (-31 - -35)). -13 What is the value of -2 + 1 + 18 + -5? 12 Evaluate 5 - (-4 + 6) - (-16 + 12 + -20). 27 What is (-19 + 16 - (0 + -2)) + (-1 - 0)? -2 What is (0 - (11 + -21)) + -10? 0 What is the value of 14 - (12 + 7 + -3 + -5)? 3 (-10 - (-2 + -9 + 16)) + 3 -12 What is the value of -73 + (35 - -11) - -21? -6 What is the value of (-8 - (17 + -13 - 22)) + -30? -20 (4 + -4 - (7 + -6)) + -17 + -2 -20 Calculate -8 + 2 - 14 - 5. -25 9 + (-21 - (-12 + 23)) -23 What is 13 - (1 - -6) - (6 - -3 - 5)? 2 What is 2 - -8 - 4 - 8? -2 (-2 - (7 - 4)) + (-45 - -76) 26 What is (-6 + (-6 - -1) + 7 - -1) + 12? 9 (6 - (-2 + -2 - -12)) + 5 + -15 -12 Calculate 15 + (-4 - (22 + -11)) - -13. 13 What is 27 + -28 + -41 + 55? 13 Calculate -1 - -5 - -8 - ((-4 - 2) + 15). 3 Calculate -12 + -6 + 18 + 1 + -25. -24 Evaluate (4 - 3) + -10 + -114 + 118. -5 Evaluate -21 + 12 - (2 + -8) - -2. -1 What is (10 - 29 - 4) + 9? -14 What is the value of -7 - (13 - 3) - (-2 - -4 - 5)? -14 What is 5 - (26 - (15 + -9 + 5))? -10 Calculate -9 + (-8 + -2 - (-2 - 0)). -17 -1 + 0 + (-24 - -26) + -9 + 4 -4 Calculate (-24 + 14 - 10) + 26. 6 Evaluate -5 + 1 - (0 + 3 - (-32 + 39)). 0 -27 + (15 - 0) + 4 -8 What is (37 - (-12 + 47 + -15)) + -3 + -1? 13 What is (-7 - -38 - 19) + -29? -17 625 + -623 - (1 + 1 - (-25 - 2)) -27 Calculate 28 + -1 + (-6 - 6 - (-14 + 7)). 22 Calculate -11 - (-3 + 7 + -4) - -6. -5 What is -22 + 24 + 14 + -5? 11 Evaluate 17 + (-27 - (6 - 10)). -6 What is the value of 23 - 48 - 16 - -39? -2 Calculate (-25 - -68 - 33) + -32. -22 Calculate -13 + 0 - (27 + -50). 10 What is the value of (2 - 6) + -5 - (0 + -2 - 21)? 14 What is (3 - 4) + 33 + -16? 16 Evaluate 7 + (8 - -23 - 17). 21 Evaluate (-10 - (-1 + -1)) + (29 - 23) + -3. -5 Evaluate -8 + 9 + (6 - 5 - 1) + 0. 1 What is the value of 4 - ((11 - -8 - 3 - 9) + -16)? 13 What is (-14 - (-15 + 1)) + -8? -8 (28 - -7 - 10) + -14 - -5 16 (-9 - -11 - -10) + (-2 - 0) 10 Calculate 13 + (-3 - ((-8 - -6) + 7)). 5 What is 0 + (3 - 9) - ((11 - 28) + 9)? 2 What is -146 + 157 - (-3 + 2)? 12 Calculate -16 - (-10 - (-4 + 11 + -25) - 1). -23 What is 2 - 4 - (189 + -174)? -17 Evaluate 17 + (-47 + 1 - (-196 + 193)). -26 Calculate (21 - 42) + (-14 - -31). -4 15 - (-3 + 4 + (1 - -3) + -8) 18 0 + (9 - (-2 + 6) - (-12 + 8)) 9 What is the value of 4 - (-1 + 20 + -14 + 10)? -11 Calculate 5 + (-106 - -95) + (-1 - (10 - -1)). -18 Evaluate (-2 - -13) + -67 + 46. -10 7 - 0 - (-22 - -16) - 7 - -2 8 Evaluate (7 - (9 + 4) - -3) + 2 + 3. 2 What is the value of 0 + 22 + 10 + (-5 - 14)? 13 What is (-7 - -8) + 4 + (7 + -16 - -37)? 33 Calculate -220 + 229 - (2 + (2 - 3)). 8 What is the value of 46 + -20 + (-16 - -4) - -1? 15 -9 - ((0 - (-8 + 6)) + -5) -6 What is 0 - 12 - ((3 - -13) + -5)? -23 -38 + (30 - -1) - (-2 + 2 + -11) 4 Evaluate (-22 - 0) + 47 + -20. 5 Evaluate -5 - (7 + (9 + -6 - (1 + 1))). -13 0 - 6 - -4 - (1 - -1 - 2) -2 What is 39 + -54 + -1 + 2 - -16? 2 -25 + 24 - (12 + -12 - (0 + 3)) 2 What is the value of -102 - -116 - (10 - 8)? 12 Calculate -24 + (-8 - (3 + -21) - 1). -15 Calculate 2 + 18 + -3 + (0 - 1 - -2). 18 6 - -5 - (-5 + (19 - 25)) 22 Calculate 1 + -1 + 3 + (13 + -1 - 13). 2 Evaluate -22 + 1 - (549 - 586). 16 What is the value of -12 + (19 + -12 - 9) - -25? 11 What is -24 + -8 + 20 + -15? -27 What is 1 - -8 - (216 + -214)? 7 Evaluate (-2 - -14) + 35 + 49 + -83. 13 Calculate 4 - (-5 - 20) - 31. -2 What is (-3 - -11) + (-10 - -8) + 3? 9 3 + (3 - -2) + -2 + -8 + 17 15 Calculate (-2 - 3) + -1 - 0 - -3. -3 What is (7 - 3) + -8 + 2? -2 Evaluate 1 + -6 + 10 + -22 + -4. -21 6 - (-14 - 10 - -47) -17 Calculate -10 - -9 - -8 - 3. 4 Evaluate -15 - -7 - (-16 + 8 + 12). -12 Evaluate 4 - (3 - (10 + (5 - 13))). 3 Calculate (11 - (-1 - 1)) + -60 + 63. 16 What is the value of 7 + -51 + 37 + 17? 10 What is 0 + (-3 - -6) + -6 - 4? -7 Evaluate (4 - (10 + 7)) + 21. 8 Calculate 15 + -19 + (-3 - 1) + -5 + 12. -1 What is (5 - (1 + 4)) + (-11 - (-13 + -20))? 22 0 - (4 + -6 - (-6 + -1) - -4) -9 Calculate 12 - (-27 + 51 - 2). -10 What is the value of (29 - 20) + 13 + 13? 35 Evaluate 2 + 1 - (21 - 30). 12 Evaluate -29 + (2 - -7 - (35 + -37)). -18 What is -8 + 31 + -34 - 18? -29 What is the value of (24 - 10) + (-9 - -7 - -1 - 8)? 5 Evaluate -59 - (2 + -37) - -22. -2 Calculate (-13 - -11) + (-3 - 1) - (22 - 29). 1 Calculate 2 + -1 - (14 + -29 + -8). 24 (2 - 12) + 22 + -27 -15 Calculate -15 - (-8 + -24 - -8) - (-4 + 2). 11 -94 + 99 + (2 - 4) 3 Evaluate 18 + (-17 - (-14 - -9)). 6 Evaluate -3 + (4 - -1) + -9 + 6 - 15. -16 -14 + -1 + 10 + 13 8 What is (3 - 22) + (9 - -1)? -9 Calculate -31 + 59 + (-32 - -13). 9 Evaluate 6 - (11 + 14 + -26). 7 Evaluate -7 + (23 + -21 + (-5 - 2) - -6). -6 Evaluate 0 + 1 + 7 + -3 - (-9 + 15). -1 What is the value of (7 - (8 - -16)) + 21? 4 What is (23 - -2) + -3 + (13 - 1 - 15)? 19 What is the value of 8 - 15 - (-3 - -2)? -6 Calculate -42 - -23 - -47 - 14. 14 What is the value of (4 - -11 - 10) + -6 + -16 + -2? -19 Calculate (20 - (-5 + (7 - -3) - 0)) + -7. 8 Evaluate -33 + (91 - 26) - 19. 13 What is (1 - 1) + (-48 - (45 - 101))? 8 Calculate (-7 - (-3 - -2)) + (64 - (18 - -32)). 8 (1 - 25) + 27 + (-29 - -2) -24 -6 + (1 - (0 + 7 + -14)) 2 What is the value of 30 + -28 + -11 - -37? 28 Calculate 6 - (-4 + 0 - (4 + -5)). 9 Calculate (11 - (-5 + 3)) + 0. 13 What is (-5 + 1 - 17) + (17 + -9 - 4)? -17 What is the value of (-37 + 1 - -45) + 1 + -39? -29 What is (-1 - 3 - (-4 - 5)) + 5? 10 Calculate (-8 - 2) + (-74 - -72). -12 Evaluate -28 + (-5 - (-8 + 8 + -5)) - -6. -22 Evaluate 8 + -17 + 18 - (26 - (-2 + -4)). -23 Evaluate -6 - (-64 - -54 - (3 + -2 - 6)). -1 What is the value of (-1 - 3) + -7 + 1 + -2? -12 Evaluate 15 - (10 - (7 - (-2 - 4))). 18 Calculate 3 - (2 - 12) - (-3 + (13 - 10)). 13 What is the value of (2 - (-10 - -2 - -2)) + -15? -7 What is the value of -17 + 19 + -7 + 10? 5 Calculate -9 - 4 - -16 - (-2 - (-2 - -1)). 4 What is the value of -367 + 359 + (12 - -2)? 6 What is the value of 7 - (-9 + 31) - (-9 - (-5 + 3))? -8 Evaluate 9 - (-8 - -25) - (-10 + -1). 3 What is the value of 31 - 9 - 29 - (0 + -1)? -6 What is the value of (32 + -59 - 8) + 2 + (6 - 0)? -27 Evaluate -6 - (8 + -1) - (-8 + 2). -7 16 + (9 - 4) + -9 + -9 3 -17 + 7 + 4 + -24 + 4 -26 What is the value of 2 + 3 + (-29 - -7 - -20)? 3 Evaluate -2 + -1 + -3 + 0 - (131 + -144). 7 Calculate 1 + -10 + 10 + 19 + (-8 - -9). 21 What is the value of -17 + (12 - 6) + -13? -24 What is (19 - (12 - -1)) + -9 + -20? -23 Evaluate 1 + ((-8 - -3) + 4 - 3) - -15. 12 Calculate 36 + -41 - (-6 + 0). 1 What is 1 - (-7 + 1 + 6 + (-9 - -4))? 6 What is -14 + -8 + -10 + 19? -13 1 + (-6 - 3 - 8 - -9) -7 Calculate -8 + -17 + 16 + 1. -8 What is the value of (1 - 14 - 1) + (562 - 566)? -18 Evaluate 0 + 2 + (-18 - -21) + 7. 12 -11 - -3 - (6 + (-14 - -25) + -18) -7 What is 5 + -11 + (2 + -5 - (1 + -7))? -3 What is the value of -6 + 11 + 2 - (-1 - -2)? 6 What is the value of (180 - 180) + -2 + -2 + 2? -2 What is the value of 3 - (3 - (-13 - -8 - -9))? 4 86 - 112 - (-3 + 3 + -7) -19 Evaluate -2 + 12 + -3 + -51 - -16. -28 -20 - ((-12 - 2) + (6 - (5 - 6))) -13 What is 7 - (-6 + 2 - (-14 - -35 - 12))? 20 Calculate 5 + 0 + 2 + -2 + 12 + -39. -22 15 + 1 + (653 - 688) -19 Calculate 8 + 12 + -26 + (3 - 6). -9 Calculate 104 - 94 - (-3 + 12). 1 What is the value of 0 + (2 - 6) - (0 - 0)? -4 Calculate (1 - -20 - 2 - -1) + 56 + -63. 13 Calculate 21 + 10 - 19 - -6. 18 Evaluate 304 + -307 + (-3 - -1) + -1. -6 -2 + 9 + -6 - ((1 - -5) + -7) 2 What is 13 + -9 + (-25 - -1)? -20 Evaluate -10 - -1 - (-3 - 3) - 3 - -5. -1 What is -8 + (1 + 10 - (-18 - (-8 + -16)))? -3 (-6 - -4 - -16) + (-18 - (-5 + -4)) 5 What is the value of 0 + (8 - (-3 - (-7 + -7)))? -3 Calculate (2 - 3) + (13 - (6 + 7 + 0)). -1 What is 1 - -1 - 0 - (-5 + -52 + 54)? 5 What is -29 - (0 - 0) - (-1661 + 1658)?
{ "pile_set_name": "DM Mathematics" }
/38)/2 - 22/209. Solve l*b - 16 = -4*i, 2*i = -b + 8 - 0 for b. 0 Suppose -5*n + 3*c = 4*c - 19, -2*c + 14 = 4*n. Solve -2*u + 6 = -4*p, n*u = u + p + 4 for u. 1 Suppose 16 = 4*o + y, 7*o - 4*o + 2*y = 17. Let v = -12 - -10. Let b(f) = f**2 + 2*f + 3. Let n be b(v). Solve -d - q = n*q - 11, o = -d + 3*q for d. 3 Let x(u) = u**2 - 2*u + 4. Let h be x(-3). Let g = 24 - h. Solve -r - 3 = r + k, 4*k + 25 = g*r for r. 1 Suppose -10*c = 2*c - 60. Solve -2*u - n = -6*n - 1, 0 = 4*u + c*n + 13 for u. -2 Let h be ((-4)/(-8) + -3)*-2. Let f = 9 - h. Let z be (-475)/(-20) - (-1)/4. Solve -g - 2*g - z = f*p, 0 = -g - 3*p - 13 for g. -4 Suppose -c = -3*s + 26, -2*s = -3*c - 100 - 6. Let z = c + 42. Solve -z*w - 8 = -m, 5*w + 4 + 6 = 2*m for m. 0 Let f(t) = -4*t + 18. Let z be -1 - -11 - (9 + -3). Let c be f(z). Let v = -5 + 8. Solve 2*x - 4*r = 0, v*x + 5 = -r - c for x. -2 Let a = -124 - -143. Solve 3*s = -4*p - a, s + 4*p - p = -8 for s. -5 Let i be 0/((-15)/(-5) + -5). Let j be i*(27/6)/(-9). Let p be j - (-4 + 0/(-3)). Solve -p*q - 2*u + 4*u - 18 = 0, 25 = -4*q - 5*u for q. -5 Let z be 2/((8/(-6))/(-2)). Solve 3*a - 2*j = -9, -a - z = -5*j - 0 for a. -3 Suppose 4*o + 112 = 11*o. Suppose -w = 4*a - o, 4*w + 12 = 3*a - w. Suppose 2*j + j = 12. Solve a = -j*t + l, -l - 2*l + 12 = 4*t for t. 0 Let q be 0 + 2 - (-12)/3. Let m be ((-4)/q)/((-12)/18). Let v be (-4 + m)/(6/(-4)). Solve -v*b + 4*i + 18 = 0, -b - 4*i = -i + 11 for b. 1 Suppose 0 = -6*n + 34 - 4. Solve 5*f + 2 = 7, 5*f + n = -5*j for j. -2 Let x be (0 + -3 - -11) + (9 - 11). Solve 5*w = -d + 26 - x, 3*w = -5*d + 12 for w. 4 Let r be -2 + 3 + 156/4. Suppose 0 = 3*d + 7 - 1. Let k(b) = -b**3 - 2*b**2 - 3*b - 1. Let m be k(d). Solve 3*y + 4*j + 28 = 0, j - r = m*y + 6*j for y. -4 Let s be 0/(-1) - 8*(-12)/48. Let n(a) = a - 1. Let r be n(5). Solve 4*x = y - 5*y, 30 = -s*x + r*y for x. -5 Suppose 35*g - 48*g + 39 = 0. Solve -3*c + g*q = -0*q + 3, 5 = c + q for c. 2 Suppose -22*w + 30*w - 32 = 0. Solve -w*u - 4*b = -12, u + 0*b = 3*b - 5 for u. 1 Let a be 2/(4 + ((-8)/(-28) - 4)). Solve -2*s + 2*d + 6 = 0, 3*s - a = 2*d + 3*d for s. 4 Let g = 38 + -38. Solve 3*b + 5*u - 31 = g, 2*b + 15 + 1 = 4*u for b. 2 Let y = -222 - -224. Solve 0*o - y*t + 17 = 3*o, 3*t + 7 = 2*o for o. 5 Suppose 14 = -2*h - 5*h. Let x = 2 + 1. Let b be (x/h)/(4/(-8)). Solve 0*t + 3*t - 3 = b*a, 0 = t - 2*a + 1 for t. 3 Suppose 0 = 2*l + 2*f + 4, -3*l + 4*f = -f + 22. Let p be (-14)/(-4) + l/8. Solve 0 = b, -6*b + 2*b = -p*w - 12 for w. -4 Let f(o) = -o**2 - 10*o - 8. Let k be f(-8). Suppose 5*c = k*c - 15. Suppose -1 = 4*j - 13. Solve -5*d = -5*m, -j*m + c*m = -d + 3 for m. 1 Let l(g) = g**3 + 4*g**2 - 3*g - 12. Let v be l(-4). Solve 0 = r - 4, v*r = -2*u + r - 12 for u. -4 Suppose 8*t - 70 = 10. Solve 0 = -5*a - 4*c + 19, -5*a + 2*c + t = -3 for a. 3 Suppose -35*s + 117 = 47. Solve -s*y + 14 = -2*c, 4*c = -2*y + 2*c + 6 for y. 5 Suppose 2*h = -4*g - 8, -30*h + 4 = -3*g - 31*h. Solve -4*v + 5*c = g, -2*v = -0*c - 3*c for v. 0 Let x = -2 + 4. Suppose 10 = -4*z + 5*z + x*k, 52 = 4*z - 4*k. Let s = -12 + z. Solve -4*i + i + 2*w = 18, s = 5*i + 3*w + 11 for i. -4 Let a(m) = -m**3 + 4*m**2 + 5*m + 5. Let p be a(5). Suppose -5*b - 67 + 217 = 0. Let o = -20 + b. Solve -5*q + 0*z = p*z + o, 2*q - z = -4 for q. -2 Let y = 47 - 27. Suppose -26*u + 5 = -25*u. Suppose y = u*f + 5. Solve 15 = -f*o - 5*a, 7*o - 3*o - 4*a = -20 for o. -5 Suppose 0 = t + 4 - 111. Let r = 112 - t. Solve -r*b + 30 = 5*i, -3*i + 3*b = b - 3 for i. 3 Let f be 88/(-3) - (-4)/12. Let a = 31 + f. Let l(p) = p + 8. Let k be l(-4). Solve 2*d - 5*d = -4*w + 2, -a*w + 6 = -k*d for d. -2 Let w = -706 - -706. Solve 22 = 5*o - 3*u + 21, w = -2*o + 4*u - 8 for o. 2 Let c = -1 + 5. Suppose -2*x - 15 = -5*m, 0*m = c*x + m - 25. Suppose -p + x*p = 4. Solve l - 13 = 5*g, -4*g - p - 9 = -l for g. -3 Let o = -118 + 121. Solve m + 4*h + 3 = 6*h, m - o*h + 5 = 0 for m. 1 Suppose -3*f = -8*f - 110. Let g = 38 + f. Solve 3*x = -y + 9, -g = -x - 3*x for y. -3 Let l = -5 - 11. Let s = l - -32. Solve 2*z - 2*w + s = 0, 2*z - w = 4*w - 31 for z. -3 Let u = 299 + -297. Solve 4 = -2*v + u*d, -3*v - 5 - 9 = d for v. -4 Let z = -8 + 10. Suppose 10 = 4*s - 0*s - z*c, s = 3*c + 10. Let u = s - -6. Solve -4*m = -3*b - u, 0 = -3*m + 2*b - 3*b - 11 for m. -2 Let h be ((-2)/6)/(2/(-24)). Suppose -2*x + 28 = 4*t, -8 - 53 = -5*t + h*x. Solve -2*i = 3*c + t, -c - 2 - 1 = 3*i for i. 0 Suppose 3*w - 40 + 13 = 0. Let t(y) = -y**3 + 7*y**2 + 18*y + 9. Let p be t(w). Let l be (0/(-2) - -3) + 0. Solve 5*r - 4*f = -31, -2*r - l*f - 3 = -p for r. -3 Let y = -1 + 2. Let h = -31 - -34. Suppose -1 = 2*l - h*t, -2*l - 2*t + 18 + 6 = 0. Solve -5*o = 5*r + 15, l*r - 4*r = -o - y for o. -4 Let z = 140 + -134. Suppose z*m - 42 = -m. Solve -3*u - m = 5*h, u = -2*u + h + 12 for u. 3 Let t = -223 - -228. Solve -n - 4 = -y, -3 = -2*n + t*y - 23 for n. 0 Let m be 2 - -1 - (1 + 1 + 1). Suppose 4*u - 2*k - 10 = m, -k + 2*k + 11 = 5*u. Solve -u = -2*t - 2*o - 0, -o = 4*t + 8 for t. -3 Suppose -208 = -4*f - 0*f. Let d = -26 + f. Solve 3*z + 8*o = 3*o - d, -5*z = -4*o - 6 for z. -2 Let d = -358 + 359. Solve 0 = -f - 0*y + 3*y - 17, f = -y - d for f. -5 Let n be -2 + 4/4 - -6. Let l be (-2)/4*(-1 - -1). Suppose l = -3*v + 2*o + 11, 0*v = -2*v + n*o. Solve -4*t + 0*t + x = -1, -4*t + v = -5*x for t. 0 Let t(j) = -2*j**2 - 3*j - 9. Let i be t(-5). Let v be 10 + -11 + 1 + i. Let x be (-2)/8 + (-363)/v. Solve r - 6 = 5*c, r + 14 = 3*c - x*c for r. -4 Suppose -i - 1 = -4. Suppose 9*l - 48 = 6*l. Let c = -12 + l. Solve -z - i*g + 2 = 4, -4*g - 16 = c*z for z. -5 Let v be (26/(-6) + 4)/((-2)/24). Suppose 2*m = i + v*i + 10, -2 = i. Solve -s + 12 + 2 = -4*h, -4*h - 16 = m for s. -2 Let w be 1/4 + (-22)/(-8). Let k(x) = 5*x + 12*x**2 - 6 + 26 - 13*x**2. Let i be k(6). Solve -w*c = -r - i, r + 0*c - 4*c + 19 = 0 for r. 1 Let f be (-12)/(2/5*-1). Let y = 46 - f. Solve c + c + 3*a - y = 0, a = 4*c - 4 for c. 2 Let z = 4 - 4. Let y = z - -2. Let m = 17 - 16. Solve 3*g = -y*h - m, 5*h + 3*g + 11 = h for h. -5 Let d(h) = -2*h**2 - 3*h + 2. Suppose -3*t + 8 = -7*t. Let b be d(t). Solve 0*l + l = -5*r + 5, l + 3*r - 1 = b for l. -5 Let k = -6 - -10. Suppose 0 = k*i + 4*v + 32, 5*v - 15 = 10. Let c = i - -18. Solve 4*q - 10 = -2, 4 = -c*r - 3*q for r. -2 Suppose 4*d - o - 26 = o, -5*o = -4*d + 41. Suppose 2*b = -5*u + 22 + 8, d*u + 4*b = 36. Suppose 0*f + 4*f = 0. Solve f = -2*q + u*i, i + 14 = 3*q + 2*i for q. 4 Let o be (-54)/(-144) - (-90)/16. Let c = o + -6. Suppose 3*x = -2*s + 6, 0 = 5*x - 0*s - 5*s - 10. Solve c = 2*v + 4, 0 = x*w + 5*v - 1 + 5 for w. 3 Let d = 23 + -19. Suppose -o + 1 - 42 = -3*w, 10 = w - d*o. Solve 4*t = -m + 20, 2*m - 6 = -4*t + w for t. 5 Let w(k) = k**2 - 24*k + 4. Suppose -3*a + 5*q = -72, -a + 24 = -0*q - 4*q. Let m be w(a). Solve -2*r - m + 0 = 0, 0 = -h + 4*r + 3 for h. -5 Suppose -4*c + 5*p = 10, 2*c = -3*p + 3 + 3. Suppose 0 = 46*u + u - 235. Let z = -6 - -10. Solve c = -z*s - 3*b, u*b = 2*b for s. 0 Let m be (-4)/160*-8 + 64/5. Solve -3*p + 22 = 4*u, -4*u + 5 + m = p for u. 4 Suppose 32*l = -0*l + 256. Solve 0 = 4*r + 2*d - 16, d = 2*r + 6*d - l for r. 4 Let u = 27 + -22. Suppose -5*o + 22 = -3*r, 0*r + 10 = 3*o - u*r. Solve 2*y + j + 11 = 4*y, -30 = -o*y + 3*j for y. 3 Suppose -20 - 94 = -6*q. Let i = q + -15. Solve -i*c + 2*k = 12, 4*c + c = 3*k - 16 for c. -2 Let w = 17 - -7. Let k be (-1 + -3)*(-5 + 3). Let o = 11 - k. Solve -3*j + o*i + 0*i - w = 0, 3*i = -5*j for j. -3 Let i(w) = -w**2 - 16*w - 11. Let v be i(-14). Let g = v + -12. Suppose 4*k = g*d + 2, k + 4*k = -5*d + 25. Solve -k*y = -5*b - 40, 3*b + 5 = y - 15 for y. 5 Let h(f) = 3*f + 2. Let y(g) = 7*g + 4. Let d(n) = 5*h(n) - 3*y(n). Let k be d(-1). Solve -k*v = 20, -2*a + 5*a - 11 = v for a. 2 Let g = -1606 - -1611. Solve 4*u - 9 = 5*u + 3*v, 4*v + 12 = -g*u for u. 0 Let p be (3 - 4)*1*-20. Let t = p + -19. Suppose -3*h - t = 3*g - 10, 4 = 4*g. Solve -d - d - 5*a = 35, -h*a - 35 = 5*d for d. -5 Let h = 1 - 8. Let b(u) be the first derivative of -u**4/4 - 2*u**3 + 7*u**2/2 + 4*u + 19. Let k be b(h). Solve -3*o - 11 = -k*l, -5*o - 3*l + 4 = -26 for o. 3 Let u = 372 + -369. Solve -5*v + 3*b - 7 = 5*b, 2*v + u*b + 5 = 0 for v. -1 Suppose 4*g - 1
{ "pile_set_name": "DM Mathematics" }
rob of picking 2 b when two letters picked without replacement from {s: 2, b: 2, y: 1}. 1/10 What is prob of picking 1 d and 3 q when four letters picked without replacement from {d: 4, q: 16}? 448/969 Four letters picked without replacement from txtxqmphh. What is prob of picking 1 p, 1 q, and 2 t? 1/126 Four letters picked without replacement from vbbbvv. Give prob of picking 2 b and 2 v. 3/5 Three letters picked without replacement from {j: 4, e: 2}. Give prob of picking 2 e and 1 j. 1/5 Three letters picked without replacement from mmxmmxpxmmxppxxpx. Give prob of picking 1 m, 1 x, and 1 p. 21/85 What is prob of picking 2 w when two letters picked without replacement from {w: 2, s: 3, g: 5}? 1/45 What is prob of picking 3 q and 1 j when four letters picked without replacement from qfjffffqqjqj? 4/165 Three letters picked without replacement from fdffffffdfddfddffdf. What is prob of picking 2 f and 1 d? 154/323 Calculate prob of picking 2 u and 2 w when four letters picked without replacement from {b: 3, u: 2, w: 12}. 33/1190 Four letters picked without replacement from fgrffrgrgrfrgdfrg. What is prob of picking 1 g, 2 r, and 1 d? 15/476 What is prob of picking 1 j, 1 u, and 1 q when three letters picked without replacement from mqgnmugj? 1/56 What is prob of picking 3 h when three letters picked without replacement from {h: 15, o: 4}? 455/969 What is prob of picking 1 t and 3 w when four letters picked without replacement from ttwtwbwwbtww? 16/99 Three letters picked without replacement from dvdvvvdvvdvd. What is prob of picking 1 v and 2 d? 7/22 Calculate prob of picking 1 h and 3 o when four letters picked without replacement from {h: 4, v: 1, o: 3}. 2/35 Three letters picked without replacement from {d: 5, e: 14}. Give prob of picking 1 e and 2 d. 140/969 Three letters picked without replacement from {t: 16, r: 4}. What is prob of picking 1 t and 2 r? 8/95 Three letters picked without replacement from kklxxkj. What is prob of picking 2 x and 1 l? 1/35 Two letters picked without replacement from brbqzbbi. What is prob of picking 1 i and 1 r? 1/28 Two letters picked without replacement from rrtenza. Give prob of picking 1 t and 1 z. 1/21 Two letters picked without replacement from jdosjpjojoj. What is prob of picking 1 j and 1 s? 1/11 Calculate prob of picking 1 f, 1 p, and 1 m when three letters picked without replacement from {d: 5, f: 4, l: 3, p: 5, m: 2}. 40/969 Four letters picked without replacement from ihhhhhhihhh. What is prob of picking 2 i and 2 h? 6/55 Three letters picked without replacement from ijijjjiijiitjtjijrj. What is prob of picking 1 i and 2 t? 7/969 Four letters picked without replacement from llllllltlllllkll. What is prob of picking 4 l? 11/20 What is prob of picking 3 d and 1 t when four letters picked without replacement from tttdtdtttdtttt? 1/91 Two letters picked without replacement from {v: 1, l: 1, b: 1, x: 1, y: 2, o: 1}. What is prob of picking 1 y and 1 v? 2/21 What is prob of picking 1 j and 1 n when two letters picked without replacement from njjnjjjjjjjjnjj? 12/35 Four letters picked without replacement from {x: 1, d: 1, u: 4, l: 2, q: 3, i: 1}. Give prob of picking 1 d, 2 q, and 1 i. 1/165 Four letters picked without replacement from {d: 1, g: 2, h: 4, q: 4}. What is prob of picking 1 d and 3 h? 2/165 What is prob of picking 1 s and 1 y when two letters picked without replacement from {s: 2, y: 5}? 10/21 What is prob of picking 2 h, 1 a, and 1 y when four letters picked without replacement from jhhjsjhjjjhsahyhjjjj? 1/323 Calculate prob of picking 1 c, 2 u, and 1 n when four letters picked without replacement from {t: 1, u: 4, c: 4, n: 2}. 8/55 What is prob of picking 3 w and 1 j when four letters picked without replacement from {w: 4, x: 6, j: 1, z: 1, a: 1}? 4/715 What is prob of picking 1 d and 1 b when two letters picked without replacement from {b: 1, c: 2, p: 1, n: 5, d: 3}? 1/22 Two letters picked without replacement from {u: 2, k: 1, f: 1}. Give prob of picking 1 f and 1 u. 1/3 Calculate prob of picking 2 t and 1 h when three letters picked without replacement from {h: 7, q: 6, t: 2}. 1/65 Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {r: 1, e: 3, l: 1, y: 2}. 2/21 What is prob of picking 1 c and 1 j when two letters picked without replacement from {o: 1, j: 1, p: 1, c: 1, l: 2, v: 1}? 1/21 Two letters picked without replacement from tduddddtdddaidf. What is prob of picking 1 d and 1 i? 3/35 Calculate prob of picking 1 t, 2 h, and 1 a when four letters picked without replacement from {a: 6, h: 3, v: 2, b: 2, t: 2}. 12/455 Three letters picked without replacement from zrzz. Give prob of picking 3 z. 1/4 What is prob of picking 2 w and 1 p when three letters picked without replacement from pwhuujjpwwuoowp? 18/455 Three letters picked without replacement from {x: 1, l: 1, t: 1, n: 1, k: 1}. Give prob of picking 3 t. 0 Three letters picked without replacement from {q: 2, d: 9}. Give prob of picking 2 q and 1 d. 3/55 Two letters picked without replacement from wbvlmlv. Give prob of picking 2 v. 1/21 Calculate prob of picking 1 k, 1 i, and 1 r when three letters picked without replacement from {z: 1, r: 2, v: 1, k: 2, i: 10}. 1/14 Three letters picked without replacement from {i: 5, u: 8}. Give prob of picking 3 u. 28/143 Calculate prob of picking 2 o and 1 s when three letters picked without replacement from yyyyosspoooys. 9/143 Three letters picked without replacement from jxkxwnnjm. What is prob of picking 2 j and 1 m? 1/84 Two letters picked without replacement from {r: 4, c: 1, d: 7, v: 6}. Give prob of picking 1 c and 1 v. 2/51 What is prob of picking 2 v when two letters picked without replacement from vvgvg? 3/10 Calculate prob of picking 2 j when two letters picked without replacement from {s: 2, b: 1, h: 1, z: 4, j: 2}. 1/45 Calculate prob of picking 3 f and 1 p when four letters picked without replacement from fpppffffppfppppf. 9/52 Two letters picked without replacement from {s: 6, o: 3, c: 8, g: 1}. What is prob of picking 1 o and 1 s? 2/17 Calculate prob of picking 2 h and 1 q when three letters picked without replacement from hhhhhhhqhq. 7/15 Calculate prob of picking 1 u and 3 j when four letters picked without replacement from jujjeuuueu. 1/42 What is prob of picking 1 l, 1 t, and 2 z when four letters picked without replacement from {z: 2, l: 1, q: 1, t: 2}? 2/15 Four letters picked without replacement from qiqqiiqiqqiqqq. What is prob of picking 4 i? 5/1001 What is prob of picking 1 c and 1 m when two letters picked without replacement from {m: 1, c: 3, r: 1, e: 5, p: 3, d: 2}? 1/35 Two letters picked without replacement from {h: 7, z: 2, i: 5}. Give prob of picking 1 h and 1 z. 2/13 Two letters picked without replacement from {n: 1, l: 3, a: 4, u: 3}. What is prob of picking 1 a and 1 n? 4/55 Calculate prob of picking 1 a and 2 v when three letters picked without replacement from vpapaavaaaap. 7/220 Calculate prob of picking 2 u and 1 h when three letters picked without replacement from {h: 5, u: 5}. 5/12 Four letters picked without replacement from {d: 1, w: 2, j: 1, o: 2, s: 6, r: 3}. Give prob of picking 3 s and 1 o. 8/273 Two letters picked without replacement from {j: 1, l: 1, c: 1, w: 1, g: 1}. What is prob of picking 1 j and 1 w? 1/10 Two letters picked without replacement from {t: 5, o: 15}. Give prob of picking 1 o and 1 t. 15/38 What is prob of picking 4 c when four letters picked without replacement from {c: 5}? 1 Two letters picked without replacement from ffdyomdb. What is prob of picking 1 o and 1 m? 1/28 Three letters picked without replacement from ktkttttztkkttttkk. What is prob of picking 2 k and 1 t? 15/68 Three letters picked without replacement from {w: 2, x: 5, k: 7}. Give prob of picking 3 k. 5/52 Calculate prob of picking 1 y and 2 i when three letters picked without replacement from ayiwayyaaaiywwa. 4/455 Four letters picked without replacement from oixxiiiixox. What is prob of picking 2 o, 1 i, and 1 x? 2/33 Two letters picked without replacement from nhvvuvnuvuhnvounvvv. What is prob of picking 1 n and 1 o? 4/171 Four letters picked without replacement from hhhxhxxxhhhxxx. What is prob of picking 3 x and 1 h?
{ "pile_set_name": "DM Mathematics" }
for f. 5 Suppose -x + 1 = g - 5, -2*g + 12 = -x. Suppose -g*b + b = -3*f, b = 4*f. Solve -3*c + b = -6 for c. 2 Suppose -2*m = -3*v - 8, -m - 4*m = -v - 7. Solve 0 = -r + 1 + m for r. 2 Let s = 39 + -23. Let k = s + -13. Solve -k*i = -i for i. 0 Let p be (20/(-16))/((-3)/12). Suppose -p*t - 3 = -13. Solve -5*y - t = 3 for y. -1 Let y(m) = 3*m**2 - 9*m - 9. Let o be y(4). Solve 8*c - 10 = o*c for c. 2 Let l be (-2 - -2)*1/2. Let n = -2 - -10. Solve l = -0*i + 4*i + n for i. -2 Suppose 0 = 5*m - 4*o - 4, 5*m + 5 = -5*o - 0. Let l be 8 - m/((-2)/1). Solve -5*q - l = 12 for q. -4 Suppose -r + 2*r - 2 = 0. Suppose 2*u + r*u = 0. Solve -2 = -u*l - l for l. 2 Suppose -3*y = 0, 0*o + 5*o = -2*y + 55. Solve 3 = -4*m + o for m. 2 Let g be (-3)/(-6)*(10 + 0). Let t be 1/g - 78/(-10). Solve -20 = 4*a - t for a. -3 Let h = -7 - -16. Let n(t) = -t + 12. Let a be n(h). Solve -2 = f - a*f for f. 1 Let f(x) = x**2 + 3 + x**3 - 1 - 2*x**2 - 4*x**2. Let b be f(5). Solve 0 = b*n + n - 15 for n. 5 Suppose -3*b - 35 = -8*b. Solve -k - 4 = -b for k. 3 Let g(h) = h - 2. Let m be g(4). Suppose v = -5, 5*v = -2*a - m*a - 13. Solve -7 = 5*r + a for r. -2 Suppose 3*y = -y. Let u be -1*(-3)/6*y. Suppose 4*b - 41 - 19 = -4*a, -2*b - 5*a = -30. Solve -4*q + q + b = u for q. 5 Let n(h) = -h**3 - 18*h**2 - 2*h - 34. Let o be n(-18). Solve -2*c + 12 = o for c. 5 Let q = 3 + 2. Suppose -3*b - 1 = -5*g - 0, q*b - g = 13. Solve 2*z + 1 = -b for z. -2 Let f(l) = -2*l - 5. Let j be f(-10). Suppose -3*x + q = -j, -4*x + 2*q + 20 = -0*q. Solve x*c = -13 - 12 for c. -5 Suppose 3*g = -5*i - 19, g - 3*i + 6 - 23 = 0. Solve -g*l = -l + 5 for l. -5 Suppose 2*o = 7*o + 60. Let g be ((-4)/o)/(2/12). Solve 0 = g*u - 0 - 4 for u. 2 Suppose -2*s = 5*s. Solve s*w + 10 = -5*w for w. -2 Let t be 22/6 + 4/(-6). Let u = t + 4. Let w(y) = y**2 - 6*y - 3. Let n be w(u). Solve 0 = -n*v + v for v. 0 Let a = 1 - -1. Suppose -2*c - 1 = -11. Suppose -a*f + 2*i + 18 = -0*i, 2*i = c*f - 33. Solve -3*t + f*t = -2 for t. -1 Let c be -8 + 12 + -1 + 0. Solve 4*n - c = n for n. 1 Suppose 0 = -n + 1. Solve c + n + 0 = 0 for c. -1 Suppose 5*b - b = 16. Solve b*f + 0*f + 16 = 0 for f. -4 Suppose 5*h - 2*h = 18. Let d = h + -4. Suppose r = 2*r. Solve -d*g - 3*g = r for g. 0 Let w = -18 + 22. Solve -w*f - 6 = -2*f for f. -3 Let v(m) = 2*m**3 - 3*m**2 + 4*m - 4. Let c be v(2). Suppose -3*q + 15 = o, 3 = -2*q + 4*o - 1. Let g = c - q. Solve 0*s + g*s = -8 for s. -2 Suppose 4*j = 2*j + 4. Suppose -j*t - t = 0. Let x be -6 + 3 + 7/1. Solve -x = 2*a - t*a for a. -2 Let v be ((-2)/(-2))/(7/14). Suppose y + 4*z - 16 = 0, y + 11 = 3*y + z. Solve -y*p = v - 6 for p. 1 Let x = 11 + -27. Let s be -5 + 4 - x - 1. Solve -5*t = s + 6 for t. -4 Let h = -3 - -3. Suppose h = -m - 5, 0 = -d - 4*m + 6 - 26. Solve 0 = -j - d*j - 2 for j. -2 Let z(h) = h**2 + 4*h. Let d be z(-4). Suppose 2*x - 5*x + 6 = 0, -g + x = -8. Let i be 2 - -1 - (g + -8). Solve d = 3*a + 5 + i for a. -2 Let p(s) = 2*s + s**3 - 19*s - 1 - 16 - 17*s**2. Let z be p(18). Solve -z = -n - 4 for n. -3 Let h(d) = d**2 + 8*d + 12. Let n be h(-6). Suppose -7 + 27 = 5*v. Suppose -v*s = s - 20. Solve 2*o + s = -n*o for o. -2 Let x = -17 + 38. Suppose 5*m - x + 1 = 0. Let t be 6/8 + (-5)/(-4). Solve -t*z = -m*z for z. 0 Let p(n) = 2*n - 3. Suppose -h + 0*h + 3 = 0. Let t be p(h). Solve 0 = x + t - 7 for x. 4 Let y(r) = r + 8. Suppose 0*d - 12 = 2*d. Let c be y(d). Suppose -c*q = -0*q - 16. Solve 2*n - 6*n - q = 0 for n. -2 Suppose -5*k = -3*g + 31, g = 3*k + 5 + 12. Let v = k - -8. Let w(l) = -l. Let d be w(-1). Solve b + v = d for b. -2 Let o = -3 - -4. Suppose -o + 11 = 5*t. Let p be (-12)/(-2)*t/4. Solve -p*r + 0*r + 12 = 0 for r. 4 Suppose -o = -2*o + 12. Let x be 54/o*4/6. Solve -4*q + x = -1 for q. 1 Let v = -15 - -15. Solve -2 = -v*l - l for l. 2 Let d = 1 - 1. Suppose -24 + d = -4*v. Suppose -2*i + v + 0 = 0. Solve -i = s - 4*s for s. 1 Let h = 8 - 0. Solve 3*a + h = -a for a. -2 Suppose 4*k + 5*u - 1 - 2 = 0, 5*k - 3*u - 13 = 0. Solve -2 = k*s + 6 for s. -4 Let n = -112 + 118. Solve -n - 2 = 4*c for c. -2 Suppose -3*f - f - 104 = 0. Let c = f - -16. Let y = -7 - c. Solve 2 = -y*g - 7 for g. -3 Let w = 0 + 3. Suppose w = 5*d - 12. Solve d*q = 8*q - 10 for q. 2 Let a(t) = -t**3 - 17*t**2 + t + 15. Let w be a(-17). Let n = w - -5. Solve -1 = -4*f + n for f. 1 Let a be (-2)/(-7) - 40*(-3)/21. Solve -3*q + a*q + 15 = 0 for q. -5 Let g(w) = w**3 - 8*w**2 + 4*w + 1. Let q be g(7). Let v be 8/q*(-2 - 3). Solve -j + v = -0 for j. 2 Let m(q) = -2*q + 1. Let v be m(2). Let z be (-1)/v + 35/21. Suppose z*p = p. Solve s + 0 + 5 = p for s. -5 Suppose 0 = -5*u - t - 13, -5*u + 2*t + 3*t + 5 = 0. Let w be 4/((-1)/u*2). Solve w - 10 = -3*h for h. 2 Let h(r) = -2*r - 26. Let q be h(-13). Solve 0 = -2*s - q + 2 for s. 1 Let v = -2 - -4. Suppose -g - 3*g + j = 4, -2*g = v*j - 8. Solve 3*a + g*a - 3 = 0 for a. 1 Suppose 4*n + 0*i - 8 = 2*i, -3*n = -5*i - 20. Suppose 42 - 12 = 3*k. Solve 2*j + k = -n*j for j. -5 Let b be (-14)/((3 - 0)/3). Let n = b + 7. Let s = 11 + n. Solve v = -0*v + s for v. 4 Suppose -2*q - 16 = -4*c, -3*q + 0*q - 4*c = -16. Suppose q = -4*x + x. Solve x = 3*i - 4*i + 3 for i. 3 Let m(s) = -s. Let t be m(-9). Let k = t - 4. Solve 4 = -k*a + 4*a for a. -4 Suppose 3*k + 4*u - 18 = -0*u, 5*k - 1 = 3*u. Let o = 5 - k. Let c = o - 0. Solve 0*x + c*x + 3 = 0 for x. -1 Suppose -4*t = -5*y - 11, 3*y + 4 + 9 = -4*t. Let b be (-30)/(-8)*(-8)/y. Let m be 2/(-4)*-2*3. Solve -m*j - b = -1 for j. -3 Suppose 4*g - s = s - 2, 4*s + 32 = -4*g. Let h = g - -10. Solve 3*w + 16 = h*w for w. 4 Suppose -l = 4*r + 2*l + 15, -4*l - 20 = 0. Solve r = 5*f - 0 + 5 for f. -1 Let l be (2 - 0)*12/8. Solve 0 = 4*p + l - 23 for p. 5 Let k(b) = -b**3 + 3*b**2 + 3*b - 2. Let c be k(2). Solve -3*f + c*f - 20 = 0 for f. 4 Suppose 4*k - 8 = 0, f + 17 = 2*f + 3*k. Let v = 14 - f. Solve v*o + 2*o = 25 for o. 5 Let v be 60/(-48)*4*(1 + -2). Solve v - 3 = h for h. 2 Suppose 4*k - 2*x = 2 + 12, 0 = 5*k - 5*x - 20. Solve c - 1 = -k for c. -2 Suppose 2*x = x. Let r(a) = a**3 - a. Suppose 0*o + o = 1. Let n be r(o). Solve n = z - 3 - x for z. 3 Suppose y - 3 = 4*p - 17, 5*y + 16 = 2*p. Solve p*i + 2 = -1 for i. -1 Suppose -2*u - 3*u = -15. Solve u = r - 0*r for r. 3 Let a = -1 - 1. Let k be 4/2*a/4. Let f = k - -7. Solve -18 = 4*w - f for w. -3 Let p(r) = 3*r + 30. Let f be p(-10). Solve -3*o + 4 - 1 = f for o. 1 Suppose 0 = 7*f - 14. Solve 5*m = f*m - 12 for m. -4 Suppose -2*b = 4*x - 14, -6*b + b = 3*x - 28. Suppose -2*a - 4*f - 4 = 0, -3*a + 4*f + 4 + 40 = 0. Solve a + x = -3*v for v. -3 Let p be -1*(-2 + 3)*-1. Let v be (2 + -5)/(p*-1). Solve 2*l = v + 1 for l. 2 Suppose g - 3*q = 2*q - 1, 5*q - 49 = -g. Suppose -l + g = 3*l. Suppose -f = -2*f + l. Solve f*m - 5*m + 4 = 0 for m. -4 Let m = 5 - 3. Suppose d - 2*t = 11, m = -3*t - 13. Solve d + 1 = c for c. 2 Let l = 7 - 2. Let t = 6 - 14. Let k be t/(-3)*(-12)/(-8). Solve l + k = 3*a for a. 3 Suppose x + 2 = -5*q, -2*q = -4*x - x - 10. Suppose -3*w - 3*c + 24 = q, 0*w - 5*c + 32 = 3*w. Let p be 124/6 + 4/(-6). Solve n + w*n + p = 0 for n. -4 Let x(b) = -4*b + 5*b - b**2 + 3 + 7*b. Let t be x(8). Solve t*q - 1 = 8 for q. 3 Suppose -p + 0*p - 4 = 0. Let n be 3/12 + (-3)/p. Suppose 0 = 2*u - 4*q - 18, 3*u - 3*q = 22 - 1. Solve -n = u*j - 26 for j. 5 Suppose -4*j - 2*g - 20 = 0, 4*g + 14 = -5*j - 8. Let i be (-47)/(-6) - 1/j. Solve -3*t - t - i = 0 for t. -2 Suppose 4*r = -2*h - 0*r - 4, r = 2*h - 6. Solve 1 + 1 = -h*o for o. -1 Let o(v) = -3*v**2 - 21*v + 4. Let y be o(-7). Solve y*b - 4 = -0*b for b. 1 Suppose 0 = 2*l - 0*l - 66. Suppose 5*j - 45 = -5*r, 4*j - l = -2*r - r. Solve -4*b - j + 2 = 0 for b. -1 Suppose 0 = -0*q + q. Solve 3*o = -q*o + 15 for o. 5 Let m(l) = l + 1. Let t be m(-2). Let p(h) = 4*h + 0*h - 2 + 3 - 2*h**3 + 2*h**2 - 2*h. Let d be p(t). Solve d*j + j = -4 for j. -1 Let b(q) = -q**3 - q**2 - q - 1. Let d be b(-2). Suppose 10 + d = l. Let v be -1*(-2 - -2)/(-1). Solve k - 4*k + l = v for k. 5 Let p be (5/(-2))/((-3)/(-12)). Let i = p + 14. Solve i*c = 2*c - 10 for c. -5 Suppose -12*y + 11*y = -3. Solve 0 = -0*t + t - y for t. 3 Suppose 0*p + 140 = 10*p. Solve t = p - 9 for t. 5 Let w(m) = -m**2 - 5*m + 2. Let b be w(-5). Suppose -2*g
{ "pile_set_name": "DM Mathematics" }
18*j = 17*j + 142. What is the tens digit of j? 4 Suppose 97 - 7 = -6*l. What is the tens digit of (-2)/(-10) - 222/l? 1 Let w be ((-4 - -5) + 0)*17. Suppose f = 3, 2*f - 151 = -3*b + w. What is the tens digit of b? 5 Let f(m) be the first derivative of 33*m**4/4 + m**3/3 - m**2/2 + 5. What is the tens digit of f(1)? 3 Let z(n) = n**3 + 4*n**2 + 3*n + 2. Let y be z(-2). Suppose -w = a - 3*w + y, 4*a + 52 = -w. What is the units digit of 66/10 + a/(-30)? 7 Let v(d) = -d**2 + 6*d - 7. Let t be v(7). Let b(w) = w + 18. What is the units digit of b(t)? 4 Suppose 4*m - 3*m - 5*i = 11, 11 = 5*m - 3*i. Let v(t) = -5*t**3 - 2*t**2 + 1. Let b be v(m). Let s = b + 14. What is the units digit of s? 8 What is the units digit of -700*((-24)/10 + (4 - 2))? 0 Let d = -22 - -39. What is the units digit of d? 7 Let u = -7 - -3. Let g(k) = -k**3 - 4*k**2 + 2. Let l be g(u). What is the units digit of (3 + -1)/(l/4)? 4 Let p = 24 - 4. Suppose 3*b - p - 10 = 0. What is the tens digit of b? 1 Suppose 105 - 337 = -4*m. What is the units digit of m? 8 Let p be (2 + -1 + -17)/(-2). Suppose -g + p = 1. What is the units digit of g? 7 Let a(t) = t**3 - 4*t + 6*t**2 + 4 - 4 + 3*t. What is the units digit of a(-6)? 6 Suppose 3*w - 201 = -3*g, -g + 3 = -1. What is the tens digit of w? 6 Let w(c) = 18*c**2 + 1. What is the tens digit of w(-1)? 1 Let i = -3 + 15. Suppose 11*p - 7*p = i. What is the units digit of p? 3 Let r be 2/9 - (-168)/(-27). What is the units digit of 14/6 - r/(-18)? 2 Let b = 20 + -7. Let l = 39 - b. What is the tens digit of l? 2 What is the units digit of (-10)/15 + 28/6? 4 Let w(t) = 2*t + 0*t - 9*t**2 - 2 + 3 + t**2. Let r be w(-1). Let z = r - -19. What is the units digit of z? 0 Let u(o) = -o**2 + o - 1. Let x be u(1). What is the units digit of (-9)/3 - 23/x? 0 Suppose 0 = 2*c, -c - 4*c - 206 = -2*j. What is the tens digit of j? 0 What is the units digit of (0 - -1) + 0/7? 1 Let r(u) = -u**3 + 3*u**2 + 12*u - 15. What is the units digit of r(-6)? 7 Suppose 3*u + 35 + 1 = 0. Let q = -20 - u. Let f(y) = -y + 9. What is the tens digit of f(q)? 1 Let p(s) = 2*s**3 + 1. Let t be p(1). Suppose -t*y = -8*y - 90. Let g = -12 - y. What is the units digit of g? 6 What is the tens digit of 9/(27/(-2))*-33? 2 Let q be 5*-1 - 3/3. What is the units digit of 60/9 + 4/q? 6 Suppose -4*s = -a + 28, 3*a - 2*s = -2*a + 158. What is the units digit of a? 2 Let t(k) = 4*k**2 - 4 + k + 0*k - 2*k**2. Let s be t(-3). Suppose 7 = 3*q - s. What is the units digit of q? 6 What is the units digit of (6/2)/((-21)/(-371))? 3 Suppose -2*r = -4*m + 6, -5 = -3*r - 2. What is the units digit of m? 2 Let q(o) = o**3 + 5*o**2 - o - 4. Let a(c) = c**2 - 5*c. Let n be a(6). Suppose 10 + n = -4*l. What is the tens digit of q(l)? 1 Suppose -89 = -3*n + 5*d, n + n - d - 50 = 0. What is the tens digit of n? 2 Let l(y) = y + 11. Let g be -2 + -3 - (-2 + 4). What is the units digit of l(g)? 4 Suppose z = -2*z. Let j = z - -3. What is the units digit of j? 3 Let d = 24 + -1. What is the tens digit of d? 2 Let z = 6 + 71. What is the units digit of z? 7 Let u(x) = x + 7. Let t be (1/(-2))/(1/(-8)). Let m be 2/8 - 17/t. What is the units digit of u(m)? 3 Let z = 18 - 8. What is the units digit of z - (4/1 + -3)? 9 Let w be (-2)/(3 - 105/33). Suppose -29 = -2*z - z - 5*n, 5*z - n = w. What is the units digit of z? 3 Suppose -2*b + 5*s = -22, b + 2*b + 2*s - 71 = 0. What is the tens digit of b? 2 Let m be -2*(-2)/8*10. Suppose 4*r + 42 = m*a, 3 = -a - 0*r - 3*r. What is the units digit of a? 6 Let y(c) = 2*c**2 + 3*c**2 + c**3 - 5 + 0*c**2 - 5*c. Let j be y(-6). What is the units digit of (j/(-4) + -1)*4? 7 Suppose s - 2 = 4. What is the units digit of 10/((-3)/s*-2)? 0 Let w be 82/3 + (-4)/(-6). Suppose -w - 13 = -m. Suppose -11 = 5*d - m. What is the units digit of d? 6 Suppose -33 = -3*c + 27. Suppose -4*i = -c - 0. What is the units digit of (i/(-2))/(1/(-2))? 5 Let r = -1 - -7. Let x = -5 + r. What is the units digit of x? 1 What is the tens digit of (-36)/(-2) - (-8 + 8)? 1 Let n(j) be the second derivative of 47*j**4/12 + j**3/2 + j**2 - j. What is the units digit of n(-1)? 6 Let m = -75 + 106. What is the tens digit of m? 3 Suppose -3*k + k + 4 = 0. Suppose k*w - b = -2*w + 24, 3*b - 40 = -4*w. What is the units digit of w? 7 Let q be 1273/15 + (-4)/(-30). Let w = q - 39. What is the units digit of w? 6 Suppose 4*p - 11 = 5. Let o = p + 1. Let g = 9 - o. What is the units digit of g? 4 Let s = 8 - -2. Let b(v) be the third derivative of v**4/12 - 7*v**3/3 + v**2. What is the units digit of b(s)? 6 Let i be 0 + -1 + 3/1. Suppose n = i + 2. Suppose -g - 39 = -n*g. What is the units digit of g? 3 Let n = 25 - 39. Let j = n + 10. What is the tens digit of 66/9*(-6)/j? 1 Suppose 5*x + 6*x - 341 = 0. What is the units digit of x? 1 Let x(i) = i**2 - 2*i - 2. Let m be (2 - 9/6)*6. What is the units digit of x(m)? 1 Let r(f) be the second derivative of f**4/12 + 5*f**3/6 + f**2 - f. Let v be r(-5). What is the tens digit of ((-34)/3)/(v/(-3))? 1 Let i = -43 + 64. Suppose 3*r - i = 2*r. What is the units digit of r? 1 Let l(p) be the third derivative of p**4/8 + p**3/2 + p**2. Let j(i) = 16*i + 14. Let u(n) = -2*j(n) + 11*l(n). What is the units digit of u(5)? 0 Suppose 5*c + 0*c = 20. Suppose 5*g - 3*i = 90, 0*g + c*g + 3*i - 72 = 0. What is the units digit of g? 8 Suppose 6*q = 5*q + 18. What is the tens digit of q? 1 Let j = -1 - -52. What is the units digit of j? 1 Let x(u) = u**2 - 4*u + 1. Suppose -m - 15 = -6*m. Let p be x(m). What is the units digit of (-2)/(-3)*(-21)/p? 7 Let u(r) = -r. Let m be u(2). What is the tens digit of (12/5)/(m/(-15))? 1 Suppose -w - 8 - 10 = 0. Let b = w + 35. What is the units digit of b? 7 Let b(j) = j**3 - 12*j**2 + 12*j - 9. Let r be b(11). Let t(i) = i**2 - 3*i + 3*i**2 - i**r - 3. What is the units digit of t(-2)? 5 Suppose 0 = -0*t - 2*t. Suppose 3*p - p = 4. Suppose p = -t*f + f. What is the units digit of f? 2 Suppose -7*q - 1170 = -12*q. What is the hundreds digit of q? 2 Let g = -2 - -54. What is the units digit of g? 2 Let y(l) = l**2 + 8*l - 10. Let n be (-1)/(12/33)*4. Let v be y(n). Suppose -3*a + 2*i = -2, i + 2*i - v = -2*a. What is the units digit of a? 4 Let d(g) = -g - 4. Let h be d(-5). Let i = h + 5. Suppose 0 - i = -m. What is the units digit of m? 6 Let p = -23 + 121. What is the units digit of p? 8 What is the tens digit of (-2 + 4 + 0 + 8)*2? 2 Suppose -s = 3*p + 1, 2*p + 24 = s + 3*s. Suppose -5*n - u = -75, 5*u + 87 = s*n - 18. Suppose 0 = 4*x - n, 3*l + 15 = -2*x + 38. What is the units digit of l? 5 Let t = -71 + 101. What is the tens digit of t? 3 Let v be (-18)/(-8) - 5/20. Suppose -v*n = n. Suppose 2*w + 0*w - 8 = n. What is the units digit of w? 4 Let s(n) = n - 8. Let g be s(7). Let y be (1 + 1)*g - -20. Suppose -2*d + 4*m + 10 = -y, -4*d + 6 = 2*m. What is the units digit of d? 4 Suppose 3*u + 9 = -0*u, -u = z - 116. What is the hundreds digit of z? 1 Let k(n) = -3*n**3 + 5*n + 9. What is the units digit of k(-4)? 1 Suppose 2*x = 10 - 46. Suppose 58 = -6*r - 92. Let s = x - r. What is the units digit of s? 7 Let j(o) = -6*o - 3*o**3 + 5*o + 0*o**2 - 2 + 0*o**3 - o**2. What is the units digit of j(-2)? 0 Let w = -142 + 317. What is the hundreds digit of w? 1 Let j(c) = 2*c - 5 + 4*c - 5*c + 0*c. Let p be j(11). Suppose -4*k - 4*h = -8*h - 24, -5*h = k - p. What is the units digit of k? 6 Let k = 6 - -10. Suppose 4*m - 4 = -a, 5*m = -4*a + 22 + k. What is the units digit of a? 2 Suppose 4*y - 4 = -4*w, -4*y - w + 13 = -0*w. Suppose 3*c = 5*c + y*f + 192, -5*f - 81 = c. What is the tens digit of (-14)/(-35) + c/(-10)? 1 Let m = -2 - -2. Suppose 4*l - 15 + 3 = m. What is the units digit of l? 3 What is the hundreds digit of 5/25*2 + 1746/10? 1 What is the units digit of (57/(-4))/((-21)/56)? 8 Let y = -6 + 6. Suppose 5*f = -3*t + 2, y*f = 5*t + 3*f - 30. What is the units digit of t? 9 Let t(i) = 2*i**2 - 6*i + 4. What is the hundreds digit of t(12)? 2 Let g(r) = -r**3 + 8*r**2 - 6*r - 5. Let z be g(6). Suppose -f + 5*n + z = 2*f, 0 = -n + 4. What is the units digit of (f/(-2))/((-1)/2)? 7 Let x(f) be the third derivative of -f**5/60 - 7*f**4/12 - 3*f**3/2 + 7*f**2. What is the units digit of x(-13)? 4 Let i(z) = -2 + 4 +
{ "pile_set_name": "DM Mathematics" }
4 - -6 - (-3 + 3)) + -8)? -27 What is the value of 0 + 17 + 4 + (4 - 5 - 2)? 18 -5 - (-4 + -1 + 8 + -4) -4 What is (-15 + 18 - 18) + 28? 13 Evaluate -471 + 456 + (2 - -1). -12 Evaluate (-20 - -6 - -11) + (0 - 0 - -4). 1 Calculate -14 - (23 + -68 + 16). 15 What is 6 + -13 - (16 - (3 - -5))? -15 What is the value of -97 + 82 - (-11 - -1) - -32? 27 What is (2 - -14) + (-1 - (-2 + 7))? 10 What is the value of 3 + (1 - 2) + -7 - (-2 - 3)? 0 What is the value of 19 - (2 + -2 - 3 - (-126 + 130))? 26 What is 20 + -39 + 22 + -23? -20 Evaluate (-2 - -26) + (-9 - -13 - 1) - 8. 19 Evaluate -1 + -10 + 22 + -5. 6 -35 + 13 - (-6 + -6 + -2) -8 16 - (-3 + (-5 - 2) - -6 - -8) 12 Evaluate -13 - (3 + -9 + -9 + 11). -9 Calculate -1 - (-13 - -10) - (9 + -10). 3 What is 9 - ((-4 - (10 - 13)) + -9 - -8)? 11 Evaluate -14 - (6 - (36 - 12)). 4 Calculate 7 + (5 + -8 + 3 - 10) + 4. 1 What is (-10 - (3 + 0)) + 89 + -91? -15 What is (9 - (11 - 3)) + 0 - (24 + -12)? -11 What is the value of (-89 - -88 - (-1 + -8)) + -2? 6 What is -199 + 185 - (-1 + -6 + 0)? -7 What is 18 + -9 + (6 - 5) - 9? 1 Evaluate 6 + -10 + (14 - (-14 + 10)). 14 What is (3 - (8 + -3)) + -13 - -14? -1 What is the value of (-1 - (36 + -1)) + (-120 - (-152 - -29))? -33 What is (-37 + 12 - (-2 - 12)) + 18? 7 What is -15 + -16 + 14 - -31? 14 What is the value of (22 + -30 - -11) + 21? 24 Evaluate 5 + (-106 - -125 - (6 - 0)). 18 What is the value of -1 - (5 + 0) - (241 + -250)? 3 Calculate -40 + 6 + (-4 - -26). -12 Calculate -2 + (-8 - -3) + 3 + 3 + 7. 6 Evaluate -41 + 26 + 6 - (1 + -2). -8 11 + (11 + 8 + -14 - 14) 2 Calculate (-3 + 20 - 7) + 0. 10 (1 - ((-9 - -11) + 1)) + (1 - -14) 13 (5 - -15) + -17 - 24 - -11 -10 What is -14 - (3 - 17 - 6)? 6 (41 - (9 - (-10 - -12))) + 2 36 Evaluate 2 + -13 + 11 + (0 - -10). 10 Calculate -31 + (-7 + -4 + -6 - -6) + 14. -28 What is -76 + 35 - -10 - -19? -12 What is 18 + -9 + -16 - 8? -15 Calculate 5 + (-1 + 6 - (85 + -83)) - 9. -1 Evaluate 15 + -2 - 8 - -8. 13 What is 8 - 4 - 13 - (30 + -40 - -18)? -17 Evaluate (2 - -2 - (6 - -1) - -3) + -3. -3 What is -22 - (-6 - (2 - (12 - 12)))? -14 14 + 71 + -72 + -1 + -45 -33 Evaluate 5 - (2 + -5 + -3) - (11 - 15). 15 11 + -19 - ((-3 - -2) + 4 + -2) -9 What is (-6 - -1) + -3 + (4 - 3)? -7 What is 11 + -8 + (5 + (-4 - -1) - 4)? 1 What is -64 + 23 + -43 + 44? -40 19 - -5 - 31 - (-5 + 1 + -1) -2 Evaluate (1 + -3 - (-12 + 3 - -4)) + 10. 13 -5 + -2 + (-12 - -22) + -1 2 Calculate 5 + -15 + 18 + 1 - 9. 0 (-2 - 21) + (7 + (-1 - -4) - 13) -26 What is the value of 13 - (18 + -7 + 9)? -7 What is 2 + -20 + 257 + -222? 17 Evaluate ((-1 - (1 - -4)) + 15 - 26) + -4. -21 Calculate -9 + -1 - (-25 - (7 + -32) - -24). -34 Evaluate (-30 - -1) + -1 + (82 - -3) + -78. -23 Evaluate (-2 - 14) + 23 + -12 + 7. 2 -2 - -6 - (-24 - (20 - 37)) 11 Evaluate (176 - 189) + 35 + -3 + -1. 18 What is the value of (0 - 18 - (-17 + 16)) + -30 + 33? -14 What is 4 - (0 + (0 - 7) - 1)? 12 -7 - (0 + -4 + -6 + -7) 10 What is (-7 - -17) + 13 + -7 + -1 + -2? 13 -13 + 7 - (1 + (0 - -3)) -10 Calculate 44 + -30 + 27 + -23. 18 Calculate (22 - 15) + -10 + -3 + -2. -8 What is -18 + (16 + -7 + 7 + -8 - 0)? -10 (54 - 51) + (-6 - -5 - 2) + -36 -36 Calculate -12 + 9 + (-5 - 2 - 3). -13 Evaluate 38 + -46 - (1 - 11) - -10. 12 Calculate 14 + (-2 - (0 - -3)) + -30. -21 Calculate (31 - 35) + (5 - -1). 2 What is -350 + 345 + (1 - 3) + -8? -15 -26 + 5 + (-15 - -20) -16 What is the value of -2 + (6 - 2 - (60 + -62))? 4 Evaluate -3 + -1 + 1 + -7 + 7 + -6. -9 3 - (-1 + 6 - -1 - 5 - -2) 0 What is -1 + -17 - (-13 + 27 - (-6 - -22))? -16 What is the value of 5 + -10 - 8 - (9 + (6 - 9))? -19 Evaluate -6 + (6 - -1) + (-7 - 0) + -6. -12 What is the value of 303 - 278 - (49 - 3)? -21 What is the value of (-57 - -18 - -11) + 49? 21 What is 28 - (10 + (62 - 39))? -5 What is 3 - 0 - (9 + -26 + 13)? 7 What is (-2 - 12) + -1 - (-2073 - -2072)? -14 Calculate -19 + 6 + (12 - 6) + (-14 - -9). -12 -80 - (-14 - 14) - -23 -29 Evaluate 8 - (50 + -45 + (-5 - -2) + -1). 7 Calculate 14 + -4 + (-1 - 4 - 3). 2 -20 + -2 + 32 + 1 11 (3 - (-13 - (1 - (1 + 3)))) + -4 9 What is 47 - 58 - (10 - 3 - 9)? -9 Calculate -12 + (1 - -17) + (-27 - -23). 2 12 - (-11 + 20) - -5 8 40 + (-13 - 36) + 0 + 0 -9 Calculate 2 + -5 - (-13 + 5 + 16 + -5). -6 (23 - 15) + 5 + 7 + -13 + -21 -14 Calculate 15 + -1 + -4 + (35 - 40). 5 Calculate (-44 - -7) + (-35 - -52). -20 Calculate -2 + -7 + 30 + (-9 - (-2 + -1)). 15 What is (-9 + 5 - -5) + (-5 + 8 - 4)? 0 What is -11 + (15 - 5 - 6)? -7 What is the value of (-81 - -11) + 98 + 0 + -19? 9 Evaluate 11 - ((-7 - -18 - 13) + (5 - 2)). 10 Evaluate -9 - (-10 + 23 - (6 - -3)). -13 What is the value of 21 - (0 - (-9 + -2))? 10 Calculate (-12 - 2) + (5 - -6) + (15 - 23). -11 Evaluate -9 + 41 + -34 + -7 + -1. -10 Calculate 0 - (-13 - -27) - -29. 15 -14 - (-46 - 4 - (-14 + 1)) 23 What is the value of (-76 - -22) + 21 + 35? 2 Evaluate -12 + -3 + (-14 - (-4 + -3)). -22 Evaluate (8 - (13 - 5) - 6) + 3. -3 What is -3 - (-9 + -2) - 2 - (32 - 36)? 10 What is the value of 20 - 12 - (21 - 3)? -10 Evaluate (-25 + 10 - -7) + -4 + (4 - -6). -2 What is the value of (14 - (3 - (13 - 25))) + 26? 25 -7 - ((-16 - -8) + 13) -12 What is the value of -19 + -15 + -6 + 33? -7 What is the value of 2 - (-3 + (-10 - -33))? -18 Evaluate (-10 + 20 - (15 + 3)) + 12. 4 What is 11 + (-3 + 1 + -3 - (-16 - -5))? 17 Calculate 153 - 182 - (-34 + 3). 2 -4 - (26 - (9 + 11 + -9)) -19 -3 + (1 - (7 + (2 - (0 - -11)))) 0 What is the value of 8 + (18 - (13 - 0) - (-1 + 13))? 1 0 + (-12 + 30 - 5) + (-3 - -3) 13 What is the value of (-1 - -2) + -6 + (31 - 4)? 22 What is (4 - -8) + (5 - 21)? -4 Calculate (-8 + 15 - -10) + 12 - 5. 24 7 - (26 + 1 + (5 - 18)) -7 Evaluate 36 + -1 - (858 - 821). -2 (-11 - (2 - 6)) + (11 - (-18 + 5)) 17 Evaluate (7 - 14) + 22 - 0. 15 -4 - (0 + 4 + (-35 - -27) + 7) -7 Calculate -14 + -11 + -6 + 14. -17 1 - 5 - 2 - -1 - (103 - 106) -2 -23 - -3 - -15 - -11 6 -10 + (8 - 6 - (1 - 17)) + 8 16 Calculate -14 - (-41 - (29 - 51)). 5 -7 - (3 + 1 + -3) - (70 - 99) 21 Evaluate 7 - (-10 - (-18 + 0)). -1 What is the value of -22 + (60 - 8) - 50? -20 What is 9 + (28 - 30) - 3? 4 Evaluate -5 - -3 - (-74 + 59). 13 Evaluate -2 + (-1 - -9) + (2 - 4) + -2. 2 14 + -7 - (-2 + -1) 10 What is the value of -1 + -6 + (-690 - -710)? 13 Calculate -11 + (23 - 8) + 7 + (-1 - -2). 12 Calculate 7 + -13 + -5 + 19. 8 Evaluate (1 - 2) + 9 + (-2 - 3) + 4. 7 Evaluate -46 - -41 - (-6 - 0). 1 Calculate (-9 - -4) + 5 - (-3 + -6) - -14. 23 Calculate 12 + -20 + 3 + (20 - (-1 + -1)). 17 1 - 1 - (-23 + 27 - 0) -4 -9 + 18 - (-7 - -12 - (3 + -4)) 3 Evaluate 124 + -120 + (2 + -19 - -2). -11 Calculate -1 + (4 + 0 - 2). 1 What is the value of -7 + -13 - (-11 + -9 + 15)? -15 What is (-16 - -24) + 4 + -7? 5 Calculate (4 - 6) + 8 + 12 + -7. 11 (3 - -9) + -30 - (0 + 2 + 0) -20 What is 5 + -4 + (-46 - -30)? -15 Calculate (-12 - -11) + 22 + (12 - 10). 23 Calculate 20 + (-52 - -12) + 2. -18 What is -3 + 13 + 2 + (-63 - -56) - -1? 6 Calculate -2 - 8 - 25 - -16. -19 Calculate -5 - 11 - (1 + (2 - 13) + 8). -14 Calculate 4 + -3 - (-69 - -80) - 15. -25 What is 29 + -13 + (-1 - -3)? 18 What is -3 + (4 - (8 + -6)) + 7? 6 What is the value of -45 + 85 + (-15 - (-5 - -5))? 25 What is the value of 6 - -1 - (-3 - -9) - (0 + 13)? -12 Calculate -2 - 1 - ((64 - 23) + -30). -14 -4 + (-17 - -19) - -17 15 Calculate -15 - (-15 + 16 - 12). -4 -18 - (-22 - -35) - -4 -27 Calculate (3 - (31 - 4)) + (-14 - -22). -16 What is the value of -12 - ((10 - -4) + -24)? -2 What is -3 + 3 + 9 + 10 + -30? -11 -16 + 15 - (-2 - (3 + 1)) 5 Calculate 508 - 503 - (-3 + -3 + 5 + -1). 7 Evaluate (1 - -5) + -69 + 75 + 3. 15 What is the value of (-5 - 0) + -1 + -1 + (87 - 77)? 3 -3 + 4 + (-2 + 7 + -2 - 8) -4 Evaluate -10 + -27 + 35 + (0 - 1). -3 What is the value of -3 + 4 + -9 + 1 + 2 - -1? -4 Calculate 30 + -19 + -23 - (1 - -8). -21 What is (5 - (-1 + 3 + (-7 - 0))) + -2? 8 Calculate 32 + -35 + 16 + 16. 29 Evaluate (-4 + (19 - 9) - 1) + 5. 10 Evaluate -28 + (5 - -9) + 2. -12 Evaluate (6 - 2) + -1 + 18 - (78 - 70). 13 What is 23 + 4 - (-18 - -14)? 31 Evaluate 20 - (-20 - (-6 + -25)). 9 What is the value of -98 - -108 - (-31 - -2) - (1 + 8)? 30 What is the value of 1 + (1 - -28) + -15 - (-1 + -4)? 20 What is (2 - (-14 + 17))
{ "pile_set_name": "DM Mathematics" }
d -0.5? 261881058384.5 Calculate 3076 - 679681641. -679678565 -401 + -52.5996765899 -453.5996765899 Work out -1811 + -753947.5934. -755758.5934 Calculate -72766 - 13377113. -13449879 What is 113441692 + -20.064? 113441671.936 Put together 5 and -49071394172. -49071394167 What is 202.252241 less than 594766? 594563.747759 Work out 2.8 - -7997535.7342. 7997538.5342 Calculate -1281492.5041 + -4813. -1286305.5041 Put together -262967.4 and -122.2335. -263089.6335 Add -1788975 and -16602. -1805577 Sum 235170 and -3.392307. 235166.607693 What is -1686773648 less than -1593? 1686772055 What is 1696 less than -3343443111? -3343444807 What is 2174375226613 minus -1? 2174375226614 What is 3609266 - -15886? 3625152 Calculate -563 - 515408218375. -515408218938 What is 6.9112692 take away 375189? -375182.0887308 What is 187.163 minus 4156619? -4156431.837 What is -22 plus -4688571524183? -4688571524205 Work out -0.335491 - 2853822. -2853822.335491 Add together -57310.883 and 5122. -52188.883 What is the difference between -270.5221319 and 0.7559? 271.2780319 Put together -3.9 and 1998797.5437. 1998793.6437 -3.06734973945218 - 0.1 -3.16734973945218 What is -5323348.687 less than -2? 5323346.687 Calculate 11 + 1663781711. 1663781722 Work out -2.228883 + 28969. 28966.771117 What is 96903192 - -19.51? 96903211.51 Work out 51856142627583 + 0.2. 51856142627583.2 Put together -290834238850 and 0. -290834238850 Sum 94220280210 and -3211. 94220276999 What is -854.52 - -128.4317? -726.0883 Calculate -247609599 - -49. -247609550 Sum 0.0299 and 14489154403. 14489154403.0299 What is 0.96162559 less than 4026? 4025.03837441 Work out 80782 + 3.2281009. 80785.2281009 What is -1246557 minus -3246973? 2000416 Put together 1 and 21829.5753707. 21830.5753707 Calculate 54 + 2466.318321551. 2520.318321551 Work out 9 + -271644618285. -271644618276 What is -6.691 plus 63132521? 63132514.309 Subtract -14 from -1.619201121452. 12.380798878548 Total of 15.69 and -1235894032. -1235894016.31 What is -191319228 take away 0.435723? -191319228.435723 Calculate -95 - 2.233128059. -97.233128059 -1441580515 + 3.7 -1441580511.3 What is 0.098 - 122679606? -122679605.902 Add together -0.3737912687 and -0.3782. -0.7519912687 Add together 0.3923552 and -0.11105093. 0.28130427 What is 0.00445409199371 + -8? -7.99554590800629 Put together -522948783772728 and -1. -522948783772729 What is -0.09 plus 4706297540364? 4706297540363.91 Add together 2 and -276677686643. -276677686641 What is 2 - 53804251355678? -53804251355676 Total of -13 and 3331012271780. 3331012271767 What is 13.3 - 3594711872? -3594711858.7 What is 375.38031511 less than -0.2? -375.58031511 Calculate 57230 - 1906897626. -1906840396 What is -497.63474 take away -64651? 64153.36526 -285257343110+0.44 -285257343109.56 What is -14.236 - 6577010.1? -6577024.336 What is 0.2 less than -631994416425? -631994416425.2 0 - 517277.75911 -517277.75911 Total of 16459.41 and -194322. -177862.59 12008.8364+-3515 8493.8364 Add together 25 and -976554894310. -976554894285 What is 3.3 - 10131256037? -10131256033.7 What is 0.125 plus 37881890872.5? 37881890872.625 Work out -2.6511533 - 1.2691. -3.9202533 What is 8372525 - -42997? 8415522 What is -125986.73925332 minus 0.2? -125986.93925332 Subtract -638137161219 from 0.1. 638137161219.1 What is -12769 - 983.2433008? -13752.2433008 Work out -101 + -66220893952. -66220894053 Add together -136 and 0.029529645772. -135.970470354228 Subtract 0.0926 from 274495980.45. 274495980.3574 What is -3186512483 take away -13017? -3186499466 What is 208637 less than 0.5316405? -208636.4683595 Calculate -1118 + 6231611877. 6231610759 What is -0.115 - 7967835.962? -7967836.077 Add together -1.6 and -9986745017479. -9986745017480.6 Calculate 173.3 - 2.5704263. 170.7295737 Work out 0.2043508 + -549670.3. -549670.0956492 Work out 1.5 + 5562639579. 5562639580.5 Total of 301317805379049 and -1. 301317805379048 Put together -1001478 and -1444476.53. -2445954.53 1431519218+15.2 1431519233.2 Calculate -0.5 + 173138582042. 173138582041.5 Total of -11.8 and -0.10469616005. -11.90469616005 What is -5.1 take away 21.12476765716? -26.22476765716 What is -42 minus 27794519704518? -27794519704560 What is 0.3 + 636303305122? 636303305122.3 Total of 2704 and 99874.57. 102578.57 Calculate 107.7 - 75344095341. -75344095233.3 What is 1915.8 plus 21069162? 21071077.8 What is -8.04533016739 take away -0.1? -7.94533016739 Sum 399605061054 and 726. 399605061780 Add together -1333.53969356259 and 0.06. -1333.47969356259 What is 34924.96979981 - -2? 34926.96979981 Sum -1.13053273015 and 39. 37.86946726985 Total of 0.19 and 27979588667. 27979588667.19 Work out -1614547854 - -390. -1614547464 What is -434797043.07 + 0.2? -434797042.87 -59642+54652.4 -4989.6 What is 187837861 minus -0.106? 187837861.106 Subtract -6871801211612 from -0.1. 6871801211611.9 Work out -2410208435 - 1583. -2410210018 What is the distance between 76715.16 and 3.7949? 76711.3651 Calculate -129093 - 0.0051. -129093.0051 What is the distance between -53422036.2 and 1.93? 53422038.13 What is -6371000554214 take away -5? -6371000554209 What is -11039.6 take away -1439162? 1428122.4 Put together -71119 and 111.628161. -71007.371839 Add together -0.4 and -27458684762029. -27458684762029.4 What is 543424927 + -43226? 543381701 517735109281+9.7 517735109290.7 Sum -24984036620552 and 0. -24984036620552 What is 29067185566 - -0.4? 29067185566.4 What is the distance between -1768226600 and -162131? 1768064469 What is 0.04380624607 + -0.507? -0.46319375393 What is 1435778998.215 + 2? 1435779000.215 -104629342211687 + -4 -104629342211691 Sum 0.5 and 9437581966102.4. 9437581966102.9 What is 241 plus 8429930803? 8429931044 What is 0.0569 take away -0.5671577777? 0.6240577777 -20958+-18.624909558 -20976.624909558 Total of -40 and -0.098788946. -40.098788946 What is 4 plus 629691.03166? 629695.03166 What is 0.8 plus 0.18023550070521? 0.98023550070521 What is the distance between 114.985804 and 4646.26? 4531.274196 What is -2.9815722 take away -37.16? 34.1784278 What is 0.20819250267 plus 3.1? 3.30819250267 Total of -572.3 and -2306492549. -2306493121.3 What is 9142674503 plus 1077.1? 9142675580.1 What is -1083 - 102169244? -102170327 What is 1075638447 plus 1025? 1075639472 What is 106597015039697 less than -12? -106597015039709 -105 - 110588542.8748 -110588647.8748 Sum 4.246702984 and -103.5. -99.253297016 3423400 - -98.0796 3423498.0796 Add together 2281874.06 and -2070. 2279804.06 What is 4073445146 + 0.0731? 4073445146.0731 -5825+-5195.609162 -11020.609162 Sum 0.07 and 494811845. 494811845.07 What is 1232 + -0.892857764? 1231.107142236 Work out -76159876644 + 21. -76159876623 What is the difference between -141764967187 and 28? 141764967215 -1204.46+535043 533838.54 34277 - -606661 640938 Work out 1028654 - 14046249. -13017595 Calculate 1177948728767 - -1. 1177948728768 What is -208.0479 take away -63.83041? -144.21749 Put together -123866326 and 3815023. -120051303 121658089+13.825 121658102.825 What is 1836.5590657 - 2.2? 1834.3590657 What is 3 minus 153274008470? -153274008467 Put together -16312850.1757 and 0.096. -16312850.0797 What is 0.0891 less than -120356996? -120356996.0891 What is -2 - -190719888700896? 190719888700894 What is the distance between -1405400.7 and 1326446? 2731846.7 -0.28 + 344279148.2 344279147.92 Add together -583252227720 and 4. -583252227716 What is the distance between -246505 and 0.03606? 246505.03606 What is the distance between 3769921975072 and 175? 3769921974897 What is 3 - 442254717391? -442254717388 Sum 53549178839 and -0.04. 53549178838.96 Total of -0.1484 and 252763.358. 252763.2096 Put together 0.4669408 and 89490. 89490.4669408 What is the distance between 0.1 and 1530340074170? 1530340074169.9 What is -527 minus 719102092747? -719102093274 What is the distance between 0.014157 and -7461.5334? 7461.547557 Add -2 and 10429913.3270523. 10429911.3270523 What is -26950686.3 less than 2621? 26953307.3 Subtract 878195563 from 21053. -878174510 Sum -35228.19387 and 0.45. -35227.74387 What is the difference between -0.03 and -5861228740183? 5861228740182.97 Sum -177796205 and 56422. -177739783 0.00642556 - 328965 -328964.99357444 What is the diffe
{ "pile_set_name": "DM Mathematics" }
-2*p + 4*p - 3*d = 309. Is 9 a factor of p? True Suppose 87*a = 280344 - 37701. Is a a multiple of 18? False Let w = -229 - -244. Let v(x) = x + 40. Is v(w) a multiple of 19? False Let h(l) = -5*l + 215. Let f be h(43). Suppose -50*g + 40*g + 1850 = f. Is 6 a factor of g? False Let s(k) = -2*k**2 - 10*k + 9. Suppose 0 = -7*v - 35. Let w be s(v). Suppose -15*r + 696 = -w*r. Is 15 a factor of r? False Let f(o) = -o**2 - 26*o + 13. Let w be (-51)/3 - (-1 - 3). Let a be f(w). Let g = a + -46. Does 34 divide g? True Let a = 27 + -21. Let x be 501/(-4) - (-6)/(-8). Is (a - 7)/(2/x) a multiple of 9? True Let k = 14796 - 9593. Is 41 a factor of k? False Let q = 286 - 268. Suppose 0 = -q*h + 6*h + 13320. Does 37 divide h? True Is (-59334)/(-8) - -2 - (-390)/(-520) a multiple of 10? False Suppose 0 = -o - 2*q + 3*q + 19, -4*o - 5*q + 103 = 0. Let l(i) = 77*i - 2371. Let u be l(31). Suppose u*t = o*t - 180. Is 6 a factor of t? True Suppose -33*b + 127729 = 36649. Suppose 3*z - b = -21*z. Is 2 a factor of z? False Let k(h) = 1495*h - 404. Is 39 a factor of k(16)? False Suppose 95566 = 3*i + 3*h + 25510, -5*i + h = -116730. Is 85 a factor of i? False Let p(m) = 4*m + 39. Let c be p(-9). Suppose 32 = c*v + 4*s, 2*v + 2*s - 12 = 6. Is 11 a factor of -55*((1 - 6) + v)? True Suppose 0 = 84*l - 535962 - 589554. Is 81 a factor of l? False Suppose 3*j + 6 = -4*p, -p = -2*j + 7 - 0. Let k(x) = -30*x - 358. Let z be k(-12). Suppose -2*w = 4*o - j*o - 166, -4*w = -z*o + 148. Does 8 divide o? True Let t = 369 + -367. Suppose 0 = 5*g + 4*d - 5326, -5*g + t*d - 880 = -6182. Is 71 a factor of g? False Suppose -10*q + 9*q = 0. Suppose 5*u = q, -5*u + 2*u + 225 = 3*z. Does 12 divide z? False Suppose -443*v = 2*b - 439*v - 49912, 3*v = -b + 24954. Does 64 divide b? True Let h(v) = v**3 + 16*v**2 - 3*v - 15. Let s be h(-11). Let c(z) = -2*z**3 + 4*z**2 - 11*z + 33. Let u be c(6). Let j = s + u. Is 47 a factor of j? False Suppose -2*t + 2*y + 7 = 3, 2*y = -t + 11. Suppose 4*g = -4*s + 152, -194 = -t*g - 0*s - 3*s. Is 20 a factor of g? True Let j(r) = 21*r**2 - 8*r - 18. Let h be j(-8). Suppose -h = -5*b + 4*z, b - 4*z + 254 = 2*b. Is b a multiple of 14? False Suppose 8*t - 166 = 762. Suppose -932 = t*n - 112*n. Is n/(-6) - (-20)/120 a multiple of 13? True Suppose -4*l + 4 = 4*u, 14 = -4*u + 3*l - l. Let r be 7546/63 - u/9. Suppose -14*a - r = -15*a. Is 13 a factor of a? False Suppose l - 6*l + 5 = 0, 5*l = -4*b + 13. Suppose -3*k + 387 = -h - 175, 2*h + 376 = b*k. Is k a multiple of 36? False Let n = -91 + 66. Does 16 divide 127/((-10)/(-4)*(-10)/n)? False Let u(q) = -4*q + 93. Let v(n) = n - 31. Let o(l) = -3*u(l) - 8*v(l). Let c be o(7). Is 50 a factor of -131*(1 + -5 - c)? False Let o = 3419 - -2469. Is o a multiple of 23? True Let t(m) = 10*m**2 - 29*m + 58. Let a be t(2). Suppose 3110 + a = 18*b. Is 5 a factor of b? True Let s = -6580 - -11865. Does 74 divide s? False Let b(r) = 642*r**3 + 2*r. Suppose 4*p = 21 - 17. Does 20 divide b(p)? False Let h(w) = 2 + 6*w**2 + 26*w - 3 - 23*w - 2. Let i be h(1). Does 59 divide (3 + 159/i)*2? True Suppose 93*o = 95*o + 62. Is -5 - o - (-5)/10*2 even? False Let n(t) = -3*t**3 - 8*t**2 + 100*t - 45. Is 11 a factor of n(-10)? True Is 10 a factor of 1507304/1508 - 12/(-26)? True Let j(m) be the third derivative of 19*m**5/30 - m**4/3 + 4*m**3/3 - 36*m**2. Does 6 divide j(1)? False Suppose 4*a - c = 7213, 5*a = 6*a + 5*c - 1777. Suppose -4*k + 3*p + 31 = -a, -5*k + 3*p + 2295 = 0. Is 21 a factor of k? True Let x(t) = t**2 - 45*t + 390. Is x(-78) a multiple of 24? True Suppose 3*i = 5*i - i. Suppose 2*c - 4 = i, -7*w + 5*w + 152 = -c. Is w even? False Let q(i) = 83*i**3 + 3*i**2 - 82*i**3 + 3 - 10*i - 10*i**2. Let p be q(7). Let v = 77 + p. Is v a multiple of 2? True Let r(f) = f**3 - 2*f**2 + 2*f - 34. Let b be r(5). Let t(j) = -20*j + 1. Let g be t(-1). Suppose -6*c + g = -b. Is c a multiple of 3? True Let f(s) = 44*s**3 - 3*s**2 + 2*s - 1. Is f(1) a multiple of 6? True Is 164 a factor of 7928/2 - (-34)/((-476)/(-70))? False Suppose 3*d + 0*d = -42. Is (63/49)/(-9) - 3922/d a multiple of 10? True Let m be 16/20 + (-649)/5. Let y = m + 234. Is y even? False Let g(q) = 2*q**3 + 3*q**2 - 10*q + 1. Let b be g(3). Let d = 56 - b. Suppose 2*m - 2*k = 14, 1 + 3 = d*k. Does 8 divide m? True Suppose 0 = 3*c + 358 - 1486. Suppose 54*w = 56*w - c. Is 47 a factor of w? True Let b(y) = 11*y**2 - 22*y - 12. Is 4 a factor of b(6)? True Suppose 7*t - 16*t = 8*t - 705840. Is t a multiple of 120? True Let q(g) = g + 13. Let b be q(15). Suppose b = y - 4*u, -63 = -2*y - y + 5*u. Is 16 a factor of y? True Let d = -3390 + 16514. Is 17 a factor of d? True Suppose 2*c + 4 = -2*s, 3*s - c - 4 = 5*s. Does 10 divide 2/(-1 + s + (-446)/(-148))? False Let n(c) = -710*c - 3733. Is n(-16) a multiple of 11? False Let x(z) = 12*z**2 + 4*z - 403. Let l be x(16). Suppose -4*m + 2*m = -22. Is 6 a factor of l/33 + 2/m? False Does 21 divide (4597*(-4)/8)/((-42)/84)? False Let k be (-232)/28 - (-2)/7. Let f be k + 5 - (-2 - -1). Is 19 a factor of 780/(-40)*(-2 + f)/2? False Suppose -5 - 170 = -k - 2*p, 0 = -5*p - 25. Is 37 a factor of k? True Let w be ((-1736)/(-2))/(16/40). Suppose -4*c - 840 = -6*c + 4*p, 5*c - w = -4*p. Is c a multiple of 11? False Let s(d) = -266*d**2 + d - 1. Let v(b) = -266*b**2 + 2*b - 1. Let g(x) = 4*s(x) - 3*v(x). Let a be g(-1). Let q = 455 + a. Is q a multiple of 19? True Let h(q) = q**2 + 31*q + 13. Let l be h(-30). Let c(k) = 2*k + 17. Let b(z) = 2*z + 18. Let a(v) = 2*b(v) - 3*c(v). Is a(l) a multiple of 5? False Is 57 a factor of ((-7182)/(-168))/((-30)/(-13360))? True Suppose -2*j - 52*u = -51*u - 107560, -5*j - 3*u = -268899. Is j a multiple of 13? True Let x = 223 - 219. Suppose -x*w - 3*u + 2324 = -u, 1745 = 3*w + 2*u. Is w a multiple of 48? False Suppose -116*y - 3*i + 38477 = -111*y, -4*i = -4*y + 30788. Is y a multiple of 6? False Let v = -1841 + 2199. Does 5 divide v? False Suppose 147*a = 138*a + 18. Suppose -2 = b, -3*b = -k + a*b + 615. Does 11 divide k? True Suppose -4*b + 2*b + 4398 = -9858. Does 36 divide b? True Let v(l) = 16263*l + 754. Is 91 a factor of v(1)? True Let u = 9876 + 13545. Is u a multiple of 45? False Let w = 978 - 648. Suppose -32*r + w = -27*r. Is r a multiple of 22? True Suppose 6*r + 1067 = -211. Let k = 122 - r. Suppose 5*x - q - q = k, q + 271 = 4*x. Is 23 a factor of x? True Suppose 3*s = 17*s - 518. Let m(o) = -o**2 + 44*o - 157. Is 56 a factor of m(s)? False Suppose -3*k = -3*z - 16746, -7*z = -3*k - 3*z + 16749. Does 27 divide k? False Let u(c) = -c**2 - 19*c + 3. Let p be u(-19). Suppose 5*b + 1639 + 415 = p*s, 2*s - 1401 = -3*b. Does 11 divide s? True Let y = 58 + -61. Let p(t) = 48*t**2 + 9*t + 15. Does 15 divide p(y)? True Let l(u) = -8*u + 9. Let c be 3/(-6)*(9 + -1). Let t be l(c). Suppose -4*v = 2*z - 30, 4*z - 7 = -4*v + t. Is z a multiple of 2? False Suppose -p + 4047 = 4*o, 5*o + p - 3036 = 2*o. Suppose 0 = -3*b - q + o, 2*b - 542 = 2*q + 124. Does 12 divide b? True Suppose -11*z + 10805 = -6*z. Let c = z + -1375. Is 20 a factor of c? False Suppose 55*r = f + 52*r - 16011, 2*f - 5*r = 32029. Does 48 divide f? True Suppose 824 = -6*h - 2*h. Let a = h + 166. Is a a multiple of 8? False Let r(a) = a**3 + 27*a - 164. Is r(9) a multiple of 3? False Suppose 0 = -5*x + 6*x + 41. Let s = 46 + x. Suppose 0 = -4*w - s*m + 133, 5*w + 0*w - 3*m = 157. Is 30 a factor of w? False Let y be (1 + -5)*(-12 + 10). Is 19 a factor of ((-210)/y + -1 - -1)*-4? False Let r(q) = 7*q**2 - 51*q - 263. Does 3 divide r(-5)? False Does 59 divide -295*(-15)/525*875? True Let k(i) = 103*i**2 - 2*i - 2. Let r be k(2). Suppose 170*u - r = 169*u. Does 12 divide u? False Let r(b) = 11*b + 71. Let u(j) = -7*j - 47. Let w(z) = -5*r(z) - 8*u(z). Let d(m) = m - 12. Let q be d(-4). Is w(q) a multiple of 3? False Let n(t) = -t**3 + 26*t**2 - t + 47. Let o be n(26). Suppose -o*q = -645 - 2820. Is 14 a factor of q? False Suppose -2*p = -2*m + 2662 + 2982, 3*p - 5664 = -2*m. Does 53 divide m? False Suppose -6 = -27*f + 25*f. Suppose 4*m - 680 = -4*p, f*m = -0*p + p - 162. Is p a multiple of 8? True Let g(n) = n**2 + 62*n + 717. Does 104 divide g(-57)? False Suppose 95 = 60*i - 205. Let o(v) be the first derivative of v**4/4 - 2*v
{ "pile_set_name": "DM Mathematics" }
ppose 2*q = 4*p - 10, -q = -3*q + 3*p - 7. Calculate the greatest common factor of 1 and q. 1 Let m = 14 + -9. Suppose -735 = -71*s + 22*s. What is the highest common divisor of m and s? 5 Let x(c) = -c**3 - 6*c**2 + c - 2. Let j be x(-6). Let g be (2 - 45/6)*j. What is the highest common divisor of g and 11? 11 Let k(m) = 9*m - 2. Let y be k(-8). Let w = -53 - y. What is the greatest common divisor of w and 14? 7 Suppose -4*i = -5*z - 17, 0 = -2*i + 5*z - 0 + 1. Calculate the greatest common factor of i and 1. 1 Let x(g) = -g**3 - 7*g**2 + 8*g + 3. Let b be x(-8). What is the highest common factor of b and 6? 3 Let q(l) = -2*l + 0*l**2 - 4*l**2 + 3*l**2 + 5 - 3*l. Let m be q(-6). Let h(k) = 12*k**2 - 1. Let c be h(m). What is the greatest common divisor of c and 11? 11 Let w = -4 + 8. Let u be 1758/9*(-6)/w. Let s = 433 + u. What is the highest common factor of s and 20? 20 Let p be -10*-2*1/(-2). Let l = p + 25. What is the greatest common divisor of l and 15? 15 Suppose 4 = 4*o - 0. Let w = -2 + 5. Suppose -5*a - 5*s - 5 = 0, -w*a + 3*s = -a - 8. Calculate the highest common divisor of o and a. 1 Let y be 1 - (-17 - 2/2). Let u = 13 - y. Let d be ((-16)/(-6))/((-2)/u). Calculate the highest common factor of d and 4. 4 Let g be 9*-1 + -2 + 3. Let l be g/(-4) + 0 + 61. Suppose 0 = 2*v - 14 - 0. Calculate the greatest common divisor of l and v. 7 Let j = 12 + -1. Let o = j - 5. Let i(t) = -t + 11. Let q be i(o). What is the highest common divisor of q and 5? 5 Suppose 4*s - 33 = -z, 5*s = -3*z + 6*z + 37. Calculate the greatest common divisor of 64 and s. 8 Let s = -56 + 66. Let f be 2/8 - 319/(-4). Calculate the highest common factor of s and f. 10 Suppose 15 - 3 = v. Suppose 5*u = u + v. Suppose u*w = -s + 7*w + 28, 0 = 2*w + 8. What is the highest common divisor of 96 and s? 12 Let p be 1/3 + 568/6. Let a = -9 - -28. Calculate the highest common divisor of a and p. 19 Suppose 2*r = 5*r + 4*v + 34, -5*r - 5*v - 65 = 0. Let t = -9 - r. Let c be -1*(1 + 5*-20). Calculate the highest common divisor of c and t. 9 Let g be 2 + -4 + 7 + 2. Suppose 0 = -4*q + 605 + g. Let n = -41 + q. What is the greatest common factor of n and 14? 14 Let q(d) = 5*d - 4. Let r be q(3). Let b be (-24 + 0 - -2)/(-1). Calculate the highest common divisor of b and r. 11 Let q = 11 + -3. Let z(w) = -w**2 - 11*w + 16. Let x = -16 + 5. Let c be z(x). Calculate the greatest common divisor of c and q. 8 Let j = 74 + -37. Let x = j + -15. Suppose -4*p = 2*l - 308, 5*l - 580 - 190 = -3*p. Calculate the greatest common factor of x and l. 22 Suppose 7*n = 2*n + 20. Suppose -n*x = -5*x + 100. What is the greatest common divisor of 20 and x? 20 Suppose 5*o = h + 47, 3*h = -o + h + 5. Calculate the highest common divisor of 6 and o. 3 Let v = 60 + -44. What is the highest common divisor of v and 40? 8 Suppose -12 + 11 = -q. Calculate the greatest common factor of 11 and q. 1 Let y be (-4)/(3 - 28/8). Let c(v) = 20*v + 4. Let z be c(3). Calculate the greatest common factor of z and y. 8 Let f(r) = -r**3 - r - 2. Let c be f(-2). Let p = c - -60. Calculate the highest common factor of p and 17. 17 Suppose 3*d - 6*d = 3*l - 162, d + 2*l - 51 = 0. Suppose a + 4 + 23 = 0. Let y = a + d. Calculate the highest common divisor of 10 and y. 10 Let h be ((-3)/(-12) - -1)*32. What is the greatest common factor of h and 16? 8 Let r be (-1404)/(-16) - (-1)/4. Calculate the highest common divisor of 11 and r. 11 Suppose u - 2*u = -h - 11, 3*u + 3*h - 39 = 0. Suppose -5*q + 7 = 2*k - u, -3*k + 5*q + 16 = 0. What is the highest common divisor of k and 7? 7 Suppose 4*u = 2*u + 16. Let w be (-1)/(3/(-6))*14. Suppose x = 2*p + u, 5*p + 19 = 4*x - w. What is the greatest common divisor of x and 162? 18 Let a be ((-9)/6)/3*2. Let l be 1/((-15)/16 - a). Let n be 64/(-1)*(-2)/2. Calculate the greatest common factor of l and n. 16 Let n be (-1)/1*-1*3. Suppose 3*j - 59 = -3*c - 2*j, -c + n*j + 1 = 0. Calculate the highest common factor of c and 104. 13 Suppose -5*b + 2*g + 11 = 0, 0*b - 4 = -2*b + g. What is the greatest common divisor of b and 12? 3 Let x(i) = i**2 + 4*i + 4. Let h be x(-3). Let q be -1*((h - 0) + -3). Let a be -1 + q - (3 - 4). What is the highest common factor of 2 and a? 2 Let t = 5 + -3. Suppose -a + 29 = -t*a. Let h = 137 + a. Calculate the highest common factor of 12 and h. 12 Let c = 16 + 5. Suppose 5*a - c = 5*u + 19, u - 58 = -5*a. Suppose a = 4*i - 3*i. What is the highest common factor of i and 22? 11 Let g = 328 - 130. Calculate the greatest common factor of 22 and g. 22 Suppose -2*y = -2*o - 3*y + 237, -3*o + 357 = 2*y. What is the highest common factor of o and 78? 39 Suppose -6 = -5*n - 1. Let g be 1/(-3*n/(-396)). What is the greatest common factor of 12 and g? 12 Let m be (33/2)/((-3)/(-4)). What is the greatest common divisor of m and 2? 2 Suppose -12*t - 144 = -15*t. Calculate the highest common factor of t and 72. 24 Suppose 17 = o + 3. Suppose 0 = q - 5*k - o, -q - 10 = -4*q - k. Calculate the highest common factor of 44 and q. 4 Let q(d) = -95*d**2 - 2*d - 7. Let u(g) = -96*g**2 - 2*g - 6. Let a(l) = 4*q(l) - 5*u(l). Let k be a(-1). What is the highest common divisor of 25 and k? 25 Suppose 0 = -6*i - 184 + 964. Calculate the greatest common factor of i and 52. 26 Let x be 8 - 3 - 3 - -1 - -12. Calculate the highest common divisor of 5 and x. 5 Suppose 5 = -r + 2*r. Let u be (-44)/r - 2/10. Let t(w) = w**3 + 10*w**2 + 6*w + 13. Let g be t(u). What is the highest common divisor of 8 and g? 8 Let c(r) be the third derivative of -1/60*r**5 + 2*r**2 + 0*r - 5/2*r**3 + 0 - 13/24*r**4. Let v be c(-10). Calculate the highest common divisor of 150 and v. 15 Let p be 2086/98 - (-4)/(-14). What is the highest common factor of p and 7? 7 Let h(i) = 3*i**3 - 2*i + 0*i**3 - i + 6*i - 2*i**2. Let z be h(3). What is the highest common divisor of z and 9? 9 Let i = -275 + 490. Let g(d) = -d**2 - 4*d + 1. Let n be g(-3). Suppose 5*j - 370 = -n*o, -3*j = -0*j + o - i. Calculate the highest common divisor of 10 and j. 10 Suppose 0*m - 12 = -m. Let c = -5 + m. What is the greatest common divisor of c and 56? 7 Suppose 2*k - 80 = 4*o, -5*k - 3*o + 206 = -20. Calculate the highest common factor of 11 and k. 11 Let y(t) = -t**2 - 2*t - 3. Let s be y(-3). Let p = 8 + s. Suppose p*w - 29 = 15. Calculate the highest common divisor of w and 88. 22 Let w be 4/6 - 20/(-6). Let f be ((-20)/(-15))/(4*2/12). What is the greatest common divisor of w and f? 2 Suppose 0*w = 3*w - 195. Let x(f) = -f + 6. Let y be x(6). Let m(q) = -q**3 - q**2 + 26. Let n be m(y). What is the highest common divisor of w and n? 13 Let j = 108 - 58. What is the highest common factor of j and 40? 10 Suppose 4*w = -3*o + 49, w - 33 = -2*w - o. Calculate the greatest common divisor of w and 15. 5 Let o be (209/2)/(4/8). Suppose 0 = 2*r - 2*n + 6*n - 20, 3*r = -n + 5. Let c be (-2 + r - -21)*1. Calculate the greatest common divisor of o and c. 19 Let h(s) = s**2 + 176. Let c be h(0). Let i = c + -95. Let a(d) = -d**3 - 8*d**2 - d + 1. Let z be a(-8). Calculate the greatest common divisor of i and z. 9 Let t = -118 + 166. Let c(o) be the third derivative of o**5/60 + o**4/6 + o**2. Let l be c(-6). What is the highest common divisor of l and t? 12 Suppose 5*y = 7*y + 152. Let o = 115 + y. Let w be o/(-2 - 9/(-3)). Calculate the highest common divisor of w and 13. 13 Let s be (-3765)/(-18) - 1/6. What is the greatest common factor of s and 11? 11 Let b = 13 + 3. Let d = 31 - 23. What is the greatest common factor of b and d? 8 Let i(a) = -8 - 14 + 10 - 4*a. Let s be i(-8). What is the highest common divisor of 30 and s? 10 Let x be 3/(-5) - 363/(-5). What is the highest common divisor of x and 24? 24 Suppose -t + 16 = 3*t. Suppose -4 = 4*k, 4*w - t*k - 202 = w. Calculate the greatest common divisor of w and 6. 6 Let v(l) = l**3 - 8*l**2 - l - 7. Let d be v(9). Let h = 92 - d. What is the highest common factor of h and 9? 9 Suppose 0 = o - 63 - 27. Suppose -104 = -t + 5*t. Let f = -16 - t. What is the highest common divisor of f and o? 10 Let n(l) = l**3 - 7*l**2 + 7*l - 5. Let x be n(6). Let d be x + 0 + 4 + 39. What is the highest common factor of d and 11? 11 Let v be 3/(1*2/12). Let n(b) = -b**2 - 21*b + 22. Let k be n(-
{ "pile_set_name": "DM Mathematics" }
5*c + 198. Solve 0 = 70*g - c*g for g. 0 Suppose -56 = -2*v - 3*w - 9, 4*v - 3*w - 49 = 0. Suppose -3*l - v = -11*l. Solve -u - 4 = -l for u. -2 Let m be (-5 - (-3 - 465)) + -9. Let t = 456 - m. Solve -6*y + t = -5*y for y. 2 Let y = 63 - 63. Let t(m) = -4*m + 3. Let w(k) = k - 7. Let p be w(4). Let l be t(p). Solve -3*s = -y*s - l for s. 5 Let i = -8910 - -8922. Solve -i*a + 60 = -22*a for a. -6 Let i = -75 + 114. Let l be (i/15 - 2) + (-12)/(-5). Let r be (-49)/(-14) - 1*l/(-6). Solve 2 + 2 = r*q for q. 1 Let l be (-1 - (-627)/9)/(4/(-6)). Let o = -97 - l. Solve -o*b + 4*b + 6 = 0 for b. 3 Suppose -6*m = 5 + 1. Let u be (-2)/4*16*(0 + m). Let p be (-10*(-1)/u)/((-3)/(-48)). Solve -t - 3*t = -p for t. 5 Let k(r) = -r**3 + 12*r**2 + 15*r - 23. Let z be 4 + 11/(11/9). Let v be k(z). Solve -11 = -2*b - v for b. 4 Let d(u) = -4*u**3 + 2*u + 3. Let s be d(-2). Let m(b) = -b**2 - 84*b - 1084. Let y be m(-16). Solve -y*x - 11 = -s for x. 5 Let a(h) = -90*h - 897. Let l be a(-12). Solve -7*f = -l + 204 for f. -3 Let r(q) = -q**2 - 28*q - 73. Let m be r(-25). Let s be (-1)/2 - (-7)/2. Suppose -4*l + 2 = -s*z, z = -4*l - 0*z + 10. Solve m*u + 10 = l for u. -4 Let x be (-44)/(-6) + 5/(-15). Suppose 2*a - a = 5*k - 2, a + 4*k - x = 0. Solve -14 = -a*u - 2 for u. 4 Let d(j) = -6*j + 9*j**2 + 10 + 0*j - 2*j - 9*j**3 + 8*j**3. Let z be d(8). Suppose z*r - 20 = 20. Solve -5*b = -11 - r for b. 3 Let i(v) = 183*v + 96. Let l be i(4). Suppose 213 - l = -41*y. Solve y = 30*w - 25*w for w. 3 Suppose -9*j = -3*j + 4*j - 160. Solve -j*t + 55*t = -78 for t. -2 Let o(a) = a**3 + 156*a**2 + 303*a - 766. Let x be o(-154). Solve 7*d = -2*d - x*d for d. 0 Let c = -532 - -970. Let a = c + -436. Solve k = -a*k - 6*k for k. 0 Suppose -5*j + q = -3*q + 1, -4*j - 2*q = -20. Suppose 6*i = 32*i - 52. Suppose 2*g + 0*h = i*h + 18, 0 = g + 3*h + 7. Solve -j*z = -g*z for z. 0 Suppose -18*z + 283 = 13. Let d(h) be the third derivative of h**5/30 - 2*h**4/3 + h**3/2 + 7*h**2. Let n be d(8). Solve -8*b = -n*b - z for b. 3 Let x = 12389 + -12219. Solve -x*a = -132*a + 304 for a. -8 Suppose -280 = -31*j + 23*j. Let n = -105 + j. Let o = -66 - n. Solve -10 = m + o*m for m. -2 Let w(t) = -t**2 + 309*t - 12098. Let h be w(46). Let c = -3 + 5. Solve -5*m + c*m + 15 = h for m. 5 Suppose -10*n + 18 = 2*g - 14*n, -3*n = 9. Solve 42*y = 41*y + g for y. 3 Suppose -427 = 5*g - 12*g. Suppose 3*m - 4*v - g = 0, 2*v = 5*m - 2*v - 91. Solve -8*s + 11*s - m = 0 for s. 5 Let i be -6*(-5 + (-21)/(-9)). Suppose -i - 29 = -9*w. Solve 1 = w*r + 11 for r. -2 Let t(w) = -w**2 + 2*w + 1. Let y(d) = 5*d**2 + 2*d - 30. Let m(j) = 6*t(j) + y(j). Let r(q) = q + 4. Let i be r(8). Let s be m(i). Solve 7*z - 5*z = s for z. 0 Let o be (-1356)/(-18) + (-2)/(-3). Suppose 12*k = 3*k + 720. Let y = k - o. Solve 4*v + 4 + y = 0 for v. -2 Let k = 114 + -105. Suppose 2048 = -k*c - 859. Let u be c/(-57) - 4/6. Solve 24 = -u*j - 1 for j. -5 Suppose x + 2*o = 89, -4*o = 27*x - 26*x - 99. Solve -25 = -26*u + x for u. 4 Let c = 29343 + -29319. Solve c*s + 18 = 26*s for s. 9 Suppose 5*r + 6 = 7*r, 24 = 3*s + r. Let i(c) = -2*c**2 + 14*c + 8. Let a be i(7). Solve s*u - a*u = 0 for u. 0 Let s be (-40)/6*-12*2/(-8). Let f be s/50 + 504/10. Solve -2*z - f = -12*z for z. 5 Suppose 28 = 2*f - 0*f + p, -53 = -3*f + 4*p. Suppose 0 = -5*o - 2*q - 0*q + 104, q = -4*o + 82. Let j = o - 18. Solve -j*n - 3*n = -f for n. 3 Let t be (35/10 + -1)*(-4)/(-5). Let v = 7 - 3. Solve v*a - t*a + 2 = 0 for a. -1 Let b = 4963 - 4946. Solve -b*f = 27 + 7 for f. -2 Suppose -3*o - 4*l + 5 = 0, 5*o - l + 6 + 1 = 0. Let d(g) = 2*g**2 - 2*g - 1. Let s be d(o). Suppose 17*c - 16*c = s. Solve 2*x - c*x = 0 for x. 0 Let g = 216 + -221. Let j be g - -12 - (0/3 + -2). Solve -j = -31*x + 28*x for x. 3 Suppose -2*b - 226 = -2*z, -4*z - 6*b + 3*b + 431 = 0. Let w = -109 + z. Solve 2*o + w = -5 for o. -3 Let a be -4*(-12)/(9/3). Suppose -5*h = -5*b + 10, -65 = -5*h - 70. Solve b = 3*y + a for y. -5 Suppose -72 = 8*z, 5*t + 598*z - 594*z = 89. Let y be ((-2)/(-3))/(2/12). Suppose 4*k - 9 = -y*i - 1, 3*k - 14 = 5*i. Solve -k*v = 2*v - t for v. 5 Suppose -6*t = -289 - 77. Let i = t + -55. Let w be ((-160)/(-15))/2 - 2/i. Solve 0 = w*o - 7 + 22 for o. -3 Let l(t) = -133*t + 3742. Let u be l(28). Solve -u*z = -79*z + 183 for z. 3 Let t be (-143)/1001 - 617/(-7). Solve -91*k - 18 = -t*k for k. -6 Let r(a) = a**2. Let b(n) = -n - 3. Let s(d) = -b(d) - r(d). Suppose 16 = 3*w + 4*x, 2*w - 2*x + 1 + 7 = 0. Let i be s(w). Solve 4*j = 13 + i for j. 4 Suppose -8*p - 2 = -7*p, -2*g - 2*p - 4 = 0. Suppose g = -4*d + 3*o + 48, 7 + 5 = -3*o. Solve 5*w + 34 - d = 0 for w. -5 Let b = -218 - -220. Suppose -11*z = b*t - 8*z - 8, 0 = 5*z. Solve 30*j + t = 31*j for j. 4 Let g(x) = 3*x - 14. Let w be g(6). Let p be ((-45)/10)/(9/(-6)). Let u be (-60)/(-35)*(17/p + -1). Solve 4*c + w = u for c. 1 Let q = -100 - -102. Suppose 4 = 2*l, l = q*n - 0 - 2. Solve n*d = -3*d for d. 0 Suppose 3*o = -d + 4, -3*d - 7 = o - 19. Solve 2*j - 10*j = o for j. 0 Suppose 0 = 5*u + 34 - 184. Let h be (4 - (-4)/16)*4. Let o = u - h. Solve 0 = 4*x - 1 + o for x. -3 Suppose -4*u - 2*q = -48, -38 = 39*u - 42*u - q. Solve -12*y = u - 86 for y. 6 Suppose -5*j - 28 = 3*s, s - 48 = 5*j - s. Let i be -1*(-4 - (j/(-4))/(-2)). Suppose -2*q + 3*t - t = 0, 0 = -i*t. Solve o = -q*o for o. 0 Suppose u + 3*w - 7*w - 31 = 0, -5*w + 155 = 5*u. Solve 1 = -8*z - u for z. -4 Let y be -20 + (-336)/(-20 + 6). Let u = -4 - -6. Suppose u*p = p + y. Solve -p*g - g + 25 = 0 for g. 5 Let r = -6099 - -6132. Solve 0 = -7*l - 61 + r for l. -4 Let f = 250 - -199. Let r = -445 + f. Solve -b = r*b for b. 0 Let z be (1*-18)/3*(-8 + 7). Suppose -k - z = -11. Suppose -m = 3*g - 2*m - 8, -3*g - 5*m = 4. Solve -k = -g*u + 7*u for u. -1 Suppose 0 = -3*k - 3*u + 9, -u = -2*k + 24 - 3. Let y(v) = -2*v**3 + 32*v**2 - 110*v + 3. Let x be y(11). Solve -5*q + x*q = k for q. -4 Let d be 0 + (-2)/4*0. Suppose 0 = 2*v + 5*l - d*l - 26, 4*l - 25 = -3*v. Suppose -5*r = -f - 3, 0*r = -3*r + v. Solve 2*k + f*k - 16 = 0 for k. 4 Let f be 35/(1 - (-24)/(-21)). Let u = 247 + f. Solve u*s - 6 = -4 for s. 1 Suppose 110 = 83*c - 214*c + 4040. Solve -c*y = 119 + 1 for y. -4 Suppose -3*t = -0*t - 27. Let k(c) = -4*c - 3 + t*c - 8*c. Let j be k(-1). Solve p + 1 + 4 = j for p. -5 Suppose -28*d + 23*d + 15 = 0. Suppose 69 + 21 = d*x. Solve -x*v + 25*v + 5 = 0 for v. 1 Suppose 0 = 5*b + 10, -4*b = -o + 5*o - 204. Let p = 58 - o. Suppose -8*d = -21*d. Solve d = p*m - m for m. 0 Suppose -u - 64 = -2*u. Suppose 20*n + 18*n = 228. Suppose -5*t + n = -u. Solve 0 = 5*x - 11 - t for x. 5 Let a(m) be the first derivative of 15*m**2 - 115*m - 122. Let s be a(4). Solve -s*r - 1 = -26 for r. 5 Let p be 1/5 + 1426/(-5) - -5. Let v = p - -280. Solve v = o + 4*o for o. 0 Suppose 1192 = 78*k - 190 - 3064. Solve 0 = 5*l + 67 - k for l. -2 Let i(m) = m**3 - 2*m**2 - 11*m + 25. Let h be i(5). Solve 1035*q + h = 1030*q for q. -9 Let r be (87*(-18)/189)/((-4)/42). Solve r - 212 = 25*s for s. -5 Suppose -4*s = -5*w + 23, -2*w + 3*w + s = 1. Let j = 1 + 4. Suppose w*d - 6 = -g, -4*g + 0*d - j*d = -45. Solve -10 - g = 5*k for k. -5 Let c be 4/((-12)/(-51)) + -10. Solve 31*p = -c + 162 for p. 5 Suppose 4*c + q - 55 = 0, -2*q = -4*c + 3*q + 85. Suppose 15 + c = 5*j. Solve 0 = 4*r - r - j for r. 2 Suppose 0 = -3*i - 4*r + 72, i - 8 = -r - 3*r. Solve -i - 2 = 17*n for n. -2 Let v(m) = 351*m + 729. Let c be v(-2). Solve 11*i + 16 = c for i. 1 Suppose 0 = -8*h + 3*h + r + 19, 2*h - 7 = r. Let q be 0 - -9 - (-3 - (-14 + 6)). Suppose -h*x = -8*x + q. Solve -2*a - x = 3 for a. -2 Let s(p) = -2*p**3 - 43*p**2 - 22*p + 67. Let m be s(-21). Suppose 363 = 41*t - m. Solve t*x + 8 + 3 = 0 for x. -1 Let s(n) = n**2 - 15*n - 29. Let q be s(16). Let h = q + 13. Let f be h/((0 - 4)/4). Solve 5*w + 7 + 18 = f for w. -5 Let d(h) = -2 + 8*h**2 - h**3 + 2*h**3 - 5*h**2 - 5*h. Let m be d(-3). Let j(t) = t**3 - 108*t**2 - 216*t - 435. Let i be j(110). Solve 0 = i*q - 12 - m for q. 5 Let p(g) = 19*g**2 - 35*g + 1. Let l be p(2). Solve 0 = -l*n - 801 + 759 for n. -6 Let j be 20/6 + (-4)/(-6). Let y be 241/6 - (-24)/(-144). Suppose -2*h - 2*a + 30 = 2*h, 4*h = -4*a + y. Solve -h*v = -6 - j for v. 2 Let s(k) = 10*k**3 -
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when l is divided by 6. 5 Calculate the remainder when (-1)/4 + 378/8 is divided by (-12)/(1*(-12)/16). 15 Suppose -2*m + 32 = -0*q + 3*q, 4*m = 16. Calculate the remainder when (-8)/(-4)*(10 + 1) is divided by q. 6 Let p = -17 - -21. Let q = 15 - p. Calculate the remainder when q is divided by 3. 2 Let z(o) = -6*o + 1. Let h be (1 + -1 - -2) + 2. Suppose -4*m - h*q - 18 - 6 = 0, q + 4 = 0. Calculate the remainder when 24 is divided by z(m). 11 What is the remainder when 99 is divided by 51/4*24/9? 31 Let i = 28 + -12. Calculate the remainder when 45 is divided by i. 13 Let d(l) = l**3 - 7*l**2 + 7*l + 1. Let v(k) = -k + 9. Let a be v(7). Suppose 0*s + 40 = a*s. Calculate the remainder when s is divided by d(6). 6 Let k be -66*(20/12 - 2). What is the remainder when (-10)/(-55) - (-414)/k is divided by 11? 8 Let b be (3/(-9) - -1)*-3. Let r(a) = -a**3 - 3*a**2 - a + 2. Let p be r(b). Suppose 45 = 3*l - p. What is the remainder when 29 is divided by l? 14 Let r = -34 + 54. Suppose -4*d + 174 = -x - 6, 5*x - r = 0. What is the remainder when d is divided by 16? 14 Let q(m) = -m**3 - 5*m**2 + 6*m + 5. Let a be q(-6). Let v = 2 + a. Calculate the remainder when 12 is divided by v. 5 Suppose 4*o - 534 = o. What is the remainder when o is divided by 10? 8 Let c be (-16)/6*18/(-12). Let q(s) = -2*s + c*s**2 - s**2 + 5*s - s**2. What is the remainder when 26 is divided by q(-3)? 8 Let c = 9 + -9. Suppose 3*h - 56 - 37 = c. What is the remainder when h is divided by 16? 15 Suppose 5 = -2*z + 1. Let k be 6/(-9) - z/3. Suppose k = -2*n + 11 + 11. What is the remainder when n is divided by 4? 3 What is the remainder when 488/6 - 4/(-6) is divided by 28? 26 What is the remainder when 68 is divided by (14 + 0 + 0)*1? 12 Suppose 5*x + b - 203 = -37, 3*x - b = 106. Suppose -4*w - 14 = -l - 0*l, -5*l + 2*w = -x. Let n = 24 - 13. What is the remainder when n is divided by l? 5 Let z(l) = -3*l - 1. Let c be z(-1). Suppose -3*u = c*s - 23, 0 = -3*s + 4*u - u + 42. What is the remainder when s is divided by 7? 6 Let r be (-21)/(-1 - (-7)/10). Suppose -d = 4*d - r. What is the remainder when 52 is divided by d? 10 Let k = -8 + 7. What is the remainder when 1 + 32 + (-3 - k) is divided by 11? 9 Let c = 20 - 6. Let h = c + 3. What is the remainder when ((-75)/3)/(2/(-4)) is divided by h? 16 Let k(f) = -f**3 + f - 1. Let v be k(2). What is the remainder when 37 is divided by 17/1 + v + 9? 18 What is the remainder when 32 is divided by 44/(-12)*(-1 - (2 + 0))? 10 Calculate the remainder when 42 - (-5)/((-15)/(-12)) is divided by 16. 14 Let o = -23 - -30. What is the remainder when (-32)/(-6)*(-9)/(-4) is divided by o? 5 Let u be (-4)/(-6) - (-37)/3. Suppose 4*w - 7 - u = 0. Suppose w*b - 36 = 29. What is the remainder when b is divided by 7? 6 Let m = 9 - 3. Suppose 0 = n - m - 5. What is the remainder when ((-31)/3)/((-2)/6) is divided by n? 9 Let n = 47 + -20. Suppose -n + 7 = -2*c. What is the remainder when 28 is divided by c? 8 Suppose k - 11 - 33 = 0. Let u = -4 + 2. What is the remainder when k is divided by (-1 - u)*(17 + -2)? 14 Let z(r) = -r**2 + 4*r + 11. Let u be z(5). Suppose -j + u*j - 10 = 0. Calculate the remainder when 6 is divided by j. 0 Suppose -18 - 49 = -z. Calculate the remainder when z is divided by 23. 21 Let k = -33 + 67. What is the remainder when 201 is divided by k? 31 Let w(j) = -j - 1 + 28*j**3 + 0 + 2*j. Let v(n) = n + 28. Let k be v(-27). Calculate the remainder when 82 is divided by w(k). 26 Let j be (-1)/(2/(-6)) - -24. Suppose j = u + 9. What is the remainder when 70 is divided by u? 16 Let u = -57 - -74. Calculate the remainder when 82 is divided by u. 14 Let u(i) = 6*i**3 - i**2 + 2. What is the remainder when 24 is divided by u(1)? 3 Let t(s) = -s**2 - 17*s + 7. Calculate the remainder when t(-10) is divided by 13. 12 Let a be ((-3 + 2)/(-1))/1. Let x be a*((-1 - -6) + 0). Let j = 4 + x. What is the remainder when 16 is divided by j? 7 Suppose 0 = -4*q + l + 33 - 10, -3*l = -4*q + 21. Calculate the remainder when q is divided by 3. 0 Suppose -6*u - 7*u = -91. Suppose -2*o + 4 = -6. Suppose o*i = 17 - 2. What is the remainder when u is divided by i? 1 Let y(l) = -l**2 - 9*l - 4. Let p be y(-8). Suppose 0 = -2*s - p*n + 50, 3*s + n - 61 = 2*n. Let q = 6 - -6. Calculate the remainder when s is divided by q. 9 Suppose 174 + 27 = 5*f - m, -2*f - 5*m + 75 = 0. Calculate the remainder when 277 is divided by f. 37 Let d = 394 + -360. Let g(t) = 4*t + 1. Calculate the remainder when d is divided by g(2). 7 Let c = 2 - 18. Let l = 39 + c. Calculate the remainder when l is divided by 12. 11 Suppose -2*u + 3*i = u, -4*u + 5*i = 0. Let w = -6 + 8. Let j = w - u. What is the remainder when 3 is divided by j? 1 Suppose 20*o - 240 = 12*o. Calculate the remainder when 55 is divided by o. 25 Let d = 59 - 24. What is the remainder when d is divided by 12? 11 Suppose 2 = -2*p + 28. Let m(o) = -o**3 + 5*o**2 + 3*o - 7. Suppose -3*w - 5 = -4*w. Calculate the remainder when p is divided by m(w). 5 Let u(x) = -2*x - 10. Let z be u(-7). Suppose 5*l = z + 6. What is the remainder when l + (23 - (1 - 1)) is divided by 9? 7 Suppose 4*z = 10 + 38. Let j be (-148)/z + 1/3. What is the remainder when 42/(-4)*40/j is divided by 12? 11 Let p(b) = -2*b - 1. Let r be p(-2). Suppose 0 = r*j - 3, 0*h + j - 40 = -3*h. Suppose 4*d + 14 = 110. What is the remainder when d is divided by h? 11 Let z(c) = c**3 - c**2 + 3*c - 3. Let o be z(2). Let l(j) = j**2 - 2*j - 13. What is the remainder when l(o) is divided by 12? 10 Let r = 6 + -2. Suppose r*j - 3*c = -13, 7 = -4*j + c - 8. Let l = j - -13. What is the remainder when 17 is divided by l? 8 Let p(w) = -5*w - 1. Let f be p(-3). Suppose -16 = -2*c + f. What is the remainder when c is divided by 4? 3 Let c(p) = 5*p**2 - 2*p + 1. Let z(k) = 2*k - 7. Calculate the remainder when c(-2) is divided by z(8). 7 Suppose -2*d - 8 + 48 = 0. Suppose 2*o - 3*o - 3*c - 13 = 0, -5*o - 2*c - 65 = 0. Let h = o + 72. What is the remainder when h is divided by d? 19 Suppose 6 = -2*r - 2*y, -5*r + 2*y + 20 = -0*r. Let a(n) = -3 + 0*n + r*n + 1 + n**3. What is the remainder when a(2) is divided by 4? 2 Let r(w) = 6*w + 13. Let s be r(-10). Let u = s + 79. What is the remainder when 3/(u/(-35) + 1) is divided by 12? 11 Let g = 50 + -1. Let y = 45 + -32. What is the remainder when g is divided by y? 10 Suppose -2*b = -3*f + 221, 3*f - f + 2*b = 134. Calculate the remainder when f is divided by (2 - (1 + -2)) + 15. 17 Let t be (-10)/(-3) + 1/(-3). Suppose t*w = -5 - 7, -4*w = 2*o - 84. Let h = -34 + o. Calculate the remainder when 30 is divided by h. 14 Let q be -4 - 6*-1 - -1. Suppose 2*m - 62 = q*j, -2*m - 3*j = -6*m + 118. What is the remainder when m is divided by 10? 8 Suppose 0 = l - 62 + 17. What is the remainder when l is divided by 23? 22 Let x = 79 + -41. What is the remainder when 150 is divided by x? 36 Suppose 21 = -4*c + 105. Calculate the remainder when c is divided by 13. 8 Let m be 2*-1*(-4 - -2). Suppose 6*s = m*s + 66. What is the remainder when s is divided by 12? 9 Suppose 0 = -10*f + 14*f - 464. Suppose l + f = 5*l. Calculate the remainder when l is divided by 10. 9 Let q = -2 + 4. Suppose -6 = -4*h + q. Calculate the remainder when 2 is divided by h. 0 Suppose -5*f + 149 + 296 = 0. Suppose 0 = 5*a - 2*c - f, 6*a - 2*a = 3*c + 74. What is the remainder when a is divided by 88/14 - 4/14? 5 Let n(t) = 22*t**3 - 2*t**2 + 2. Calculate the remainder when n(1) is divided by 13. 9 Suppose -m - x + 17 = 3*m, 3*m = -5*x. Let t = m + -8. What is the remainder when 14 is divided by (-5)/t*(-5 - -8)? 4 Calculate the remainder when 35 is divided by (8 + -2)/(42/70). 5 Suppose 1 = 5*a - 4. Let g be (-1)/2 - a/2. Let w = 14 - g. What is the remainder when w is divided by 8? 7 Let w(q) = -6*q + q + 1 - 5*q. Suppose -6 = 8*u - 6*u. Calculate the remainder when w(u) is divided by 16. 15 Suppose 4*k - 50 - 6 = 0. Let x be 84/39 + (-4)/26. Suppose x = -5*t + 42. Calculate the remainder when k is divided by t. 6 Suppose 18*o + 277 - 835 = 0. What is the remainder when o is divided by 1 + 30/((-2)/(-1))? 15 Suppose -12 = -6*a + 3*a. Let x = 0 + a. Let w(j) = 16*j - 6. Calculate the remainder when w(x) is divided by 2
{ "pile_set_name": "DM Mathematics" }
et h(b) be the second derivative of -59*b**3/6 - 18*b**2 - 6*b. Let r(z) = 29*z + 18. Let s(o) = -3*h(o) - 7*r(o). What is the first derivative of s(l) wrt l? -26 Let y(n) = -25*n**4 - 13*n**3 + 307*n**2. Let l(a) = 13*a**4 + 8*a**3 - 153*a**2. Let c(f) = -7*l(f) - 4*y(f). Find the third derivative of c(s) wrt s. 216*s - 24 Let m(b) be the first derivative of 0*b - 16/5*b**5 + 0*b**4 + 0*b**3 - b**2 + 28. What is the second derivative of m(s) wrt s? -192*s**2 Let x(w) be the first derivative of 29*w**4/4 + 2*w**3/3 - 634*w - 17. What is the first derivative of x(h) wrt h? 87*h**2 + 4*h Let r(c) be the third derivative of c**7/420 - 19*c**4/24 - 4*c**3/3 - 3*c**2. Let k(b) be the first derivative of r(b). Differentiate k(w) with respect to w. 6*w**2 Find the second derivative of -9*o**2 - 9*o**2 - 28*o - 24*o + 4*o**2 + o**3 wrt o. 6*o - 28 Let x(n) be the third derivative of 0*n**6 + 0 + 0*n - 11/168*n**8 + 25*n**2 + 0*n**3 + 0*n**4 + 0*n**7 + 8/15*n**5. Find the third derivative of x(p) wrt p. -1320*p**2 Suppose -4*n + 4 = 0, q + n + 4*n = 2144. Find the second derivative of 28*d**4 - 6*d - 2139*d**3 - 8*d**4 + q*d**3 wrt d. 240*d**2 Let a(k) = -3*k**2 + 6. Let f be (-15 - -14) + -1*5. Let j(r) = -1. Let v(w) = f*j(w) - 3*a(w). Differentiate v(u) with respect to u. 18*u Let w(a) be the first derivative of 0*a**3 + 15/2*a**2 - 4 + 0*a + 3/2*a**4. What is the second derivative of w(y) wrt y? 36*y Let s(f) = -894*f**3 - f**2 + 1563. Let n(c) = 223*c**3 - 391. Let r(k) = -9*n(k) - 2*s(k). Find the first derivative of r(j) wrt j. -657*j**2 + 4*j Let l(t) be the second derivative of 5*t + 0*t**3 - 7/30*t**6 + 0 + 0*t**2 + 0*t**5 + 7/12*t**4. Find the third derivative of l(b) wrt b. -168*b What is the second derivative of 83*a**2 - 184*a + 70*a**2 - 7*a**2 - 35*a**2 wrt a? 222 Let l(c) be the second derivative of -33*c**5/5 + 105*c**3/2 + 184*c - 1. What is the second derivative of l(m) wrt m? -792*m Let y(l) = 286*l**2 - 18*l + 12. Let g(q) = -286*q**2 + 17*q - 10. Let o(r) = -4*g(r) - 3*y(r). Find the second derivative of o(v) wrt v. 572 Suppose 0*q + 6 = q. Suppose -4*m - l - l = q, -m + 6 = -2*l. What is the first derivative of -6*w**3 + 2*w**3 + 4 + m*w**3 wrt w? -12*w**2 Let k(h) be the second derivative of -2/3*h**3 - 29/12*h**4 + 59*h + 0 - 3/2*h**2. Find the second derivative of k(j) wrt j. -58 Let a = 53 + -51. Find the third derivative of -14*v**a - 2*v**5 + 30*v**2 + 2*v**5 + 2*v**6 wrt v. 240*v**3 Let g be (1 + 5 - 0) + -2. Find the third derivative of 10*c**3 - 7*c**2 + 16*c**3 + 4*c**g - 26*c**3 wrt c. 96*c Let v(k) be the first derivative of -14*k**4 - 31*k**3/3 + 28. What is the third derivative of v(m) wrt m? -336 Suppose -8*c = -0*c - 72. What is the second derivative of 5 + 4 - c + 3*i**3 - 23*i wrt i? 18*i Suppose -9*r = -10*r + 3. Find the third derivative of 23*m**2 + r*m**3 + 1188*m**4 - 3*m**3 - 1156*m**4 wrt m. 768*m Let m(f) = -2515*f**2 + 18*f + 2420. Let w(r) = -629*r**2 + 4*r + 604. Let s(y) = -2*m(y) + 9*w(y). What is the first derivative of s(d) wrt d? -1262*d Find the second derivative of 20*v**5 + v**3 + 42*v + v**3 - 719 + v**3 + 719 wrt v. 400*v**3 + 18*v Let p(v) = -v**3 + v + 3. Let d(a) = a**2 - 9*a - 10. Let j be d(10). Let r be p(j). Find the third derivative of h**3 - 4*h**2 - 3*h**r + 0*h**2 + h**3 wrt h. -6 Let b(k) be the first derivative of -k**6/2 - 4*k**5/5 + k**2/2 + 134*k - 311. Find the second derivative of b(g) wrt g. -60*g**3 - 48*g**2 Let b be -2*2*(-74)/8. Suppose 12 = b*y - 34*y. What is the derivative of -13*t**4 - 6*t**4 + 24*t**y - 9 wrt t? 20*t**3 Let s(y) be the third derivative of y**8/4032 + y**7/840 + y**5/60 - y**2. Let v(h) be the third derivative of s(h). Find the second derivative of v(f) wrt f. 10 Find the third derivative of -73*d**2 - 159*d**2 + 46*d**6 - 228*d**2 wrt d. 5520*d**3 Let c(h) be the third derivative of 0*h + 0*h**4 + 0*h**6 + 0*h**7 + 0*h**3 + 0 - 1/10*h**5 + 14*h**2 + 19/336*h**8. Find the third derivative of c(a) wrt a. 1140*a**2 Find the first derivative of 10*c + 6*c - 2*c**2 + 2*c - 78 + 0*c**2 wrt c. -4*c + 18 Let u(q) be the third derivative of 17*q**7/210 + 13*q**5/60 - q**3/6 - q**2 - 28. Find the third derivative of u(z) wrt z. 408*z Let r(y) = -148*y**3 - 3*y**2 + 114*y - 1. Let u(n) = -446*n**3 - 8*n**2 + 340*n - 3. Let m(d) = -8*r(d) + 3*u(d). Find the second derivative of m(v) wrt v. -924*v Let v(h) = -191*h**3 + 229*h**2 + 64*h + 4. Let f(y) = -190*y**3 + 228*y**2 + 80*y + 5. Let g(q) = 4*f(q) - 5*v(q). Find the third derivative of g(a) wrt a. 1170 Let h(f) be the second derivative of 0*f**4 + 0 + 0*f**5 + 0*f**3 + 33*f + 1/5*f**6 - 15/2*f**2. What is the first derivative of h(u) wrt u? 24*u**3 Let x be -4*1/(-8)*6. What is the third derivative of -39*t**2 + 14*t**2 + 22*t**x + 13*t**3 wrt t? 210 Let d(g) = -844*g**3 - 4*g**2 - 5*g - 69. Let p(v) = -845*v**3 - 5*v**2 - 6*v - 70. Let z(m) = 5*d(m) - 4*p(m). What is the second derivative of z(x) wrt x? -5040*x Let p(n) = -4*n + 6*n - 1 - n + n**3. Suppose 0 = -4*b - 8. Let q(s) = s**3 + 1. Let d(j) = b*q(j) - 2*p(j). What is the second derivative of d(k) wrt k? -24*k Let b(z) = -2*z**3 + z**2 - 1. Let x be b(-1). What is the derivative of -23 + 65 - 18*l**x - 22 wrt l? -36*l Find the first derivative of 3 + 40*l - 7 - 12 + 0 wrt l. 40 Let b(k) be the first derivative of 0*k**4 + k - 49 + 56/5*k**5 + 0*k**3 + 3/2*k**2. Find the second derivative of b(i) wrt i. 672*i**2 Let u(v) be the second derivative of -v**6/3 - v**5/10 + 23*v**4/4 - 2*v + 16. What is the third derivative of u(o) wrt o? -240*o - 12 Find the third derivative of -10 + 5 + 4*f**2 - 2*f**4 - 9*f**6 + 2 + 9*f**4 wrt f. -1080*f**3 + 168*f Let g(j) be the third derivative of -j**5/60 + 17*j**4/24 + 70*j**3/3 + 264*j**2. Differentiate g(s) wrt s. -2*s + 17 Let v(n) be the second derivative of -287*n**3/6 - 565*n**2/2 - 380*n. Differentiate v(s) with respect to s. -287 Let g(q) be the second derivative of -67*q**8/56 - 3*q**5/20 + 23*q**4/3 - q**3/6 + q + 391. Find the third derivative of g(y) wrt y. -8040*y**3 - 18 Let y(k) be the third derivative of -2*k**7/105 + k**6/30 - 13*k**5/12 + k**2 - 4*k. Find the third derivative of y(b) wrt b. -96*b + 24 Let p(u) = 830*u**2 + 1276*u - 51. Let z(n) = 276*n**2 + 425*n - 18. Let d(c) = -6*p(c) + 17*z(c). Find the second derivative of d(j) wrt j. -576 Let l = 11 - 7. Let p(s) = 3*s**2 + 3*s. Let z be p(2). What is the derivative of 4*v**4 - 2*v**l + 18*v**2 - z*v**2 - 10 wrt v? 8*v**3 Let v = 14 + -10. Suppose 4*z - v*p - 36 = 0, z - p - 23 = -2*z. Find the third derivative of i**2 + 205*i**4 - 201*i**4 - z*i**2 wrt i. 96*i Let m be (1424/(-3))/((-8)/24). What is the second derivative of -m + 18*k**2 + 1424 + 3*k wrt k? 36 Suppose 51 - 15 = 9*c. Let t(l) be the second derivative of 0*l**2 + 0*l**3 + 6*l + 0 + 1/6*l**6 + 0*l**5 - 1/12*l**c. Find the third derivative of t(w) wrt w. 120*w Let q(k) be the second derivative of -49*k**3/6 - 37*k**2/2 + k - 1. What is the derivative of q(s) wrt s? -49 Let y(w) be the third derivative of -129*w**5/20 + 211*w**3/2 + 7*w**2 - 13*w. Differentiate y(b) wrt b. -774*b Find the third derivative of w**2 - 13*w**2 - 4*w + 0*w**2 - 2*w**6 + 7*w wrt w. -240*w**3 What is the second derivative of -1331*y**2 - 6 - y**3 + 0*y + 2*y + 1254*y**2 - 12 wrt y? -6*y - 154 Find the second derivative of -11*i**2 - 10*i + 24*i + 4*i wrt i. -22 Differentiate -67 - 39*p - 5*p + 12*p - 28*p with respect to p. -60 What is the second derivative of 2*m**4 + 23*m**3 + 3*m**3 - 105*m - 4*m**3 + 74*m + 13*m**3 wrt m? 24*m**2 + 210*m Let g be 4 + (12/3)/4. Suppose g*c = 8 + 7. What is the third derivative of 12*a**6 + 8*a**2 + 7*a**2 - 5*a**2 - c*a**6 wrt a? 1080*a**3 Let c(j) be the second derivative of -11*j**7/2520 + 17*j**5/120 - 7*j**4/4 - 17*j. Let o(s) be the third derivative of c(s). Differentiate o(h) wrt h. -22*h What is the third derivative of 14 - 14 + 85*o**4 + 3*o**2 + 0 - 14*o wrt o? 2040*o Let g(t) = 29*t**3 - 2*t**2 - 38*t + 1. Let r(n) = -85*n**3 + 6*n**2 + 114*n - 3. Let a(w) = -17*g(w) - 6*r(w). What is the second derivative of a(z) wrt z? 102*z - 4 Let t(a) = -4*a**3 - 6*a + 5. Let z = 47 + -41. Let g(r) = 4*r**3 + 7*r - 4. Let d(c) = z*g(c) + 7*t(c). Find the first
{ "pile_set_name": "DM Mathematics" }
on multiple of 12 and z. 24 Let j be (-241851)/90*(4 - 1). Let g = j - -8052. Find the common denominator of -23/10 and g. 10 Let l(p) = -5*p**3 - p**2 + p + 1. Let q be l(-1). Suppose q*i + 95 = -i. What is the lowest common multiple of (1 - i)*4/8 and 18? 90 Let n(c) = -2*c**2 - 5*c - 3. Let s be n(-3). Let l = s + 2. What is the least common multiple of (11/l)/(2/(-16)) and 6? 66 Let t be (-12)/(2 - -2) - -2. What is the common denominator of (-335)/(-20) + 0/t and 127/18? 36 Let p = 129111/16 - 8064. What is the common denominator of p and -133/6? 48 Let i = 97/3 + -102629/3174. Let m be ((10/(-276))/5)/((-23)/(-25918)). Let w = m + i. Calculate the common denominator of 20/3 and w. 6 Let a = 318977/456 - 1399/2. Let y = 223/26832 + -4980455/509808. Let r = y + a. Find the common denominator of 77/10 and r. 20 What is the common denominator of -50/9 and (924/40)/(-7) + -1? 90 Let o = -2167 + 595. Let l = -7836/5 - o. Find the common denominator of 1/8 and l. 40 What is the smallest common multiple of 57/4 + (-12)/48 and 44? 308 Let z = -984 - -10831/11. What is the common denominator of 87/20 and z? 220 Let t = -28 - -47. Suppose -t = -3*z + 17. What is the lowest common multiple of (z/15)/(3/15) and 2? 4 Suppose 26 = 3*s - h, 8 = 2*s - h - 2*h. What is the least common multiple of 6 and s? 30 Let q = -1/7937 - 944479/190488. What is the common denominator of (17/(-170))/(2*(-2)/246) and q? 120 Suppose 32 = 4*m - 3*m. Suppose 0 = 4*n - 0*n - m. Suppose 3*r - 4*c + 1 = 0, -5 = -r + 4*c - n*c. What is the least common multiple of 7 and r? 7 Let l = 512/6437 - 1/157. Let m = l + 117/82. What is the common denominator of -45/2 and m? 2 Let m = 1956237/50 + -39126. Find the common denominator of 91/18 and m. 450 What is the common denominator of ((-1)/18*236)/(14/(-3)) and -55/21? 21 Let f(m) = m**3 + 5*m**2 - 6*m + 2. Let o be f(-6). Suppose 5 = -h + o. Let w(v) = v**3 + 3*v**2 - 3*v - 4. What is the least common multiple of 11 and w(h)? 55 Let a(v) = -3*v**2 + 5*v**2 + v - v**3 - 4 - 3*v**2. What is the least common multiple of -2 + (-55)/(-2 - 3) and a(-3)? 99 Suppose 0 = 4*k + i + 11, -5*k + k - 1 = 3*i. Calculate the smallest common multiple of 18 and (-3)/(-3) + k + 25. 198 Let z be 16163/168*(-4)/(-26). Let b = z + -2/39. What is the common denominator of (-3)/12 + (-458)/(-24) and b? 12 Let g be (-3)/(-9) + 56/12. What is the common denominator of 45/11 and 15/(-5) - 37/g? 55 Let w = -2 - -24. Let a(t) = -t + 22. What is the lowest common multiple of a(8) and w? 154 Let z = -245/6 - -39. What is the common denominator of 59/2 and z? 6 Calculate the smallest common multiple of 8 and 3/(-2) + 1 - 111/(-6). 72 Let z be (2/4)/((-1)/(-14)). What is the least common multiple of 20 and z + -4 + 1 - 0? 20 Let r be 1*(2 + 0) - -25. Suppose -3*o + f - r = -6*o, -16 = -o + 2*f. Suppose 70 = 10*j - 50. What is the smallest common multiple of o and j? 60 Let v(y) = -3*y - 17. What is the lowest common multiple of 5 and v(-8)? 35 Let x = 18 + -14. What is the common denominator of -40/9 and (-178)/x*1 - -1? 18 Let v(r) = 4*r**2 + r - 1. Let j be v(1). Let u = 9 - j. Suppose u*c - 2*c - 76 = -4*z, 3*z = 3*c + 36. What is the least common multiple of z and 18? 144 Let i(k) = -2 + 4*k + k + 0*k - 2. Let p(w) = -10*w + 7. Let y(h) = 5*i(h) + 2*p(h). Calculate the smallest common multiple of 16 and y(4). 112 Let c = -7 + 21. Suppose -3*n - c = 1. Let b(w) = -w**3 - 6*w**2 - 7*w - 3. What is the least common multiple of 11 and b(n)? 77 Suppose -t - 3 + 11 = 0. What is the smallest common multiple of 6 and t? 24 Suppose -n + 14 = 2. What is the smallest common multiple of 12 and n? 12 Let q = -17 + 2. Calculate the common denominator of q and -3 - 259/(-70) - (5 - 1). 10 Suppose -3*v - 8 = -h, 0*h + 72 = 3*h + 3*v. What is the smallest common multiple of 22 and h? 220 Let b = 617 - 12293/20. Let i = -5 - -3. Find the common denominator of b and i + 4 - 93/(-10). 20 What is the common denominator of -35/4 and (582/30)/(4/(-10))? 4 Let p(s) = 8*s - 3. Let w be p(5). Suppose 3*y + 10 - w = 0. What is the smallest common multiple of y and 8? 72 Let u = 160449/3496 + -4321/152. Let n = -3/2806 - -189/5612. Let q = n + u. Calculate the common denominator of q and -47/3. 6 Suppose -5*t + 26 = -0*t + 4*m, -4*m - 4 = 0. What is the smallest common multiple of 5 and t? 30 Suppose 2*i + 3*i + 95 = 0. Let d = -12 - i. Calculate the least common multiple of 11 and d. 77 Let d be -3 + (1315132/(-142560))/7. Let t be (-4)/(-6) - (-4318)/(-6480). Let i = d - t. What is the common denominator of -53/18 and i? 198 Let v = 18084/13 + -1392. What is the common denominator of v and -151/6? 78 Let w = 7 - -1. What is the least common multiple of 6 and w? 24 Let s(g) = -g. Let p be s(-3). Let v = -349/90 - -13/30. Find the common denominator of v and ((-13)/4)/(2/p). 72 Let t = 8019789/902 - 607/451. Let g = t + -8888. Calculate the common denominator of -101/4 and g. 44 Let w = 19 - 29. Let s(d) = -d**2 - 11*d - 6. Calculate the least common multiple of s(w) and 2. 4 Suppose -3*g - 2*r + 20 = 0, 5*g + 3*r - 36 = r. Calculate the lowest common multiple of g and 1. 8 Let j be 20 + 5 + -3 - 0. Suppose -2*r = -4*r + j. Let q = -9 + r. What is the lowest common multiple of 6 and q? 6 Let i = -21 - -35. Suppose 0 = -s + d + 6, 5*s + 2*d = -d + i. Calculate the smallest common multiple of 6 and s. 12 Let t(i) = 0*i**2 + 3*i - 7*i - i**2. Let r be t(-3). Let q(x) = 2*x. What is the least common multiple of q(r) and 4? 12 Suppose 3*h - 8*h = -12330. Let j = h + -9789/4. What is the common denominator of -77/4 and j? 4 What is the common denominator of (-44)/18 + (5 - 5) and 16? 9 Suppose 21 = 4*g - 31. Let l = g + -5. What is the smallest common multiple of l and 7? 56 Calculate the common denominator of (21/140)/((-3)/122) and -10/11. 110 Let r = 37 - 19. Suppose 0 = -4*l + 6 + 2. Calculate the least common multiple of l and r. 18 Let z be (-2)/((-3)/((-6)/(-4))). What is the smallest common multiple of 11 and ((-16)/(-2) - -1)/z? 99 Let r be ((-68)/(-16) - 0)*8. Let t = r - 23. What is the least common multiple of 11 and t? 11 What is the lowest common multiple of -3 + 6*16/12 and 9? 45 Find the common denominator of 7/3 and 1/(-1) - 41/3. 3 Suppose 0*r + 24 = 4*r. Suppose -4*w + 2*j + 8 = 0, -6 + 0 = -3*w - 3*j. Calculate the least common multiple of w and r. 6 Let j be (58/(-8))/(3/(-4)). Let y = j + -527/30. What is the common denominator of (-132)/(-4)*7/(-18) and y? 30 Let u(w) = w + 2. What is the lowest common multiple of u(4) and 7? 42 Suppose -4*j = -3*a - 36, -2*j + 45 = 3*j + 3*a. What is the smallest common multiple of j and 7? 63 Let s(r) = -8 - r + 0*r + r**2 + 5*r - 2*r. Calculate the smallest common multiple of 10 and s(4). 80 Let v = -31445/9 - -3488. Let d = 4 - 3. Calculate the common denominator of d + -25*1/(-1) and v. 9 Let q be (-2)/1*(-8)/4. Suppose -q*z - 22 = 38. Let u = -8 - z. Calculate the smallest common multiple of 8 and u. 56 Let p = -13428691344152 + 46718417658558181/3479. Let n = p + -135744. Let t = n - -170498/31311. Calculate the common denominator of t and 37/2. 18 Suppose 179 = -3*m + 2*u, 3*m - 27 = -4*u - 236. Calculate the common denominator of m/10 + 6 + -9 and -37/8. 40 What is the common denominator of 31/(-39) + (-20)/30 and 87/8? 104 Let q be 1*-4*1/(-1). Suppose -2*j = 2*r - 2, 0*r = 3*r - q*j - 31. Suppose -38*u + 37*u = -4. Calculate the smallest common multiple of r and u. 20 Let v(y) = -y**3 - y**2 - 2. Let n = 2 - -5. What is the smallest common multiple of n and v(-2)? 14 Suppose -5*f + 3742 = -8778. Let a = -19973/8 + f. Calculate the common denominator of a and -39/20. 40 Let z be (-519)/(-30) - 1/(-2). Let x = 28/781 - -461011/15620. Let t = z - x. Find the common denominator of 49/6 and t. 12 Let d(q) be the second derivative of -q**3/2 - q**2/2 + 22*q. Let o be -1 + (-4)/2*1. What is the lowest common multiple of d(o) and 2? 8 Calculate the common denominator of 93/(-36) - 2/8 and (-1)/(-3) + 870/108. 18 Let q = -1 - -4. Suppose -3 - 6 = -q*z. Let h = 2 + 0. Calculate the least common multiple of h and z. 6 What is the smallest common multiple of 47 and (16/(-2))/(-27 + 26)? 376 Suppose 5*i = -5, 2*n + 3*n + 2*i - 118 = 0
{ "pile_set_name": "DM Mathematics" }
s the biggest value in 138/7, 74, 22, -48? 74 Which is the third biggest value? (a) 0.7 (b) 74525/6 (c) -12/5 c Which is the second biggest value? (a) 1.47 (b) -0.2 (c) -40 (d) -310 (e) 1 (f) 4 (g) -2/23 a What is the biggest value in -1/4, 0.039, -2568, 0.1? 0.1 Which is the third smallest value? (a) -5 (b) 0.2 (c) -1/2 (d) 1/3 (e) -4 (f) 11320 c Which is the second biggest value? (a) 1017/7 (b) -24/565 (c) 0.1 c What is the fifth biggest value in -4680, 0.07, 3, 2, -0.06493? -4680 Which is the fourth smallest value? (a) 0 (b) 0.12 (c) 0.5 (d) 0.3 (e) 0.6 (f) 101.8 c What is the second biggest value in -499, 1, 4, -2/75, 5, 0.4? 4 What is the third biggest value in 3852, 1/6, -0.02, -1, -0.5? -0.02 Which is the second biggest value? (a) -3/112907 (b) 0.4 (c) -0.5 (d) -11 (e) 5/4 b What is the biggest value in -1, 1/13, -0.4, -49830? 1/13 Which is the biggest value? (a) 2/9 (b) 1 (c) 225 (d) -78 c Which is the second biggest value? (a) -5 (b) -309 (c) 2/9 (d) -0.5 (e) -1 (f) 1/3 c Which is the fourth smallest value? (a) 0.23 (b) 8 (c) 2/11 (d) 50 (e) -206 (f) -2 a Which is the fourth smallest value? (a) 3/7 (b) 10 (c) -5 (d) 13 (e) -982 b Which is the fifth biggest value? (a) -1 (b) 175/3 (c) -206 (d) -4 (e) 1/2 c What is the biggest value in -6.2, 15/7, 0, 0.02, 6025? 6025 Which is the fourth smallest value? (a) -3 (b) 0.4 (c) -68387 (d) 15 (e) -1 b What is the smallest value in -1.5, 5, -1/3, -3/5, 0.1, 2/7, -29.456? -29.456 What is the third biggest value in 3/5, 30/11, -1, -0.3, -4571? -0.3 Which is the biggest value? (a) -2 (b) 0.24 (c) -0.1 (d) 0.4 (e) 5 (f) 3/32 (g) -10 e Which is the second smallest value? (a) 0.3 (b) 1/6 (c) -0.0063163 (d) -4 (e) -5 (f) -2/7 d What is the second biggest value in 1, -1, -9372, -5, -5/13? -5/13 What is the third smallest value in 1/3, 10268, 1/4, -11417? 1/3 Which is the biggest value? (a) 4/3 (b) 0.03 (c) -6/13 (d) -0.23 (e) 6/17 a What is the fourth smallest value in 79695/4, 1/29, -14/3, 0.5? 79695/4 Which is the second smallest value? (a) 1/7 (b) 0.2 (c) -0.2 (d) -42 (e) -1/13 c Which is the fourth smallest value? (a) 13.2 (b) 222 (c) 1/3 (d) 0.03 b Which is the fifth smallest value? (a) 3 (b) -0.14 (c) -0.9 (d) -65/4 (e) 2 (f) 2/3 (g) -0.3 f Which is the third biggest value? (a) -33896 (b) -5 (c) -30 (d) 0.3 c What is the fifth biggest value in 1, -2/9, -0.3, 2/5, 9/412, 4, -4? -2/9 Which is the second smallest value? (a) -4.15109 (b) 2/7 (c) 5 (d) -1/5 d What is the biggest value in 4, -2/3, -2/719, 2, 0.3, -0.6? 4 Which is the second smallest value? (a) 2/5 (b) -4 (c) -2/3 (d) 2 (e) -0.3 (f) 1258825 c Which is the fifth smallest value? (a) -3.2 (b) 0.2 (c) -0.1 (d) -1/4 (e) 4 (f) 32 e What is the biggest value in 67, 4, -1/24, 166? 166 What is the fifth smallest value in -12, -0.1, -0.079, 0.5, 1/32? 0.5 What is the sixth smallest value in 19, -2/31, 5/3, 0, 0.04, -5/6? 19 What is the fourth smallest value in -1045/3, 2/9, 6, 0, 3/4? 3/4 Which is the smallest value? (a) -21/29 (b) -5/2 (c) -0.1 (d) -19804 (e) -1/2 d What is the biggest value in 113202, 4, -16? 113202 Which is the fourth smallest value? (a) 313 (b) 3 (c) -249 (d) 0.06 (e) -2 b What is the third smallest value in -2/43, -203, 940, -2/5, -1/2? -2/5 What is the smallest value in 0, 2, 49.779, -14? -14 What is the second biggest value in 12, -4293, 2/5? 2/5 What is the fourth smallest value in -1, -1/3, 0.1, -348, -0.2, 345.49? -0.2 Which is the smallest value? (a) -1 (b) -1.95 (c) 67/51 (d) -0.3 b What is the third biggest value in -2, 0.02, 4261, 6, -2/5, 5/4? 5/4 What is the biggest value in -1, -1/5, -29756858? -1/5 Which is the smallest value? (a) 1/5829 (b) -24 (c) 1/4 (d) -5 (e) -4/5 (f) -2 b What is the second smallest value in -2, -8013551, 14? -2 Which is the biggest value? (a) 382 (b) 18/35 (c) 6/11 (d) 0 a What is the fourth smallest value in 0.3, -1/4, -3, 0, 37/1334, -5.4? 0 What is the third smallest value in 1/2, 11, 200/39, -8, 0.09? 1/2 What is the third biggest value in -125347, 0, -2/7? -125347 What is the third smallest value in -1/39, 1/3, -1, -26, -3, 20/29, 2? -1 Which is the second biggest value? (a) 1/3 (b) 1/5 (c) 2/33 (d) -662 (e) -1/2 (f) -5 b What is the second smallest value in -3, 1/2, 1/4, 5, 0.42, 4/3, 3/7? 1/4 What is the smallest value in 2/23, 90, -333, 17? -333 Which is the sixth smallest value? (a) -0.3 (b) -3/2 (c) -9 (d) 3 (e) -0.9 (f) 20 (g) -107.9 d What is the smallest value in 193, 1, -3, 2/5, -0.5, 31, 2? -3 Which is the second smallest value? (a) 0 (b) 0.16 (c) 1 (d) 440 (e) -0.1 a What is the smallest value in -16, 37, 3661? -16 Which is the fifth smallest value? (a) -3 (b) 5.1 (c) 9 (d) 1/4 (e) -3/2 (f) 527 c Which is the biggest value? (a) -1 (b) 3 (c) 0.32 (d) 1/39 (e) -1/2 (f) 4/7 b What is the second biggest value in -43.1, -1/3, -425, 3/4, 3, 1/4? 3/4 What is the sixth smallest value in 26, 4/3, 4, -0.1, -142/19, -3/2? 26 What is the third biggest value in 0.4, 4, -55/3, -6, -192? -6 Which is the fifth biggest value? (a) 33.1 (b) 3/8 (c) -1/5 (d) 0 (e) 13 (f) 4/3 d What is the third biggest value in 703, -2700, -0.5? -2700 Which is the third smallest value? (a) 450.2 (b) -2/3 (c) -0.04 (d) 3 (e) 0.2 (f) 0.4 (g) -1 c Which is the fifth smallest value? (a) -1 (b) 0.1 (c) -9 (d) -1050 (e) -1/8 b What is the biggest value in 2/11, 5, -27/7, 1, -1, -0.486, -4? 5 What is the biggest value in 265, 4, -5, 119, -2/19? 265 Which is the third smallest value? (a) 0.1 (b) -277278 (c) -7/16 a Which is the third biggest value? (a) -41 (b) -2 (c) -2/5 (d) 1/3 (e) -3.568 b Which is the smallest value? (a) 0 (b) -45818 (c) -400 b What is the biggest value in -16, -92, 323, -6? 323 Which is the fifth biggest value? (a) 2 (b) -5/3 (c) 67841 (d) 24 (e) 5 b What is the third smallest value in 461, 1507, 392? 1507 Which is the biggest value? (a) -4 (b) -0.94 (c) 480 (d) -0.2 (e) -6 (f) -2 (g) -9 c Which is the fourth smallest value? (a) 1/4 (b) 361/150 (c) 0.04 (d) 1 b What is the fourth biggest value in -1/8, 4, -2/15, -3, 884, 102/11? -1/8 Which is the fourth smallest value? (a) 0.2 (b) -0.07 (c) -7 (d) -0.28 (e) 0 (f) -1.6 (g) 0.3 b Which is the third biggest value? (a) -2/3 (b) -30 (c) 0.1 (d) 1/155865 (e) -0.4 e What is the second smallest value in 482, -17, 161/3, 5? 5 What is the third biggest value in -51, -9163/2, -0.4? -9163/2 Which is the third biggest value? (a) 2/143 (b) 0.017 (c) 146.9 a What is the fourth biggest value in -1/52, -31, -0.2, -4/3, 0? -4/3 Which is the fourth smallest value? (a) 3.6 (b) 2024 (c) -4 (d) -96.9 b What is the fourth smallest value in 2, 5.8, 0, 3, -0.08, -2/13, -1.5? 0 What is the second biggest value in -822, 2/13, -149, 0.2, -0.4, 2/9, -3? 0.2 Which is the third smallest value? (a) 1.25 (b) 0.4 (c) 26400 c What is the second biggest value in -15, -0.03, -0.1, 0.039, -3, 0.1, -0.5? 0.039 What is the seventh smallest value in -2/17, 1/2, 0.3, -1, 0.14, -2/19, 1/11? 1/2 Which is the biggest value? (a) -204 (b) -0.5 (c) 982 (d) 30/13 c What is the third smallest value in -118594, -2/5, 0.4? 0.4 What is the second smallest value in -9/1531, 33, 0.3? 0.3 Which is the third smallest value? (a) -14439027 (b) 1/2 (c) 0.3 b Which is the second biggest value? (a) 41/341 (b) -0.5 (c) 31 a What is the second biggest value in 0.3, -347/239, 6? 0.3 Which is the fourth smallest value? (a) 0 (b) -345 (c) -14 (d) 2/7 d What is the third biggest value in -3, -0.2, -1/3, -2, 1083? -1/3 Which is the fourth smallest value? (a) -0.3 (b) -2/21 (c) -0.2 (d) 5 (e) 1 (f) 5.2 (g) 130 e Which is the biggest value? (a) -39 (b) -3/136 (c) -55 (d) 2/15 (e) -5/4 d What is the second smallest value in -4.6, -973, 0.5, -134, 8, 1? -134 Which is the smallest value? (a) 25692066 (b) -0.3 (c) 1/4 b What is the fifth smallest value in -2, 7.6, -3, 250, 5/2, 0.02, -0.3? 5/2 What is the third biggest value in 2, -1412.5, -6/221, -1? -1 What is the second smallest value in -0.005, 139, -3/2, -1/5, 1? -1/5 Which is the second biggest valu
{ "pile_set_name": "DM Mathematics" }
What comes next: -5369, -24267, -55761, -99851? -156537 What is the next term in 574559, 4596429, 15512935, 36771395, 71819127, 124103449, 197071679? 294171135 What comes next: 657, 1335, 2039, 2775, 3549, 4367, 5235, 6159? 7145 What is the next term in 183, 1683, 5843, 14007, 27519? 47723 What is the next term in -57271, -57303, -57393, -57571, -57867? -58311 What is next in -754, -1484, -2236, -3016, -3830, -4684, -5584? -6536 What is next in -100744, -100784, -100824, -100864, -100904? -100944 What is next in -1571548, -1571529, -1571510, -1571491? -1571472 What comes next: 3907809, 3907796, 3907783? 3907770 What comes next: 27844, 55744, 83646, 111550, 139456, 167364, 195274? 223186 What is next in -2512, -3950, -4990, -5632, -5876, -5722? -5170 What is next in 42444, 87246, 132024, 176772, 221484, 266154? 310776 What comes next: -17346, -138494, -467340, -1107738, -2163542, -3738606, -5936784? -8861930 What is next in -16490, -65712, -147670, -262370, -409818, -590020? -802982 What comes next: -11119, -22402, -33843, -45436, -57175, -69054, -81067? -93208 What is the next term in -610770, -1221552, -1832334, -2443116, -3053898, -3664680? -4275462 What is the next term in -1912605, -1913061, -1913517, -1913973? -1914429 What is the next term in -4819, -12543, -20269, -27997? -35727 What is next in -2413, -4019, -5603, -7153, -8657? -10103 What is next in 23807, 101257, 230341, 411059? 643411 What is the next term in 16, -663, -1496, -2561, -3936, -5699? -7928 What is the next term in 6363, 9611, 12859, 16107? 19355 What comes next: 33951, 68013, 102077, 136143, 170211, 204281, 238353? 272427 What comes next: 1891, 14287, 47717, 112699, 219751, 379391? 602137 What is next in -2448, -5220, -7974, -10704, -13404, -16068, -18690, -21264? -23784 What comes next: 27311, 27148, 26877, 26498, 26011? 25416 What comes next: 395141, 1579552, 3553233, 6316184? 9868405 What is the next term in 1087, 7875, 26119, 61549, 119895, 206887, 328255? 489729 What comes next: -543, -4214, -14179, -33588, -65591? -113338 What comes next: 393, 810, 2157, 4968, 9777, 17118? 27525 What is next in -5348, -10663, -16010, -21407, -26872, -32423, -38078, -43855? -49772 What is next in -371046, -742091, -1113136, -1484181, -1855226, -2226271? -2597316 What comes next: 5081852, 5081864, 5081884, 5081912, 5081948, 5081992, 5082044? 5082104 What comes next: 4815, 19892, 45047, 80274, 125567, 180920, 246327, 321782? 407279 What comes next: -41545, -332471, -1122145, -2659939, -5195225, -8977375? -14255761 What comes next: -10, 302, 828, 1562, 2498, 3630? 4952 What is next in 315273, 630541, 945809? 1261077 What comes next: 11031, 22484, 34363, 46674, 59423? 72616 What is next in -2951612, -2951600, -2951574, -2951528, -2951456, -2951352, -2951210? -2951024 What is the next term in 726242536, 726242537, 726242538, 726242539, 726242540, 726242541? 726242542 What is the next term in -976, -2036, -3120, -4228, -5360? -6516 What comes next: -6975393, -6975390, -6975387, -6975384, -6975381? -6975378 What comes next: 272238238, 544476476, 816714714, 1088952952, 1361191190, 1633429428? 1905667666 What is the next term in 2822, 11344, 25544, 45422? 70978 What is next in -255159, -510311, -765455, -1020591, -1275719? -1530839 What is next in 1614, 3235, 4852, 6465, 8074? 9679 What is next in -79616967, -79616973, -79616983, -79616997, -79617015? -79617037 What comes next: 3856, -29771, -85818, -164285, -265172? -388479 What is next in -28627, -55550, -79077, -97510, -109151? -112302 What is next in -93897756, -375591030, -845079820, -1502364126, -2347443948, -3380319286? -4600990140 What is the next term in -68135, -67571, -66995, -66401, -65783, -65135, -64451? -63725 What comes next: 61004, 60849, 60692, 60533, 60372? 60209 What comes next: -13643, -27125, -40259, -52871, -64787, -75833? -85835 What is next in 2249, 1830, 1149, 218, -951, -2346, -3955? -5766 What comes next: 116997315, 116997318, 116997321, 116997324, 116997327? 116997330 What is next in 450385712, 900771424, 1351157138, 1801542854, 2251928572, 2702314292, 3152700014? 3603085738 What comes next: -75805, -75905, -76005, -76105? -76205 What comes next: -1879744, -1879563, -1879382, -1879201, -1879020, -1878839? -1878658 What comes next: -8714711, -8714710, -8714709, -8714708, -8714707, -8714706? -8714705 What comes next: 2460, 2490, 2548, 2640, 2772, 2950, 3180? 3468 What is the next term in -65916364, -131832736, -197749108? -263665480 What is the next term in 1998, 7892, 17606, 31134, 48470? 69608 What comes next: 10334, 6201, -704, -10393, -22878, -38171, -56284, -77229? -101018 What comes next: 311512, 1246075, 2803688, 4984351, 7788064, 11214827? 15264640 What is next in -971, -739, -133, 1033, 2945, 5789, 9751? 15017 What is next in 790998, 790896, 790798, 790704, 790614, 790528, 790446? 790368 What comes next: 1389, 2861, 4415, 6051, 7769, 9569, 11451? 13415 What comes next: -2937, 3728, 14829, 30366? 50339 What is next in 11013, 9912, 8811? 7710 What comes next: -219955, -219895, -219835, -219775, -219715? -219655 What is the next term in -902, -3116, -6808, -11978, -18626, -26752, -36356? -47438 What comes next: -849, -1631, -2511, -3537, -4757, -6219, -7971, -10061? -12537 What is next in -16403, -65648, -147729, -262646, -410399, -590988, -804413? -1050674 What comes next: -5037605, -5037604, -5037601, -5037596? -5037589 What is next in -46621, -46673, -46763, -46891? -47057 What is next in -435105, -870268, -1305431? -1740594 What is next in 16992, 151550, 516786, 1228038, 2400644, 4149942? 6591270 What is the next term in 11641963, 11641965, 11641967, 11641969, 11641971, 11641973? 11641975 What is next in 119820, 119818, 119816? 119814 What is the next term in 1211556, 2423094, 3634612, 4846110, 6057588? 7269046 What comes next: 14073, 13759, 13445, 13131, 12817, 12503? 12189 What is next in -20105937, -80423753, -180953447, -321695019, -502648469, -723813797, -985191003? -1286780087 What comes next: 65437, 131229, 197375, 263875? 330729 What is next in -518, -1214, -1894, -2552, -3182, -3778? -4334 What comes next: -435824, -869913, -1304002? -1738091 What comes next: -13706, -27252, -40462, -53168, -65202? -76396 What is next in -16869242, -16869239, -16869236, -16869233? -16869230 What comes next: 181865, 181982, 182099, 182216, 182333, 182450? 182567 What is the next term in 64, 360, 840, 1546, 2520, 3804, 5440? 7470 What is the next term in -79555739, -79555738, -79555737, -79555736, -79555735, -79555734? -79555733 What is the next term in 162892, 162670, 162450, 162232, 162016, 161802, 161590? 161380 What is next in 47389, 47145, 46901? 46657 What is the next term in -270, -820, -1638, -2724? -4078 What comes next: -77629, -77648, -77639, -77596, -77513, -77384, -77203? -76964 What is the next term in 268, 803, 1632, 2707, 3980, 5403? 6928 What is the next term in 10795741, 10795748, 10795761, 10795780? 10795805 What is next in -43768, -348164, -1174380, -2783326, -5435912? -9393048 What is next in 17522, 14924, 12326, 9728? 7130 What is next in -876798, -876817, -876830, -876837? -876838 What comes next: 827, 2544, 7203, 16274, 31227, 53532, 84659, 126078? 179259 What is the next term in -15274, -15501, -15874, -16387, -17034, -17809? -18706 What is the next term in 879942, 879925, 879890, 879831, 879742, 879617? 879450 What is next in 45676, 91980, 138284, 184588, 230892? 277196 What is next in -41509, -41516, -41525, -41536, -41549, -41564? -41581 What comes next: -19136, -74925, -167378, -296501, -462300? -664781 What is next in -23589, -23380, -23181, -22992, -22813? -22644 What comes next: 37581, 37677, 37835, 38055, 38337, 38681, 39087? 39555 What is next in 88432, 89197, 89962, 90727? 91492 What is the next term in 5710, 5956, 6202, 6448, 6694, 6940? 7186 What is next in -218, -386, -636, -944, -1286, -1638, -1976? -2276 What is the next term in -2419044, -19352376, -65314272, -154819014, -302380884, -522514164, -829733136, -1238552082? -1763485284 What is the next term in 22425, 22316, 22209, 22104, 22001, 21900? 21801 What is next in 2573, 7763, 16411, 28517? 44081 What comes next: -108700, -434851, -978454, -1739509, -2718016, -3913975? -5327386 What is the next term in 224, 366, 51
{ "pile_set_name": "DM Mathematics" }
/(c**(-2/19)/c))))**22 assuming c is positive. c**(-16423/38) Simplify ((o*o**1*o*o)/(o**(-5/2)*o*o)*o/o**(-3/4)*o*(o**(1/4)/o)/o)**(2/27) assuming o is positive. o**(11/27) Simplify ((h/(h/(h*h**(-2/7)*h))*h*h**(6/7))/(h**8*h/h**(3/5)*h))**(-5/3) assuming h is positive. h**(68/7) Simplify ((p/p**(-1))**(-5/7)*(p*p*p**(-1/3))**(-10/3))**(-15/7) assuming p is positive. p**(2200/147) Simplify (((n/(n*n*n/(n*n**2/n*n*n)*n*n)*n)/n*((n/(n/n**(3/8)))/n)/n)**(-2/47))**(-36/5) assuming n is positive. n**(-117/235) Simplify ((t*(t**(1/2)*t)/t)/t)**(-33)/(t**6/t*t**5) assuming t is positive. t**(-53/2) Simplify (r/r**16)/r*r*r*(r*r**(-3/8)/r)/r*(r**1*r)**(-3/11) assuming r is positive. r**(-1401/88) Simplify (p/p**(-6)*p**(4/11)*p)/((p*p*p**(6/7)*p)/p*p*p**(-2/9)) assuming p is positive. p**(3277/693) Simplify (((j**(-3/2)/j*j)/j)/(j/(j/j**3)))/((j/(j**(-1/10)*j*j))/j**(-5)) assuming j is positive. j**(-48/5) Simplify ((q/(q*q**(-1/2)*q*q))/((q*q**(-6/11))/q))/(q*q/q**(4/15)*q*q*(q*q**(1/5))/q) assuming q is positive. q**(-1613/330) Simplify (p**(-1/2)*p)**42*(p**(-1/3))**(-18) assuming p is positive. p**27 Simplify (r*r**(1/2))**43/((r/(r*r**(1/13)))/r*r**8) assuming r is positive. r**(1497/26) Simplify a**(-1/50)/(a/(a/(a**(1/15)*a)))*(a/(a**(-16)*a))**(2/49) assuming a is positive. a**(-3187/7350) Simplify n**(1/51)/(n*n**36)*(n*n/(n/(n*n/n**25))*n)/((n*n/n**(-7)*n)/n) assuming n is positive. n**(-3416/51) Simplify d/d**14*d/d**(-1/15)*(d/(d/(d**(-1/4)/d)*d))/((d*d*d**(1/6)/d)/d) assuming d is positive. d**(-287/20) Simplify (p*p**(-1/2)*p**(-38)/p)**(-8/7) assuming p is positive. p**44 Simplify ((r**0)**(-31))**(-12) assuming r is positive. 1 Simplify g**(5/6)/g**(6/7)*g**9/g**(-1/8) assuming g is positive. g**(1529/168) Simplify (h/((h/(h**(4/11)/h))/h))**3*(h**(2/11)/h*h)**(1/2) assuming h is positive. h**(13/11) Simplify (n*n**(-2/5)*n)**(-31)*(n**(-14)*n)/n*n/(n/(n**17/n)) assuming n is positive. n**(-238/5) Simplify l/(l/(l*l**(-1/19)))*l*l**13*l*l**(1/6)/l*l**5 assuming l is positive. l**(2293/114) Simplify (c**19*c*c/c**4*c)/(c*c**(-1/2))**(4/17) assuming c is positive. c**(304/17) Simplify (((p*p**(-3/2))/p*p/(p/(p/(p*p/(p*p**(2/21))*p*p))))**49)**(3/14) assuming p is positive. p**(-143/4) Simplify (d/d**(-25)*d**(-17))**(-8) assuming d is positive. d**(-72) Simplify (i/i**(-9))/i*i**(4/9)*(i**(-14)/i)/(i**(4/7)/i*i) assuming i is positive. i**(-386/63) Simplify ((z**10*z*z**(1/6)*z)**(3/28))**18 assuming z is positive. z**(657/28) Simplify (m*m**(-2/11)*m)/m**(10/7)*(m*m*m**(3/14)*m)/((m/((m*m*(m**(1/2)/m)/m*m)/m))/m*m) assuming m is positive. m**(239/77) Simplify (b*b*b**(1/10)*b)**(27/7)/(b*b**(-15)*b**1) assuming b is positive. b**(1747/70) Simplify (f**8/f*f)**(1/2)/((f**(2/7)/f)/f*f**(-3)) assuming f is positive. f**(61/7) Simplify (((a*a**(-1/3))**(7/11))**(-2/37))**(-28) assuming a is positive. a**(784/1221) Simplify ((o/o**(-2/49))/(o/(o**(1/20)/o)))/(o**(1/8))**(-3/46) assuming o is positive. o**(-81237/90160) Simplify y*y**10/y*y/(y/(y**(-7/5)*y))*y/((y/y**6)/y*y)*y**(-6/5)*y assuming y is positive. y**(77/5) Simplify g**(-5/2)/g**(2/79)*(g**9)**(-5/6) assuming g is positive. g**(-792/79) Simplify (v**(-6)*v**1)/((v*v**7/v)/(v/(v/(v**(-6)/v))*v)) assuming v is positive. v**(-18) Simplify ((m**(-1)*m**(1/5))**(-2/27))**28 assuming m is positive. m**(224/135) Simplify (((w*w**(2/13))/w)**(-34))**(-4/11) assuming w is positive. w**(272/143) Simplify l**(8/9)*l**(-9)*(l*((l*((l*l**(3/7)/l)/l)/l)/l)/l)/l*l*l**2 assuming l is positive. l**(-484/63) Simplify x**2*x**(-3)*x**(-3/11)/x*x*x/x**(-4)*x assuming x is positive. x**(52/11) Simplify (((l/(l/l**(-4/5)*l)*l)/(l/l**6*l))**(6/7))**(-12) assuming l is positive. l**(-1152/35) Simplify (g*g*g/(((g*(g*g**(-4)/g*g)/g)/g)/g)*g)**(-1/93)*((g**14*g)/g)/(g/(g/(g/(g**(-15/7)*g*g)))) assuming g is positive. g**(2769/217) Simplify ((u/(u**6*u*u))/((((u*(u/(u/(u**(-11)/u)))/u)/u)/u)/u*u))/(u**15/(u*u*u*u/u**3)) assuming u is positive. u**(-7) Simplify ((h**(3/17))**28)**(-12) assuming h is positive. h**(-1008/17) Simplify (l**4*l/(l*(l/(l/l**(4/7)))/l))**(-32) assuming l is positive. l**(-992/7) Simplify (b**(-5))**(-1/25)/(b**(-15)*b**(1/2)) assuming b is positive. b**(147/10) Simplify (s**(-2/53)*s*s/s**(-2/7)*s)/(s**(1/10)*s*s/(s*s*s**(-10))) assuming s is positive. s**(-25421/3710) Simplify ((h**0/h*h*h/(h/(h/(h/(h/(h/(h/(h**6/h)))))*h)))/(h**5/h*h*h**(2/7)))**(-2/29) assuming h is positive. h**(4/7) Simplify (l*l**(-22))**46*(l/l**(4/11)*l)/l**31 assuming l is positive. l**(-10949/11) Simplify ((b**15)**(-27))**(-2/35) assuming b is positive. b**(162/7) Simplify (v/((v/(((v*(v/(v/(v*v/(v*v**(3/2))*v)))/v)/v)/v))/v)*v**(-7/3)/v)/(v**7/v**(2/29)) assuming v is positive. v**(-1873/174) Simplify (r/(r*r/(r**2*r)*r))**(-1/12)*r**(-4/3)*r**(6/7) assuming r is positive. r**(-47/84) Simplify (u**(-11))**(-3/19)/(u**(-8))**(-16/7) assuming u is positive. u**(-2201/133) Simplify ((x*x**(1/5)/x)/x)**46*(x**(-2/5)/x)/x*x**(-5) assuming x is positive. x**(-221/5) Simplify g*g**(-7)*g*g*g/(g*g/(g*(g*g**10*g*g)/g*g)*g)*g**(-2/5)*g**(-9) assuming g is positive. g**(-7/5) Simplify (t*t*t**(-10)*t*t)/t**(-9/7)*t**(1/2)*t**(-3/16) assuming t is positive. t**(-493/112) Simplify (j**0)**(6/25)/(j**4/j**(-2/27)) assuming j is positive. j**(-110/27) Simplify (f*f**(-2/7)*f**(2/9))/(f**(-2)*f*f**(-1/4)) assuming f is positive. f**(551/252) Simplify i**(-2/29)*i**(-9)*i**0/((i*i/i**(2/43))/i) assuming i is positive. i**(-12498/1247) Simplify ((u**(1/2)/u**(-2))**41)**(1/31) assuming u is positive. u**(205/62) Simplify (((m/m**(-2/3))/((m**3*m)/m))**37)**(-12/13) assuming m is positive. m**(592/13) Simplify (d*d*d*d/(d/d**(2/19))*d)**(13/4)/((d/((d/d**(-1/7))/d))/(d**(-5/6)*d)) assuming d is positive. d**(5048/399) Simplify ((b/b**(-9/4))/(b/(b*b*b*b*b**4/b)))/((b**(-1)/b*b)/((b/(b**(-3)*b)*b)/b)) assuming b is positive. b**(53/4) Simplify r**(-1/21)/r*r/(r/r**(2/55))*r*(r/(r**1/r*r))/(r*r*r**28) assuming r is positive. r**(-34663/1155) Simplify ((((u/(u*u**(8/3)))/u*u)/u)/(((u**(-2/17)/u)/u)/u))/(u**(-11)/(u*u**(-2/19))) assuming u is positive. u**(10994/969) Simplify ((j*j*j**(2/17))/(j*j*j/(j*j**(-33))))/(j/j**(-7))**(2/119) assuming j is positive. j**(-3929/119) Simplify (p*p**(-14)*p*p/p**(2/23))**(-3/25) assuming p is positive. p**(153/115) Simplify ((d**(-5)/(d*d*d**5*d*d))**(-37))**(4/43) assuming d is positive. d**(2072/43) Simplify (m**(-20)/(m/(m**(-24)*m*m)))/(m**(-1/16)/m**(19/5)) assuming m is positive. m**(-3131/80) Simplify ((o**0)**(-14)/(o**0)**(-46))**(-32/5) assuming o is positive. 1 Simplify (t*t**(-11)/t*t)/(t/(t**(18/5)/t)*t)*t**(1/6)*t**8 assuming t is positive. t**(-37/30) Simplify (((((((p*p**14)/p)/p)/p)/p*p)/p)/(p/(p*(p/(p/(p**(10/7)/p)))/p*p)))/((p*p**10*p*p*p*p)/(p*(p*p/(p/p**(-15)))/p)) assuming p is positive. p**(-123/7) Simplify (q/(q*q**(11/2)/q))/(q**1/q)*(q/(q*q/(q*q*q**(8/3)*q)*q))/q**(-6) assuming q is positive. q**(31/6) Simplify s*s**7/s*s*s*s**(-17)*((s*s**(-18))/s)/s*s/(s**(9/7)/s) assuming s is positive. s**(-184/7) Simplify (((m**1)**43)**(1/5))**29 assuming m is positive. m**(1247/5) Simplify f**3*(f*f**(-24))/f*(f**(-13))**(-1) assuming f is positive. f**(-8) Simplify (n/((n*n/(n**(-6/17)*n))/n))**(-3)*(n*n*n**(5/3)*n)**(-41) assuming n is positive. n**(-9857/51) Simplify ((m**(-10)*m*m)**42)**10 assuming m is positive. m**(-3360) Simplify (k*k/((k*k**(-4/11))/k)*k*k**(-5/3))/(k**(2/5)/(k*k/(k/(k/(k**7/k)*k))*k*k)) assuming k is positive. k**(49/165) Simplify ((b/(b/((b**0*b)/b)*b))/b)**(1/34)*(b/b**(-2/31))/(b*b**15) assuming b is positive. b**(-7902/527) Simplify (y**(-1)*y)/(y*(y/(y**(2/17)*y))/y*y)*y**(-1/4)*y*y*y*y**3*y assuming y is positive. y**(399/68) Simplify (((j*j**(-5/4)*j)/j)/j**21)/(j*j**13)**10 assuming j is positive. j**(-645/4) Simplify ((s*s*s*s/(s**(-25)/s)*s)/s*s/s**(-2/101))/(s**(-14))**11 assuming s is positive. s**(18687/101) Simplify z**(3/4)*z*(z*z/z**(-1/4))/z*z**(3/10)*z/(z/((z/z**(1/2)*z)/z)) assuming z is positive. z**(19/5) Simplify (u*u**6)/(u**2/u*u)*(u**(2/7))**(10/9) assuming u is positive. u**(335/63) Simplify (x**(-2/49)*x)/x**6*x**(-1/11)/((x*x*x/((x**(-8/9)/x*x)/x))/x) assuming x is positive. x**(-43759/4851) Simplify (s*s*s/(s*
{ "pile_set_name": "DM Mathematics" }
r. Let c be (-1 + 4 + -1)/(-20 + 30 + -18). Which is greater: h or c? h Let r(z) = 11*z + 49. Let u be r(-19). Let s = 8161/51 + u. Which is smaller: s or -1/6? -1/6 Let z = 374 - 538. Let t = -163 - z. Which is smaller: -3/14 or t? -3/14 Suppose 2*k = 16*k - 154770. Let m be 10/(-55) - (-2120)/k. Which is smaller: 1 or m? m Let p be (1/20*5)/((-1)/(-932)). Let z be 29 + (-12210)/(-60) - (-2)/((-8)/(-6)). Which is greater: z or p? z Let k = -2922 - -3611. Is k at least -0.2? True Let k(d) = d**2 + d + 85. Let r be k(0). Let n be (-33)/r + (-21)/105. Is n at least 1/2? False Suppose -108*n + 175*n - 88*n = 27741. Which is smaller: n or -1323? -1323 Let x = 252 + -251. Which is smaller: x or -2/725? -2/725 Let n = -80.051 - -0.051. Let g = -75.9 - n. Let w = g - 4.14. Is -0.07 at least as big as w? False Suppose 0 = -5*a - 5*g - 905, 0 = -a + 2*g - 70 - 123. Let q = -68 - a. Is 116 not equal to q? True Suppose q - 312 = 3*h, -2*q + 554 = 143*h - 139*h. Which is greater: 310 or q? 310 Suppose 0 = 5*a - 8*a + 48. Let u(l) = 8 - 19*l**3 - 2*l**2 - 2 + a*l**3 + 4*l. Let b be u(-2). Is b equal to 14? True Suppose 0 = -5*j + 2*y + 7, -12*y - 2 = -4*j - 14*y. Is j equal to 2/18797? False Let f = 29.41 - 165.31. Let i = f - -136. Do -12 and i have different values? True Let f = -1.58 - 0.02. Let p = 625 + -622. Are f and p non-equal? True Suppose -2121 = 79*x + 50*x - 28*x. Does x = -12? False Let n be -2*(-4 + 2) + (-2)/2. Suppose 269 = n*a + 971. Let t = a - -7253/31. Which is bigger: 0 or t? 0 Let u = -1171374529/398002 - -31111/5038. Let a = -2937 - u. Which is smaller: a or 0? a Let j(g) = 2*g**3 - 12*g**2 - 12*g - 11. Let h be j(7). Suppose -13 = -5*w - h. Which is bigger: w or 21? 21 Let r = 277 + -343. Let f = r + 66. Which is smaller: 1/6 or f? f Let l = 1086 + -1013.7. Let v = l + 23.7. Let d = v - 95.9. Is d smaller than 4/5? True Let g be ((-88)/352)/(-1 + 1735/(-4)). Does g = 1? False Let f(n) = 4*n**2 - 74*n + 254. Let a be f(22). Which is smaller: a or 571? a Suppose 1 = -4*h - 19. Let n be 2/(-4)*h/(-10). Let v be 6/28*82/(-123). Is v bigger than n? True Suppose -t + 3 + 1 = 0. Let b be 6/(-18) - t/6. Let j be 5/110*122 - 6. Which is greater: j or b? j Let v be (-7 - (-21 - -6)) + 2/(-2). Suppose -2*j - 3*a + 124 = -v*a, 2*j - a - 109 = 0. Which is smaller: 1 or j? 1 Suppose -8*m = -4*m + 4*d + 940, -3*m - 708 = 6*d. Which is bigger: -245 or m? m Suppose 0 = -113*l - 466 - 890. Which is smaller: l or -18? -18 Let s(w) = w**2 + 5*w - 11. Let t be s(-5). Suppose 5*q + f = 32, 2*f + 12 + 2 = 3*q. Let i = t + q. Is 1/7 greater than or equal to i? True Let u(r) be the third derivative of -r**6/120 - r**5/3 - 35*r**4/24 + 7*r**3 - 3*r**2. Let d be u(-18). Let p be (-506)/(-16) - 3/d. Which is smaller: p or 31? 31 Let p(q) be the third derivative of q**4/8 - 3*q**3/2 + q**2 + 30. Suppose 5*z = -3 + 23. Let g be p(z). Which is smaller: g or 0? 0 Let q = 455 + -535. Are -77 and q equal? False Let r be 6/(-20) + 3/9. Suppose 2*s - 5*n - 6 + 0 = 0, s - 2*n - 2 = 0. Let t be (42/(-7))/36*s. Which is bigger: t or r? t Let d be -12 + (-38)/(-3) + 4444/(-33). Suppose 2 = -2*q + r - 266, -668 = 5*q - 2*r. Which is smaller: d or q? d Let b(u) = u**2 - 24*u + 89. Let a be b(5). Let j be (-9609)/21 - a/(-14). Are j and -459 nonequal? True Suppose -22 + 23 = s - 2*d, 0 = 8*s - 4*d + 4. Which is greater: -2/16721 or s? -2/16721 Suppose 2*d - 557 = -3*z, -d + 261 + 19 = 3*z. Suppose -4219 = -13*a - 20*a + 4955. Which is greater: d or a? a Let i = 411 + -759/2. Suppose -11084*a + 11079*a + 165 = 0. Is a != i? True Let f = -951/5 + 231103/1215. Which is greater: 21 or f? 21 Let u = -275.16 - -279.16. Is -5342 at most as big as u? True Suppose 5*p = 2*p + 189. Suppose 0 = -4*t + 3 - p. Let b = 0.05 + 0.15. Which is smaller: t or b? t Let a = -2.81 + -0.19. Let h = 10 + a. Let n = 63 + -64. Which is bigger: h or n? h Let x be -2 + (-135)/(-3) - (-8)/2. Suppose x*b - 38*b - 270 = 0. Which is greater: -1/5 or b? b Let m = -201/4 + 17077/340. Let u(o) = 98*o**3 + o**2 - 3*o - 3. Let b be u(-1). Let j = -96 - b. Are m and j non-equal? True Suppose 7*f = 36*f - 116. Suppose 5*r = f*y - 58 + 9, -3*y = -5*r - 38. Does y = 11? True Suppose -18*b + 792 = 29*b + 41*b. Which is smaller: b or 2? 2 Let w be -10 + -9 + 2672/152. Which is smaller: w or -2? -2 Let w(r) = -r**2 + r + 1389. Let q be w(62). Which is greater: -2391 or q? -2391 Let b = 35 - 104/3. Let z = 2.323 + -2.278. Is b < z? False Let w be (-44)/(-10) + (92/20 - 5). Suppose -2*y - 3*y - 9 = -w*q, 0 = 4*y - 5*q. Let h be (-2)/(0 + 2)*1/y. Which is greater: h or -15? h Let o(c) = 230*c**2 + 12*c - 112*c**2 - 39 - 113*c**2 + 7*c. Let t be o(-7). Let q be -1*2*(-73)/2. Is t equal to q? True Let z(l) = -7*l - 151. Let w be z(-17). Let g be (2/2 + -3)*716/w. Does g = 46? False Let w = -152 + 116. Let v be 8/(-6)*(-45)/w. Which is smaller: 0.2 or v? v Suppose 0*w - w + 4 = -3*k, 0 = 5*k + 5*w. Let o(d) = -d**3 - d**2 - 1. Let c be o(k). Let l be c/(94/31 + -3). Is -31 != l? False Let x = 602352/71 + -8484. Suppose -2638*p + 2638*p = m, -4 = -4*p + 3*m. Which is bigger: p or x? p Let t(k) = 3*k**3 - 8*k**2 - 4*k + 5. Let h(o) = -o**3 + o. Let s(b) = -4*h(b) - t(b). Let l = -1494 - -1486. Let x be s(l). Which is greater: -7 or x? x Let l = 10431 - 9866. Which is smaller: 7 or l? 7 Let d be 1/5 + (-114)/670. Let k = d + -123/1876. Let p = -1185 - -1184. Which is smaller: p or k? p Let k = 3748 + -3763. Is 14 greater than k? True Let b be 1/(-4)*(-12 + 86) - -4. Let o = 91/6 + b. Which is smaller: 98 or o? o Let s(t) = -166*t - 2076. Let z be s(-11). Is z at most as big as -241? True Let g(k) = -10*k**3 - 8*k - 27. Let m be g(-3). Suppose 0 = 3*t - 3*s - m, 4*t - 354 = -0*t + 3*s. Let r be t/(-6) + 2/4. Is -43/3 > r? False Let i be -9 - -1 - (8 + -16 + 56). Which is smaller: i or -967/17? -967/17 Let y(m) = -m**3 + 110*m**2 - 427*m + 317. Let x be y(106). Do x and 6/4543 have different values? True Let m = 532321/10 - 53293. Which is smaller: -62 or m? -62 Let l be (-585)/(-165) + (12/11)/(-2) + -2981. Which is bigger: l or -2977? -2977 Let g be 0/(4 + 5) + (-640)/(-9). Suppose -4*c - 4*z + 300 = 0, c - 5*z - 60 = -z. Which is bigger: c or g? c Let p = 127/5 + -28. Let d = 603 + -468. Let r = d + -137. Which is smaller: p or r? p Suppose 5*g - 85 = -5*n, -g + 63 = 3*n - 2*g. Suppose 17*v = n*v + 9. Let r be 4 + (-7 - v) - (4 + -3). Which is smaller: 3/7 or r? r Suppose 0 = g - 6 + 8, 4*w - 2*g + 4 = 0. Let q be w/(-9) - ((-26390)/1035)/(-13). Which is greater: q or -3? q Let o be ((-4)/(-18))/(42000/108). Which is smaller: o or 1? o Suppose 15*n = 11*n. Suppose n = -4*s - 21*s - 4425. Which is smaller: -176 or s? s Let m(l) = -l**3 - 3*l**2 - 5*l + 4. Let f be m(-3). Let p = -18 + f. Let d be 1 + p + (-36)/2. Which is bigger: d or -15? -15 Let z be -1*(-4)/10*-3. Let m(s) = -s**2 - 11*s + 16. Let k be m(4). Let g be (-11)/k + 15/(-12). Which is bigger: z or g? g Suppose -4*b + 5*o = -102, 0*o = b + 3*o - 34. Suppose 16*p - b = 4. Is p smaller than 24/17? False Let j be (-1)/9*(2 + (-182305)/35). Let g = -578 + j. Is 1 less than g? False Let h be 64/10 - 34/85. Let x(k) = 2*k**3 - 12*k**2 - 2*k + 11. Let t be x(h). Which is bigger: -6/115 or t? -6/115 Let l be 1/1*(-34)/((-8092)/2590). Which is bigger: l or 10? l Let t = -425 - -542. Suppose 115 = -2*v - 5*p, -4*v - 68 = -5*p + t. Do v and 1 have different values? True Let q = -606.3 + 609.6. Is 16.8 at least as big as q? True Let r(z) = z**3 + 71*z**2 + 158*z - 389. Let f be r(-68). Which is smaller: 2741 or f? f Let z = -1073 + 1074. Is -9/40 equal to z? False Let f = 234.25 + -234.05. Which is bigger: -5415 or f? f Let d be -2 - -19 - (-522)/(-29). Do d and -3/20804 have the same value? False Suppose 4*a = -d - 41, 10*d - 9*d - 2*a + 35 = 0. Let i = d - 125. Is -163 less than i? True Let j = -330.37 - -334. Suppose -2*v + 4 = -6*v. Which is smaller: v or j? v Let v = -31.4 - 111.6. Let m = v + 143.4. Which is smaller: m or -0.23? -0.23 Let f(c) = c**2 - 6*c + 3. Let t be f(6). Suppose -3*p = -t*i + 113 + 121, 5*i = -2*p - 128. Is p <= -74? True Let x be 3/6 - ((-18798)/5364 - -4). Is -1 > x? False Suppose 0 = -4*k + 25*o - 21*o + 280, -2*o = -4*k + 276. Suppose -25
{ "pile_set_name": "DM Mathematics" }
4*x - 3*q + q = -u. Calculate the greatest common divisor of x and 2. 2 Suppose 485 = 4*c - 3*s, 5*c + 2*s + 3*s = 650. Let g be -3 - (-4 + c/(-5)). Calculate the highest common divisor of 104 and g. 26 Suppose 2*x - x = 140. Suppose 3*w - 54 = -3*a, a = -2*w + 6*w + 28. What is the greatest common factor of a and x? 20 Let u = 164 - 180. Suppose -4*z = -i - 28, 4*i + 2*z + 118 = -i. Let n = u - i. What is the greatest common divisor of 72 and n? 8 Let t = -108 - -110. Let x be 24/9*9/t. Calculate the greatest common factor of x and 60. 12 Let k be 95/10 + 1/(-2). Let l(z) = 2*z - 5. Let u be (-4)/10 - 66/(-15). Let x be l(u). Calculate the highest common divisor of x and k. 3 Let r(s) = 110*s + 5. Let b be r(2). Suppose -62 = -g + 4*y, 5*g - b = -0*g + 3*y. Calculate the greatest common divisor of g and 14. 14 Suppose -2*g = 3*m - 192, 0 = 4*m - 4*g - 276 - 0. What is the greatest common factor of m and 3102? 66 Let w(u) = -u**3 - u**2 - u + 2. Let t(m) = -m + 6. Let b be t(6). Let k be w(b). What is the highest common factor of 10 and k? 2 Suppose 59*w - 54*w = 525. Suppose w = -2*h + 479. Let y(m) = -m**2 - 8*m + 5. Let q be y(-6). What is the greatest common divisor of q and h? 17 Let n = 10 + -10. Let i be n + -4*4/(-16). Let q be -3 + (-2 - (-21)/i). Calculate the highest common factor of q and 96. 16 Suppose 3*j + 4*d = 101, -87 - 42 = -3*j + 3*d. Calculate the highest common divisor of 91 and j. 13 Let s(q) = q**3 - 10*q**2 + 6*q + 16. Let g be s(9). Let b(p) = p**3 + 11*p**2 - 8*p - 4. Let k be b(g). Calculate the greatest common divisor of 14 and k. 14 Let r be (3 - (5 - 2)) + 0 + 2. Suppose 4*u + 12 = 7*u. What is the highest common factor of u and r? 2 Let p be (0*(-2)/(-8))/4. Suppose p = -14*z + 16*z - 4. What is the highest common divisor of 3 and z? 1 Let h be 1068/178 + (-394)/(-2). What is the highest common factor of 116 and h? 29 Let k be ((-414)/(-69))/((-2)/((-52)/3)). Calculate the highest common divisor of k and 260. 52 Let f(m) = m. Suppose -4*w + 2*n - 11 = 7*n, 3*w + 5*n = -12. Let v be f(w). What is the greatest common divisor of v and 3? 1 Let f be (47 - 45)*(10 - 0). What is the greatest common factor of 50 and f? 10 Let g be -864*((-72)/(-27))/(-1). What is the highest common divisor of 36 and g? 36 Let z be 4/(-30) + 4216/(-240)*-2. Calculate the greatest common factor of z and 7. 7 Let k be 28/70 + (-33)/(-5). What is the highest common factor of 119 and k? 7 Suppose -3*c + 676 = 4*u, 4*u = -c - 0*u + 212. Let q be 10/65 + c/13. What is the greatest common divisor of q and 234? 18 Suppose -16 = -4*x, -518 = -4*a - 5*x + 22. Calculate the highest common factor of 20 and a. 10 Suppose 41*i - 3337 = 1091. What is the highest common divisor of 16 and i? 4 Let h(a) be the second derivative of 0 + 0*a**2 + 4*a + 1/6*a**4 + 0*a**3. Let t be h(2). What is the greatest common divisor of t and 8? 8 Let t be (3/(-2))/(6/(-8)). Let s be (290/40)/(t/16). What is the highest common divisor of s and 145? 29 Let s(y) = y - 2. Let k be s(-2). Let n(l) = -l**3 - 3*l**2 - 3*l + 4. Let q be n(k). Let c be 0/1 - 4*-2. Calculate the highest common divisor of q and c. 8 Suppose 2*o = 155 - 29. Calculate the greatest common divisor of 441 and o. 63 Let z = -857 + 1291. Calculate the highest common divisor of 496 and z. 62 Suppose 161*x - 172*x = -1672. What is the highest common factor of 95 and x? 19 Let x(w) = -3*w - 10. Suppose 0 = 2*c - 5*c + 24. Suppose 0*y - y = c. Let i be x(y). Calculate the highest common divisor of 2 and i. 2 Let q be 0 + (-2 - 0) + 14. Let h = -202 + 262. Calculate the greatest common factor of h and q. 12 Suppose 5*i + 692 = 7*i. Let r = -178 + i. Calculate the greatest common divisor of r and 24. 24 Suppose -4*f = 2*p + 8, 4*f - 16 = -3*p + 5*f. What is the highest common divisor of p and 24? 4 Let u = 283 - 281. Suppose -5*q + 11 = -4*n, 0 = q - 6*n + 3*n. Suppose q*g = 2*g + 16. What is the highest common divisor of g and u? 2 Let k be (825/(-330))/(10/(-12)). Suppose 26 = 3*y - 10. Suppose 0 = z - 0 - y. What is the greatest common factor of k and z? 3 Let k(l) = 2*l + 3. Let m(n) = n + 3. Let y(h) = -2*k(h) + 3*m(h). Let b be y(-6). Suppose b*u = 364 - 40. What is the highest common divisor of u and 108? 36 Suppose 4*d + a = 1011, -7*d + 9*d - 5*a = 511. What is the highest common divisor of 22 and d? 11 Suppose 0 = 3*t + 3*s + 72, -3*s = -3*t + 5*t + 47. Let n = -11 - t. Let v be 57*(n/(-6) - -3). What is the greatest common divisor of v and 95? 19 Let h(z) = 20*z - 433. Let l be h(22). Let s be 2/(-8) + 253/4. What is the greatest common divisor of s and l? 7 Let c = 6 + -7. Let p be c - 7/((-21)/(-6)). Let k be p/4 - 259/(-4). Calculate the greatest common factor of 8 and k. 8 Let d = 8 + 8. Let w be 0*1/3 + 1 + 1. Suppose -w*i + 4*k + 14 = -18, -2*k - 24 = -2*i. Calculate the greatest common divisor of d and i. 8 Suppose 5*g - 10 - 5 = 0. Let z be 10/15 - (-2)/(-3). Suppose g*h = 5*w + 97, -4*h + 5*w - w + 116 = z. Calculate the greatest common factor of 264 and h. 24 Suppose -y + 7*k + 2 = 3*k, y - 3*k - 2 = 0. Suppose -2*s + 76 = 3*l, y*s - 7*s = 2*l - 69. Let n = l + -5. Calculate the greatest common factor of 17 and n. 17 Let w(y) = -2*y**2 - 30*y + 15. Let k be w(-15). Let d = 7 - 4. Calculate the highest common divisor of d and k. 3 Let a(p) = -p**2 - 6*p + 2. Let j be a(-6). Suppose -3*v = -j*v - 40. Let k(w) = w + 16. Let t be k(-8). Calculate the highest common factor of v and t. 8 Let h(r) = r**3 + 20*r**2 - 6*r - 10. Let s be h(-19). What is the highest common divisor of s and 30? 15 Let k = 96 + -54. Suppose 6*u = 1804 - 1762. Calculate the highest common divisor of u and k. 7 Let b = -212 + 248. What is the greatest common divisor of 3 and b? 3 Let a = 5 + 1. Suppose 5*f - 8 = 3*f. Suppose 6*r - 2*r = f*i + 172, 0 = -2*r - 4*i + 80. What is the greatest common divisor of a and r? 6 Suppose -153 = -4*j - 65. Let l be -15 + ((-8)/2 - -8). Let h = j + l. What is the highest common factor of h and 11? 11 Let u(d) be the second derivative of d**3/6 + 3*d**2/2 + d. Let j be u(0). Let t be (-3)/j*-81 + 0. Calculate the highest common factor of 54 and t. 27 Let r be 581/4 - 2/8. Suppose -q = -5*q + 232. Calculate the highest common factor of r and q. 29 Suppose 0 = -4*j - 5*g - 0*g + 1092, g = 0. What is the highest common divisor of j and 195? 39 Suppose t - 14*k = -10*k + 263, 3*t - 831 = -2*k. What is the highest common factor of 11 and t? 11 Suppose -25*m = 215 - 1065. Calculate the greatest common factor of m and 18. 2 Let n be 24/(-132) - (-123)/11. Suppose -n*p + 108 = -8*p. Calculate the greatest common factor of p and 24. 12 Suppose -1821*w + 510 = -1820*w. What is the highest common divisor of 30 and w? 30 Let j(u) be the third derivative of u**6/60 - u**5/30 + 7*u**4/24 - 5*u**3/6 + 2*u**2. Let p be j(2). Calculate the highest common factor of p and 85. 17 Suppose 0 = -3*r + 2*p + 572, -r + 0*p - 2*p + 196 = 0. What is the highest common factor of 144 and r? 48 Suppose -2*x + 3*u + 7 = -3, 2 = 5*x + 4*u. Suppose -3*b - 4*n = -x*n - 218, 2*b - 162 = 2*n. Calculate the greatest common divisor of b and 38. 38 Suppose 4*p = l - 85, 8*l = 9*l - p - 91. Calculate the greatest common divisor of 217 and l. 31 Let a(d) = 3*d + 13. Suppose -4*c = -0*c - 24. Let u be a(c). Calculate the greatest common divisor of u and 62. 31 Suppose 3*u + 5*x = 24, -x + 2*x + 32 = 4*u. Let t = -3 - -8. Suppose -54 - 6 = -t*w. Calculate the greatest common factor of u and w. 4 Let k be ((3 - (-10)/(-2)) + 2)/2. Let r(t) = -t**3 - t**2 - 2*t + 3. Let p be r(k). Calculate the greatest common factor of p and 6. 3 Let y be 5/(-2)*(-2)/1. Suppose 4*n = y*n + 86. Let b = -41 - n. What is the greatest common factor of b and 15? 15 Suppose -4*k = -2*t + 286, t + 0*k - 5*k = 143. Suppose -9 = -3*i - 3. Suppose -i*l + 13 = -l. What is the greatest common factor of t and l? 13 Suppose -29 - 71 = -10*u. Calculate the greatest common factor of u and 170. 10 Suppose 0 = 11*m - 933 - 926. Calculate the highest common factor of 26 and m. 13 Suppose -9*z = 65 - 767. Calculate the highest common factor of z and 130. 26 Suppose -z = 5*p + 9 + 6, -5*z = p - 21. Suppose 6 = z*x - 34. Let h = -24 + 25. Calculate the highest c
{ "pile_set_name": "DM Mathematics" }
2 - 5*t - 76*t**3 + 2 + 578*t**2 - 293*t**2 as s*t + y*t**3 + n + x*t**2 and give s. -5 Rearrange -3*z**2 + 1 - 1 + (-3*z + 5*z - 3*z)*(-5*z + 4*z - 2*z - 3 - 2*z + 3 + (1 + 0 + 1)*(-4*z - z + 4*z) - z + 5 - 5) to l + x*z + j*z**2 and give j. 5 Rearrange (r**3 + 3*r**3 - r**3)*(-5*r + 5*r - 6*r) + r**4 - 2 - 10*r + 10*r to the form h*r**3 + s*r**4 + b + l*r**2 + q*r and give s. -17 Rearrange (5 + 0 - 1)*(3 - 3 - 3*p)*(22*p + 18*p + 7*p) to the form l*p**2 + j*p + y and give y. 0 Rearrange (4 - 1 - 5)*(-1 + 1 - 6*j + (-5 + 2 - 2)*(0 + 0 + j) + 0 + 0 - 2*j) to the form r*j + n and give r. 26 Express (-185 + 20*h + 185 + 15*h)*(-2*h - 2*h + 6*h) as j*h**2 + o + i*h and give j. 70 Express (3*g**2 + 4*g**2 - 4*g**2)*(-4*g + 8*g + 0*g) - 2*g + 1295*g**3 - 1293*g**3 - 2*g in the form d + q*g + r*g**3 + y*g**2 and give r. 14 Rearrange 0*o + o - 2*o - 1 - o + 1 + o + 2 - 2 + (-5 + 5 - 1)*(o - 2*o - o) - 3 + 4*o + 3 - 8*o + 2*o + 3*o to the form y + q*o and give q. 2 Express (13 - 12 + 12)*(6 - 12*m + 8*m - 8*m) in the form n*m + u and give n. -156 Rearrange (7*w + 12*w - 26*w)*(1 - 5 - 7) to h + r*w and give r. 77 Express (1 - 4 + 14)*(6 - 6 + 2 + 2*z + (3 + 3 - 4)*(-5*z + 4*z + 3*z) - 3*z - 9 + 9) as i + g*z and give g. 33 Rearrange -1 + 1 + h**4 + (-65*h**4 + 25*h**4 - 46*h**4)*(-1 + 2 - 2) to w + n*h + b*h**3 + p*h**4 + i*h**2 and give p. 87 Rearrange (-46 + 3 - 24)*(0 + 0 + a) + 5 - 5 - 3*a to the form x + w*a and give w. -70 Rearrange (1 - 1 + 2*l**2)*(5 - 2 + 0) + 13*l**2 + 9*l**2 - 3*l**2 + (l**2 + 0*l + 0*l)*(1 + 3 - 1) to the form q*l + c*l**2 + t and give c. 28 Express 2*y + 4*y - 4*y + (-7 + 2 + 13)*(0*y - 3*y + 6*y) + (3 - 3 + 1)*(3*y - 3*y - 2*y) - 3*y + 2 - 2 + (-1 - 2 + 4)*(4*y - y - 2*y) as z*y + s and give z. 22 Rearrange 57*g**2 + 121*g**2 + 36*g**2 + 44*g**2 - 19*g**2 to p*g**2 + s*g + f and give p. 239 Rearrange -67*d + 66*d - 452 + 99 to the form a + y*d and give y. -1 Rearrange -39*s + 0 - s**3 - 21*s**2 + 0 + 2 + 41*s to the form x*s**3 + c + z*s + v*s**2 and give c. 2 Express 2763*m**3 - 2791*m**3 - 2 + 7*m - 1 + (2 - 5*m - 2)*(-4*m**2 + 3*m**2 - m**2) as f*m**3 + a + v*m + z*m**2 and give f. -18 Rearrange 0*z**4 + z**2 - 3*z**4 - 3*z - 1 - z**3 + 1 + 2 + 7*z**4 to v + h*z**2 + y*z + n*z**3 + j*z**4 and give j. 4 Express 143*o**3 + 13*o - 11*o**2 - 278*o**3 + 137*o**3 in the form s*o**3 + a + u*o**2 + t*o and give u. -11 Express -119 + 55 + 18*n**2 + 2*n + 56 in the form z + u*n**2 + f*n and give f. 2 Rearrange 17*v**4 + v**2 + 19*v**4 - 2*v - 1 + 16*v**4 - 41*v**4 to f*v**4 + q + o*v + h*v**3 + w*v**2 and give q. -1 Express (-3*d**2 + 2*d**2 + 2*d**2)*(0*d + 0*d + 2*d**2) + 5*d**4 - 3*d**4 - 32*d**2 + 35*d**2 as c*d**3 + y + r*d**4 + p*d + i*d**2 and give r. 4 Express (105 + 95 + 200)*(-2*c - c + 2*c) as z + o*c and give o. -400 Express (72 + 121 + 63)*(4*a**2 + 0*a**2 - 2*a**2) in the form n + d*a + s*a**2 and give n. 0 Rearrange 36*x - 114*x + 44*x - 107*x**3 - 2 + 20*x**3 + 33*x to the form s*x + v + y*x**3 + h*x**2 and give s. -1 Rearrange (0 - 1 + 2)*(-1 + 2*h + 1) + 3*h + 2*h - 25*h + 2*h - 4*h + 34*h to the form s*h + f and give s. 14 Rearrange 5*b**3 + 0*b - 14*b**4 + 5 - 2*b + 13*b**4 - 7 - b to the form q + f*b**3 + r*b**2 + w*b + l*b**4 and give r. 0 Express 9*s + s**2 - 6*s**2 + 2*s**2 in the form k + v*s**2 + b*s and give k. 0 Express (-4*y + y - y)*(-10*y**3 - 7*y**3 + 2*y**3)*(-3 - 1 + 2) in the form k + a*y**4 + r*y**3 + x*y + o*y**2 and give a. -120 Rearrange 2*z - 2*z + 508*z**3 - 45*z**2 - 254*z**3 - 1 - 256*z**3 to the form h*z**3 + x*z**2 + r + u*z and give r. -1 Express (-35*k**2 - 41*k**2 + 113*k**2)*(k + 6*k - k)*(-2*k + 3*k + 0*k) in the form c*k**2 + n + y*k**3 + z*k + x*k**4 and give x. 222 Rearrange 1830*u**3 + 0 + 2 - 1832*u**3 - u**2 to the form t + i*u**3 + b*u**2 + o*u and give i. -2 Rearrange (-328 - 410 + 241)*(k**3 - k**3 + k**3) to the form a*k**3 + l + r*k + x*k**2 and give a. -497 Rearrange (-n**2 - 2*n**2 + 4*n**2)*(5*n - 3*n - 4*n) + 20*n - 1413*n**3 - 20*n + 1824*n**3 to the form z*n**2 + x*n + b + w*n**3 and give w. 409 Express (37*h - 37*h - 12*h**2)*(-h - 2*h + h) + 6*h**3 - 2*h**3 - 2*h**3 as y*h**3 + x + u*h**2 + d*h and give y. 26 Rearrange (4 - 4 + 4*u**2)*(-3 + 3 + u) + 8 + 3 + u**3 - 2*u**2 - 4 to the form p*u**2 + q*u + k*u**3 + t and give k. 5 Rearrange (7*h**2 - 8*h**2 + 4*h**2)*(19 + 25*h - 25 - 9*h) to the form u*h**3 + j*h**2 + i*h + q and give j. -18 Express 962*x - 11 + 26 - 15 + 0 as u + o*x and give o. 962 Express -2094*o + 689*o + 3982*o in the form l + n*o and give n. 2577 Express 225*p + 69*p**2 - 68*p**2 + 426*p in the form k + f*p + g*p**2 and give f. 651 Express 48*i**2 - 3*i**3 + 1685*i - 1685*i in the form k*i + w*i**3 + n*i**2 + t and give w. -3 Express 8*l + 9*l + 28 - 21*l - 302 + 2*l as z*l + b and give z. -2 Express -7*n**4 - 4*n**4 - 2*n**2 + 19365*n**3 + 2 + n - 19367*n**3 - 2*n**4 as h*n + v*n**3 + b*n**4 + w + z*n**2 and give b. -13 Rearrange -1 + 2*n + 1 + (2 - 2 + 2*n)*(-2 - 2 + 2) - 4*n + 6*n - n + 3*n - 3*n - n - 204 + 44*n + 628 - 45*n to r*n + f and give f. 424 Rearrange -3*n**3 + n**3 - 54*n - 4*n**3 - 9 + 53*n - 6*n**4 to the form m*n**2 + p*n + u + a*n**4 + h*n**3 and give h. -6 Express 165*d**2 + 24*d**2 + 13*d**2 as h*d**2 + n + p*d and give h. 202 Express 3 - h - 3 - 632*h - 428*h + 780*h + (-1 - 4 + 4)*(3*h - h - 4*h) in the form z*h + n and give z. -279 Rearrange (-3*o**2 + 3*o**2 - o**2 + o)*(-264*o + 11*o - 24*o) to w*o**3 + q + t*o**2 + l*o and give w. 277 Rearrange ((d + 0*d - 2*d)*(-2 - 1 + 1) + 4*d - 4*d + 2*d - d + 2*d - 2*d)*(1 + 3 + 0)*(15*d - 23*d - 6*d) to the form l + k*d + x*d**2 and give l. 0 Express 2*v**3 + 4 - 9 - 3*v**3 + 3*v**3 + 15*v - 3*v**3 in the form u + d*v + c*v**3 + h*v**2 and give c. -1 Express (-31*a**3 - 91*a**3 - 122*a**3)*(-2*a + 5*a - 5*a) as q*a**2 + o*a + v*a**4 + z*a**3 + p and give v. 488 Rearrange -172898 + 172898 + 1339*m to the form q + a*m and give a. 1339 Express (0*f + 0*f + 2*f)*(0 + 3 + 7) + (0*f - f - 4*f)*(3 - 1 - 1) as s + b*f and give b. 15 Express -1 + 4*c - 3*c**2 + 2*c**4 - 3*c**2 - 2*c**3 - c**4 + 7*c**2 + 0*c**2 as l*c**2 + i*c**4 + v*c**3 + x + u*c and give v. -2 Express (y**3 + 0 + 0*y**3 - 3)*(2 + 22*y + 15*y + 2*y) as m*y**2 + v*y + j*y**4 + q*y**3 + o and give j. 39 Rearrange 604*y + 454*y + 68*y + 55*y to c + x*y and give x. 1181 Express (-4 - 2 - 6 + (1 + 4 - 4)*(0 + 1 - 2))*(2*h + h - 5*h + (4 - 6 + 4)*(0 + 0 - 3*h) - 3*h + 0*h + 5*h) as p + q*h and give p. 0 Express (0 - 2 + 4)*((1 - 5 + 3)*(a - 2*a + 2*a) + 3*a + 3*a - 3*a)*(-12*a + 10*a + 19*a) in the form m*a**2 + s + t*a and give m. 68 Rearrange 3*j**3 + 0*j**3 - j**3 + 4*j**2 + j**3 - 4*j**2 + (0*j**2 + j**2 + j**2)*(-5807 + 87*j + 5807) to h*j**2 + b + l*j**3 + s*j and give s. 0 Express (-69*a**2 + 37 - 37)*(-4 + 0 + 5)*(1 - 6 + 1)*(0 - 1 + 3) in the form g*a + k + j*a**2 and give j. 552 Rearrange 3 - s**2 - 1 + 2*s**2 + (0*s**2 + 2*s + s**2 + 0*s)*(33 - 3 + 1) to t*s**2 + j + q*s and give t. 32 Rearrange -1 + 1158*l**2 - 1158*l**2 + 10*l**3 - 5*l - 4*l**3 to a + z*l**2 + k*l + o*l**3 and give o. 6 Express -9*j + 2*j**2 + 2*j + 1 - 4*j**2 in the form s + i*j**2 + p*j and give s. 1 Express -4*w - 362 - 352 + 706 in the form q*w + j and give j. -8 Express -29*w + 11*w - 13 + 20*w as m + z*w and give m. -13 Express 59*x + 366 - 1096 + 366 + 362 + 48*x in the form p + r*x and give r. 107 Rearrange (c - 4 + 4)*(-6 + 8 - 7) + (-3 - c + 3)*(-1 - 3 - 2) - 1 + 1 + c to the form a + u*c and give u. 2 Rearrange 56 - 14 - 2 - 2*n + 54 to u + m*n and give m. -2 Rearrange (-5*i + 6*i + 10*i)*(-2*i**2 - 5*i**2 + 5*i**2 - 3*i) to the form h + p*i**3 + y*i + j*i**2 and give j. -33 Rearrange (-d + 3*d - 4*d)*(-5*d - 9*d + 6*d) + (-6*d - 6*d + 2*d)*(-3*d + 2*d + 2*d) to the form m*d**2 + f*d + j and give m. 6 Express -56*t**4 - 61*t**4 - t + 142*t**4 + 2*t**2 in the form m*t + d + p*t**4 + f*t**2 + y*t**3 and give p. 25 Express ((5*h - 2*h - 2*h)*(-3 - 1 + 5) + 6*h - 8*h + 9*h)*(-15*h**3 + 0*h**3 - 3*h**3) in the form u*h**2 + i*h**3 + d + y*h**4 + s*h and give y. -144 Rearrange 334*z**3 - 17*z**2 + 13*z**2 - 3 + z**2 + 3*z**2 to k + m*z**2 + t*z + i*z**3 and give k. -3 Express (-2*r**3 + 4*r**3 + r**3)*(2*r + 2*r - r) + 2*r**2 + 26*r
{ "pile_set_name": "DM Mathematics" }
/sqrt(11) + 0)**2. 4*sqrt(7) + 15 Simplify (sqrt(60)/sqrt(4)*6)/(sqrt(55)/(sqrt(11) + sqrt(22)/sqrt(2))). 12*sqrt(3) Simplify -4*(sqrt(20))**2 + 1 + sqrt(245). -79 + 7*sqrt(5) Simplify 2 + sqrt(19) + sqrt(171)/(3*sqrt(9)). 2 + 4*sqrt(19)/3 Simplify (-1*sqrt(1872))**2*2. 3744 Simplify 3*(sqrt(245) + -1)**2. -42*sqrt(5) + 738 Simplify -6*sqrt(39)/sqrt(3)*-6. 36*sqrt(13) Simplify -2*sqrt(432) - (sqrt(15)/(sqrt(5)*1))**2. -24*sqrt(3) - 3 Simplify (sqrt(1053) + 1*sqrt(1053) + sqrt(1053))**2 + sqrt(1053) + -3 + 5. 9*sqrt(13) + 9479 Simplify 3*(-2 + (sqrt(1836)/sqrt(3))**2). 1830 Simplify -4*(sqrt(32) + -5). -16*sqrt(2) + 20 Simplify (sqrt(280)/(sqrt(5)*2))/((2*sqrt(16))/sqrt(2) + sqrt(8)). sqrt(7)/6 Simplify (sqrt(7) + -2*sqrt(7)*4 + (sqrt(49) + sqrt(49) + sqrt(98)/sqrt(2))/sqrt(7))**2. 112 Simplify -6*(sqrt(363)*2 + -4)**2. -8808 + 1056*sqrt(3) Simplify (-4*(sqrt(132)*1 + sqrt(132)))/(sqrt(108)/(sqrt(9)*1)). -8*sqrt(11) Simplify 5*(0 + sqrt(162)). 45*sqrt(2) Simplify (2*sqrt(171) + 5 - (sqrt(171)*1 + 3)) + 0. 2 + 3*sqrt(19) Simplify ((sqrt(51) - (sqrt(102)/sqrt(2) - sqrt(51)))/sqrt(3) + sqrt(153) + 4)**2. 32*sqrt(17) + 288 Simplify -5*((sqrt(17) - (2 + sqrt(153))) + 1). 5 + 10*sqrt(17) Simplify (sqrt(28) - sqrt(224)/sqrt(8))**2 + -2. -2 Simplify (sqrt(19) - (sqrt(19) + sqrt(152)/sqrt(8))) + -2 - sqrt(19) - (sqrt(171) + -2)**2. -177 + 10*sqrt(19) Simplify (2 + 1*sqrt(343))**2. 28*sqrt(7) + 347 Simplify ((sqrt(24)*-2*-6)/(6*sqrt(48)/sqrt(4)))**2. 8 Simplify ((1 + sqrt(11))**2*-5 - sqrt(11)) + -5 + -3. -68 - 11*sqrt(11) Simplify -1 + (sqrt(11) + (-1*sqrt(11) + sqrt(11))*-4)**2. 10 Simplify -3*sqrt(35)/(-4*(sqrt(5) - (sqrt(5) + (sqrt(5) - 2*sqrt(5))))). 3*sqrt(7)/4 Simplify 1 + (sqrt(3) - ((sqrt(3) + 1)**2 + 2)) + 1. -4 - sqrt(3) Simplify (sqrt(153) + (sqrt(153)*1 - sqrt(153))*6 + sqrt(153))/(sqrt(9) + 2*sqrt(81) + sqrt(9)) + -3. -3 + sqrt(17)/4 Simplify (sqrt(9) - -4*sqrt(81) - sqrt(9))/(sqrt(192)/sqrt(4)). 3*sqrt(3) Simplify (-4*sqrt(190)*-2)/sqrt(10) - (sqrt(209)/(sqrt(11)*2) + 5). -5 + 15*sqrt(19)/2 Simplify ((1*sqrt(1539) + sqrt(19))*6)**2. 68400 Simplify ((sqrt(76) - (5 + -1*sqrt(76)))**2 - sqrt(76) - sqrt(76))*-1. -329 + 44*sqrt(19) Simplify ((-5*(2*sqrt(110) + sqrt(110)))/sqrt(10) + -4)**2 + -5. 120*sqrt(11) + 2486 Simplify -6*(-3 + sqrt(162)). -54*sqrt(2) + 18 Simplify -2 + sqrt(40)/(-2*sqrt(8)). -2 - sqrt(5)/2 Simplify -2*sqrt(1700)*2. -40*sqrt(17) Simplify sqrt(1216) + (sqrt(1216) + -3*(sqrt(1216) + 1) + sqrt(1216))**2 + (sqrt(19) + (sqrt(76)/sqrt(4))**2)*-4 + -1. 52*sqrt(19) + 1148 Simplify 5 + sqrt(51)/sqrt(12). sqrt(17)/2 + 5 Simplify ((sqrt(891) - -1*sqrt(891)) + sqrt(891) + -5 + -4*sqrt(11))**2. -230*sqrt(11) + 5844 Simplify ((-6*sqrt(133)*2 - sqrt(133)) + sqrt(133) - sqrt(133))/((sqrt(252)/sqrt(4))/sqrt(9) + sqrt(7)). -13*sqrt(19)/2 Simplify (sqrt(1872) - -1*sqrt(1872)) + ((sqrt(208) - (0 + sqrt(208) - sqrt(208))) + sqrt(208) - sqrt(13))**2. 24*sqrt(13) + 637 Simplify (2 + sqrt(108))**2*-1*-6. 144*sqrt(3) + 672 Simplify sqrt(22)/(sqrt(162)*2). sqrt(11)/18 Simplify (-1 + sqrt(76))**2*4. -16*sqrt(19) + 308 Simplify -5*sqrt(125) + 2*sqrt(5)*1. -23*sqrt(5) Simplify -3*(sqrt(832)*-1)**2. -2496 Simplify (((sqrt(425) + 1)*2)**2 - ((sqrt(425)*2)**2 + -1))*-4. -160*sqrt(17) - 20 Simplify ((sqrt(63) - sqrt(126)/sqrt(2))*1)/((2*sqrt(36))/sqrt(4)). 0 Simplify -6*sqrt(35)/sqrt(7) + -2. -6*sqrt(5) - 2 Simplify sqrt(2736) + 6*(1 + sqrt(2736)). 6 + 84*sqrt(19) Simplify ((0 + -1 + sqrt(153))*3)**2. -54*sqrt(17) + 1386 Simplify 4 + sqrt(76)*2. 4 + 4*sqrt(19) Simplify (sqrt(2430)*-1 - sqrt(30) - sqrt(30))/((sqrt(90) - sqrt(90)*2)/sqrt(9)). 11*sqrt(3) Simplify 2*(sqrt(11) + -3*sqrt(11))**2*-2. -176 Simplify sqrt(24)/sqrt(3) + sqrt(2) - (1*sqrt(24))/sqrt(12). 2*sqrt(2) Simplify (sqrt(78)/(1*sqrt(6)) - (sqrt(832)*1 - sqrt(832)))**2. 13 Simplify ((sqrt(7) - (sqrt(448)*-1)**2) + 0 + sqrt(343))*6 + -4. -2692 + 48*sqrt(7) Simplify (sqrt(392)*1)/(sqrt(16) - (sqrt(16) - (sqrt(16) + sqrt(96)/sqrt(6)))). 7*sqrt(2)/4 Simplify 6*2*sqrt(2) - (sqrt(8) + 3*sqrt(8) - sqrt(2)). 5*sqrt(2) Simplify -5 + (sqrt(121) - (sqrt(121) - (sqrt(121) - (sqrt(121) + 1*sqrt(121) + sqrt(121))) - sqrt(121)))/sqrt(11) + sqrt(11). -5 Simplify (6*(sqrt(700) + -4*sqrt(700)*1))**2. 226800 Simplify sqrt(243) + (sqrt(243) - (-1 + sqrt(243) + 5)) - sqrt(243). -4 Simplify sqrt(80)*6 + (sqrt(60)/sqrt(3))/sqrt(4). 25*sqrt(5) Simplify 1 + sqrt(128) + -5 + -4. -8 + 8*sqrt(2) Simplify (-3*sqrt(2)*2 - sqrt(12)/(sqrt(6) - sqrt(96) - sqrt(6)) - -4*((sqrt(22) + sqrt(22)*-1)/sqrt(11) - sqrt(2)))**2. 1521/8 Simplify ((1*sqrt(153) - sqrt(153))/sqrt(9) + 1 + sqrt(1088))**2. 16*sqrt(17) + 1089 Simplify ((sqrt(304))**2 + -5)*4 - (sqrt(38)/(sqrt(8)/sqrt(4) + sqrt(2)) - ((2*sqrt(171))/sqrt(9))**2). -sqrt(19)/2 + 1272 Simplify (sqrt(1872) + -3 + -3 + 0 + 0 + sqrt(1872))**2. -288*sqrt(13) + 7524 Simplify ((sqrt(95) - -2*sqrt(95))/sqrt(5) + sqrt(19) + 4*sqrt(76)/sqrt(4))*-3. -24*sqrt(19) Simplify 2*sqrt(208) + -3 + -1. -4 + 8*sqrt(13) Simplify ((-3*sqrt(8) - sqrt(8))/sqrt(2))/(sqrt(10)/sqrt(45)). -12*sqrt(2) Simplify ((sqrt(3) - (-2*sqrt(300) + sqrt(300)))*-4 + -1)**2. 88*sqrt(3) + 5809 Simplify (-1*sqrt(99))/sqrt(9) + 0. -sqrt(11) Simplify 4*sqrt(240)/sqrt(3). 16*sqrt(5) Simplify (sqrt(99) - (sqrt(99) - 3*sqrt(99))*6)/sqrt(9). 13*sqrt(11) Simplify -4*(3 + (2*sqrt(165)/sqrt(5))/sqrt(11)). -8*sqrt(3) - 12 Simplify 3 + sqrt(32) + 1. 4 + 4*sqrt(2) Simplify (sqrt(896)*3 + sqrt(896) + sqrt(896) - sqrt(896))/(sqrt(288)*3). 8*sqrt(7)/9 Simplify -1 + sqrt(17) + 0 - (sqrt(68)/sqrt(100))**2. -42/25 + sqrt(17) Simplify -2*(sqrt(272)*-4)**2 + sqrt(272) + -2*(2 + sqrt(272)). -8708 - 4*sqrt(17) Simplify 0 + sqrt(20) + -5. -5 + 2*sqrt(5) Simplify ((2*sqrt(245))/sqrt(7))/(-1*sqrt(5)*-1). 2*sqrt(7) Simplify (-5*-1*(-1 + sqrt(405)))**2. -450*sqrt(5) + 10150 Simplify -4*3*sqrt(1377). -108*sqrt(17) Simplify (sqrt(12)/sqrt(4) + 5)*-4. -20 - 4*sqrt(3) Simplify -2*(sqrt(500) + (sqrt(500) - (-3 + sqrt(500))))**2*-5. 600*sqrt(5) + 5090 Simplify (sqrt(432) - -1*(sqrt(432) + -1))**2. -48*sqrt(3) + 1729 Simplify sqrt(2)*-2 + -4 + sqrt(32) + 0. -4 + 2*sqrt(2) Simplify 4 + 0 + (sqrt(48) - (sqrt(96)*-2 + sqrt(96) + sqrt(96) + sqrt(96))/sqrt(2)). 4 Simplify -6*sqrt(28) + 2. -12*sqrt(7) + 2 Simplify (((sqrt(99)*2)/sqrt(9) - sqrt(11)) + -5 - ((1 + sqrt(11))*-5 + -1))**2. 12*sqrt(11) + 397 Simplify (1 + sqrt(363) + -1 + sqrt(147))**2. 972 Simplify (sqrt(4) + sqrt(72)/sqrt(2))/(sqrt(18)/sqrt(36)). 8*sqrt(2) Simplify (sqrt(76) + 5 + sqrt(19))*2*-6. -36*sqrt(19) - 60 Simplify 6*sqrt(117) - (sqrt(130)/sqrt(40))**2 - (sqrt(13) - sqrt(117)/sqrt(144) - (sqrt(13) + 1 + sqrt(13) + 3)). 3/4 + 77*sqrt(13)/4 Simplify (sqrt(288) - sqrt(288)*-3)/sqrt(6) + sqrt(48) + -1 + -5. -6 + 20*sqrt(3) Simplify 1*sqrt(19) + 5 - sqrt(38)/(1*sqrt(2)). 5 Simplify (-2*sqrt(468) + sqrt(468) + -5 + 2)**2*-6. -2862 - 216*sqrt(13) Simplify -3*(5 + 0 + sqrt(80) + sqrt(80))**2. -1035 - 240*sqrt(5) Simplify ((sqrt(1377) + sqrt(1377)*2)*4 - sqrt(1377))**2. 166617 Simplify sqrt(637) + (sqrt(637) + -2 - sqrt(637)) + -5. -7 + 7*sqrt(13) Simplify 4 + (4 + sqrt(363)*-2)**2. -176*sqrt(3) + 1472 Simplify 5 + (sqrt(26) + sqrt(26) + sqrt(26) + sqrt(208)/sqrt(8))/sqrt(2) + -4. 1 + 4*sqrt(13) Simplify 4*(1*(sqrt(3)*-1)**2 + 1 + -3 + sqrt(3)). 4 + 4*sqrt(3) Simplify 3*sqrt(26)/sqrt(2) - (sqrt(468) + -2 + sqrt(468))**2. -1876 + 51*sqrt(13) Simplify 1 + sqrt(833)*-2 - 1*sqrt(833)*-3. 1 + 7*sqrt(17) Simplify (1*1*sqrt(84))/(sqrt(12) + sqrt(72)/(sqrt(18)/sqrt(3)) + sqrt(12))*-5. -5*sqrt(7)/3 Simplify (2 + (2*sqrt(3) - sqrt(3)) + 5)**2. 14*sqrt(3) + 52 Simplify 1*6*(-5*(-3 + sqrt(19)))**2. -900*sqrt(19) + 4200 Simplify (-3*sqrt(4)*1)/sqrt(2). -3*sqrt(2) Simplify (sqrt(40) - ((2*sqrt(360) - sqrt(360)) + sqrt(360) + sqrt(40)))/sqrt(8). -6*sqrt(5) Simplify ((sqrt(612) + 0)*-6)**2. 22032 Simplify (5 + sqrt(304))*5. 25 + 20*sqrt(19) Simplify (((sqrt(5)*-2 - sqrt(5)) + 1)**2 - (sqrt(5) + 2*sqrt(5) + 3))*4. -36*sqrt(5) + 172 Simplify (-1 + ((sqrt(833) - 2*sqrt(833)) + sqrt(833))**2)*2. -2 Simplify -1*(sqrt(1008) + 3)**2. -1017 - 72*sqrt(7) Simplify (2*sqrt(486))/sqrt(2). 18*sqrt(3) Simplify sqrt(475)*1 - sqrt(209)/sqrt(396). 29*sqrt(19)/6 Simplify 1*2*sqrt(2299). 22*sqrt(19) Simplify (3 + sqrt(931) + 2 + sq
{ "pile_set_name": "DM Mathematics" }
4*k + n = -3*y. Calculate the highest common divisor of 20 and y. 20 Let p = 39 - 33. Calculate the highest common divisor of p and 48. 6 Suppose 21*d - 26*d + 70 = 0. Let s(i) = -i + 7. Let t be s(3). Let q be (2 - 10/t)*-14. What is the greatest common factor of q and d? 7 Let k be (-1 - (-19 + 0))/2. Calculate the highest common factor of 9 and k. 9 Suppose 4*y + 0*y = 3*z - 42, 15 = 5*y. Suppose -4*n + 4 = 16. Let i be n/5 - 39/(-15). Calculate the highest common factor of z and i. 2 Let f(b) = b**2 + b + 2. Let u be f(2). Suppose -3*p = 4*v - 36, 2*v + p - 12 = u. What is the highest common divisor of v and 30? 6 Suppose 4*n = -5*f - 79, -5*n - 7*f - 92 = -3*f. Let y = n - -31. What is the greatest common divisor of 105 and y? 15 Suppose 8*o - 30 = 5*p + 3*o, 2*o = 2. Let u be (p - -20)/(6/4). Calculate the highest common divisor of 10 and u. 10 Let m(b) = 3*b - 4. Let w(v) = 3*v**2 + 2*v - 2. Let d be w(-2). Let r be m(d). Let f = -39 - -109. What is the highest common factor of r and f? 14 Let n(i) = 0*i**2 + 4*i - i**2 + 2*i**2. Let c be (4/(-10))/(-6 - 455/(-75)). Let v be n(c). Calculate the highest common divisor of v and 12. 12 Let x(k) = -k**3 + 11*k**2 - 10*k + 3. Let j be x(9). What is the highest common factor of j and 30? 15 Suppose 3*t - 5*r = -r + 54, -2*t + 5*r = -43. Suppose 3*j + 2*j + 143 = 3*x, -4*x + j = -219. Calculate the highest common divisor of x and t. 14 Suppose 3*x + 2 = 4*x. Let c be ((-3)/x)/((-3)/16). Suppose 0 = -5*b + 5*q + 70, -4*b + 16 = 4*q - c. What is the highest common divisor of b and 25? 5 Suppose 0 = -3*v + 25 + 2. Calculate the greatest common factor of 1 and v. 1 Let b(f) = -111*f**3 + f**2. Suppose 4*s + 1 + 3 = 0. Let h be b(s). What is the greatest common factor of 14 and h? 14 Let c be (1 + 0)/(4/(-8)). Let l be 6/4 + (-3)/c. What is the greatest common factor of 24 and l? 3 Suppose 0*l - 468 = -4*l. Let y(v) be the second derivative of -13*v**3/6 - v. Let q be y(-1). Calculate the greatest common divisor of q and l. 13 Suppose -4*a = -4*c - 25 - 15, 38 = 3*a + c. Let z be (-110)/(-1) + 2 + -4. Calculate the highest common divisor of a and z. 12 Suppose v + 2*v - 21 = 0. Let i = 48 - 27. Calculate the highest common factor of v and i. 7 Let g be 1706/10 - (-4)/10. Let f(j) = 4*j**3 + j**2 - j + 1. Let b be f(2). Suppose -60 = -5*i + b. What is the highest common factor of g and i? 19 Let n = 43 - 19. Calculate the greatest common factor of n and 36. 12 Suppose 8*g + 154 = 10*g. Calculate the greatest common divisor of 11 and g. 11 Suppose 8*r + 10 = 9*r. Calculate the greatest common divisor of r and 20. 10 Let a(y) = -y - 5. Let s be a(-12). What is the highest common divisor of 63 and s? 7 Suppose 0 = 5*v - 2*d - 546, v - 4*d + 9*d - 120 = 0. What is the highest common factor of 22 and v? 22 Let u(l) = l**2 + 12*l + 42. Let c be u(-8). Calculate the greatest common factor of 50 and c. 10 Suppose 0 = d + 2*d - 9. Suppose -3*h + 10 - 4 = 0. Suppose -5*b = -s + 1, 0*s + 23 = h*s - d*b. What is the highest common factor of s and 8? 8 Suppose 72 = -5*v + 27. Let n be 4/(-12) - 30/v. Suppose 66 = 2*d - 4*s, n*d - s - s = 79. What is the greatest common divisor of 23 and d? 23 Let y = -24 + 87. Let n(t) = -6*t + 1. Let u(i) = 19*i - 3. Let d(v) = -7*n(v) - 2*u(v). Let m be d(2). What is the highest common divisor of m and y? 7 Let c = 9 - -6. Suppose -2*k + 24 = -2*q, c = -k + 2*k + 2*q. Calculate the greatest common factor of 104 and k. 13 Let z be 36/(-8)*(0 + (2 - 4)). Calculate the highest common divisor of z and 162. 9 Let d be 121 + ((-1)/(-1) - 1). What is the greatest common divisor of 11 and d? 11 Let m = 158 + -70. What is the highest common divisor of m and 8? 8 Suppose -5*d = -109 - 611. Let t be (-2)/(9/(-8) + 1). What is the highest common divisor of t and d? 16 Let h be (0/2*-1)/(-2). Suppose h = 4*u + y - 88, 0*u = -3*u + 3*y + 51. Calculate the highest common divisor of 3 and u. 3 Suppose -51 + 171 = 2*x - 4*p, -5*x + 4*p = -330. Calculate the highest common factor of 28 and x. 14 Suppose -5*d + 6 = 1. What is the greatest common factor of 8 and d? 1 Let f = 7 + -1. Suppose 3*z = g - 0*z - 21, 24 = g - 2*z. What is the greatest common factor of f and g? 6 Let w = -62 + 65. Calculate the highest common divisor of w and 27. 3 Let p = -1 + 1. Let k be (1 - p - -7)/1. Suppose -4*n + 199 = -89. What is the greatest common divisor of n and k? 8 Let p(z) = 10*z - 3. Let x be p(2). Let l = -4 + 4. Suppose 19 = u + 2*j - 17, -5*u - 4*j + 174 = l. Calculate the highest common factor of x and u. 17 Let g(k) = -k**3 + 3*k**2 - k - 2. Let w be g(2). Suppose -r = -w*r - 80. Calculate the highest common factor of r and 10. 10 Let p be (-257 - 3)/(-4)*(-2)/(-5). Calculate the greatest common divisor of p and 143. 13 Let q be ((1 - 9) + -1)*-23. Let u(x) = -2*x**2 + 2*x + 23. Let i be u(0). What is the greatest common divisor of i and q? 23 Let y(u) = -u**3 + 11*u**2 - 9*u - 11. Let w be y(9). Calculate the greatest common divisor of 28 and w. 14 Let c = 23 - 15. Let a(j) = -j**3 + 9*j**2 - 3*j + 10. Let q be a(c). What is the greatest common divisor of 10 and q? 10 Let c(m) = 2*m**2 - 3*m + 1. Let j be c(2). Suppose -5*s = 2*p + p - 15, 4*p + 9 = j*s. Calculate the greatest common divisor of s and 21. 3 Suppose -10*s + 7*s = -240. Calculate the highest common divisor of s and 10. 10 Suppose 0 = -5*q + a + 71, a = -4*q - 0*a + 55. Let f be (32/6)/(4/42). What is the greatest common factor of q and f? 14 Let g = -85 - -54. Let t = -17 - g. What is the highest common divisor of t and 21? 7 Suppose 0 = 10*v - 15*v + 80. Calculate the highest common factor of v and 128. 16 Let d be (81/6)/(2/(-16)). Let y be (33/(-12))/(3/d). What is the highest common factor of 11 and y? 11 Let q(w) = w**3 + 2*w**2 + 3*w - 4. Let o be q(3). Let x be 50/(9/(-15) + 1). Calculate the greatest common factor of x and o. 25 Suppose 5*p + 2*y - 28 = 0, -5*p + 3*y = -0*y - 33. Calculate the greatest common divisor of 18 and p. 6 Let j be (-1)/(-4) + (-310)/(-40). Calculate the highest common divisor of j and 8. 8 Suppose 0 = -3*f + 15, -5*a = -a - 3*f - 201. Let l(t) = -t + 5. Let i be l(-4). Calculate the greatest common divisor of i and a. 9 Suppose 0 = -5*y - 3*z + 721, 3*z - 275 = -2*y + 17. Calculate the highest common divisor of 13 and y. 13 Let o(a) = -a**3 + 12*a**2 - 4*a - 4. Let d be o(9). Calculate the highest common factor of d and 29. 29 Suppose -4*m - 3*s - 22 = 0, -m = -0*s - 4*s - 4. Let w be (m/8)/(1/(-40)). What is the highest common divisor of w and 30? 10 Suppose 20 = 3*o - 3*k + 365, 3*o + 3*k = -339. Let t be -2 + o/(-3) - 2. Calculate the greatest common divisor of 51 and t. 17 Let u(x) = x + 8. Let i be u(0). Let d = i - -10. Suppose q - 90 = -4*q. What is the highest common factor of d and q? 18 Suppose 288 = -6*s + 9*s. Let l be (6/4 + -3)*-8. Calculate the greatest common factor of s and l. 12 Let s = -9 + 17. Suppose -5*g + 96 = -g. What is the highest common factor of g and s? 8 Let f be 8 + (-3 + 2 - -3). What is the greatest common divisor of f and 30? 10 Suppose 0*i = 2*i - 114. Let v be i/9 + 4/6. Let t(g) = 22*g**2 - 1. Let y be t(-1). What is the greatest common divisor of y and v? 7 Suppose 5*y - y - 480 = 0. Calculate the greatest common factor of 12 and y. 12 Let u be -106*1/(-2) + 1. Suppose 0 = -2*x + 3*g + u, 5*x + g - 135 = 5*g. Suppose 4*y - 3*y - 9 = 0. Calculate the highest common divisor of y and x. 9 Suppose 30 = -5*x + 5*b + 5, 2*x + 2*b + 6 = 0. Let d(c) = 8*c**2 - c. Let q be d(x). Suppose -98 = -5*g - 38. What is the highest common divisor of q and g? 12 Let n(w) = w**2 - w - 3. Suppose -5*l - 2*h = h - 62, h = 5*l - 46. Let s = 7 - l. Let m be n(s). What is the greatest common factor of 9 and m? 9 Let f be (-2708)/(-36) - 2/9. What is the highest common factor of 30 and f? 15 Let g = 8 + -4. Suppose -m + 2*m + 5*p = 83, 0 = -2*m + g*p + 124. Calculate the greatest common divisor of 17 and m. 17 Let z(h) = -h**2 - 6*h - 4. Let u be z(-5). Let v be ((-74 - -2) + 1)*u. Let y be v/(-4) + (-2)/(-8). Calculate the highest common factor of 2 and y. 2 Suppose -x = -2*x. Suppose -5*y + 4*g + 215 = -306, 3*y - 3*g - 315 = x. Suppose 5*h + y - 301 = 0. What is the highest commo
{ "pile_set_name": "DM Mathematics" }
culate (0*(-4)/16)/((-28)/(-14)). 0 Evaluate (-4)/32*-2*24/48. 1/8 15*7/(-84)*(-4)/(-1) -5 What is 40/(-30)*(-18)/28? 6/7 What is 28/(-21)*(-4)/((-160)/(-12))? 2/5 Calculate (99/(-2079))/((-2)/(-24)). -4/7 Evaluate (-3*20/24)/((-10)/8). 2 0/(-2)*26/26 0 What is 10/(-4)*1768/3315? -4/3 What is 18/16*((-8)/(-6))/(-2)? -3/4 -1*18/12*(-8)/(-78) -2/13 Calculate (1/2)/(2/(60/(-3))). -5 Evaluate (4/(-22))/(4/16*-4). 2/11 Calculate 6*(-11)/((-220)/(-30)). -9 Calculate (-8)/16*2*-1. 1 Evaluate 1*(-2)/((-4)/(-18)*3). -3 ((-10)/8)/((-28)/112) 5 What is ((-1)/(-4))/((-14)/56)? -1 What is ((-9776)/1833)/((4/6)/(-1))? 8 Calculate (2*(-1)/2)/(132/(-12)). 1/11 Calculate (28/(-2))/(-5*20/(-50)). -7 What is the value of ((-2)/(-3))/1*1/(-2)? -1/3 What is the value of -4*8*2/48? -4/3 20/24*12/45 2/9 Evaluate (-432)/810*(-6)/8. 2/5 Calculate (-9)/15*(-250)/225. 2/3 Evaluate ((-6)/9)/(221/(-39)). 2/17 Evaluate ((-15)/(-70))/((-10)/20). -3/7 What is 2*((-5)/(-15))/((-2)/(-9))? 3 What is (-3)/(-6)*(-12)/9*-2? 4/3 -4*(-1)/(-10)*5/(-18) 1/9 What is the value of (-28)/770*(-15)/3? 2/11 Calculate (-4)/18*6*(-30)/220. 2/11 (0/(-55)*2/4)/(-1) 0 Calculate (486/(-72))/(-27)*(-4)/6. -1/6 What is ((8/(-2))/((-6)/(-3)))/2? -1 Calculate 427/488*6/(-21). -1/4 What is the value of 10/5*(-15)/3? -10 (-18)/(-12)*2/6 1/2 Calculate ((-3)/27*-3)/(2/6). 1 Evaluate (111/148)/((-2)/((-4)/3)). 1/2 What is the value of (-30)/8*(-44)/(-165)*-5? 5 Calculate 64/(-880)*(-10)/4. 2/11 (5/(-75))/((-13)/130) 2/3 ((-8)/28)/(((-6)/28)/1) 4/3 Calculate (45/(-30))/((9/(-12))/3). 6 Calculate (-8)/((-64)/(-20))*16/10. -4 Calculate 24/(-40)*2/3. -2/5 2/(-3)*4/(16/12) -2 What is the value of (-6)/((-9)/(-3))*90/(-300)? 3/5 What is the value of (-2*5/15)/((-20)/18)? 3/5 What is 7/(-1)*(-6)/(-21)? -2 Evaluate 1*(-3)/(-3)*-1. -1 14/12*(-10)/(-35) 1/3 (0/((-100)/(-10)))/((-2)/1) 0 What is the value of ((440/66)/(-10))/((-8)/(-6))? -1/2 ((588/(-40))/7)/((-15)/(-10)) -7/5 What is the value of (-1)/(((40/(-4))/(-5))/2)? -1 What is the value of 740/222*18/(-10)? -6 What is (3/(-51))/(6/12)? -2/17 Calculate (-6)/9*6/(-26). 2/13 Evaluate (1/14)/(1/2)*2. 2/7 What is the value of 5*2/(-4)*52/(-975)? 2/15 (-2)/(-5)*((-6)/1)/(-6) 2/5 What is (-5)/(-2)*(-40)/20? -5 What is the value of ((-2)/(-6))/((-3)/18*2)? -1 Calculate (1/1)/(136/16). 2/17 (4/6)/(36/270) 5 Calculate (-27)/6*(-112)/280. 9/5 What is 6/(-324)*6*-6? 2/3 0*(-3)/6*2/(-4) 0 Evaluate (135/(-75))/((-3)/(-10)). -6 What is (4/20)/(14/(-42))? -3/5 Calculate 0/((4/4)/((-2)/2)). 0 Calculate ((-14)/42)/(1/12). -4 Calculate ((-4)/(-6))/1*132/(-88). -1 What is the value of 1/(-3)*0/(-14)? 0 Calculate (2*(-3)/60)/(8/100). -5/4 Evaluate -1*17/(-102)*(-4)/1. -2/3 Evaluate (81/(-9))/18*0. 0 What is (((-54)/(-21))/(-9))/(9/7)? -2/9 (-1)/(-3)*18/24 1/4 Calculate (4/34)/(6/3)*-2. -2/17 What is 12/(-8)*-1*(-1)/(-3)? 1/2 Calculate ((-7)/(-140)*-2)/((-3)/(-24)). -4/5 (14/4)/(7/56*-4) -7 What is the value of (6/5)/(-1*(-12)/20)? 2 Evaluate (-18)/(-27)*3/(-4)*-14. 7 ((-3)/(6/(-1)))/((-21)/(-210)) 5 Calculate ((-45)/(-175))/((-3)/5). -3/7 Evaluate 80/140*(-4)/64*-4. 1/7 Calculate 105/(-42)*-1*2. 5 Evaluate (-2)/(1*(-6)/(-12)). -4 What is the value of (-658)/235*5/(-2)? 7 What is 17/(-34)*(-2)/(-5)? -1/5 Calculate -4*-3*(-8)/24. -4 -3*(-5)/(-75)*(-8)/(-2) -4/5 Evaluate 26/195*4/((-8)/(-6)). 2/5 Calculate ((-98)/1176)/((2/6)/1). -1/4 What is ((33/(-75))/(-11))/((-9)/(-15))? 1/15 Calculate 336/(-56)*(7/6)/7. -1 Evaluate (((-3)/6)/1)/(2/4). -1 What is (6/7)/((-9)/(63/(-2)))? 3 Evaluate (24/18)/((-1)/((-15)/4)). 5 What is ((-1)/(-1))/(1/(66/11))? 6 Calculate 35/(-28)*28/7. -5 Calculate ((-3)/(-22))/(6/(-24)*3). -2/11 What is the value of ((-6)/15)/((-7)/(-5))? -2/7 What is the value of ((-20)/(-210))/((-6)/9)? -1/7 Evaluate 2*-5*23/(-276). 5/6 Evaluate -2*(-3)/(-8)*-4. 3 What is the value of (-9)/(-18)*-2*3? -3 What is (86/215)/(6/21)? 7/5 ((-3)/(-42)*7)/2 1/4 What is the value of (-2*(-4)/(-20))/(4/(-5))? 1/2 (-12*18/324)/(1/(-1)) 2/3 What is the value of (-40)/5*(-2)/8*-2? -4 Calculate 55/(-33)*24/(-10). 4 (25/(-50))/(4/(-32)) 4 Evaluate 20/30*33/22. 1 (0*2/(-14))/(-1) 0 Calculate (-6)/(-5)*-3*40/36. -4 What is (5/(-5))/((18/(-6))/3)? 1 Calculate ((-39)/52)/(3/(-2)). 1/2 Evaluate (32/416)/((-12)/(-26)). 1/6 What is ((-78)/(-65))/((-7)/5)? -6/7 What is the value of ((-10)/6)/((-18)/270*5)? 5 What is the value of (2*10/6)/(2/3)? 5 What is the value of -21*10*(-10)/(-600)? -7/2 What is (-147)/(-14)*1/(6/(-4))? -7 Calculate 19/(-57)*(-6)/8. 1/4 Evaluate (-2)/21*1344/768. -1/6 What is the value of -5*3/15*-2? 2 Calculate 36/(-72)*(-8)/6. 2/3 -2*35/14*-1 5 Evaluate (-15)/(-6)*(-12)/135. -2/9 -2*(-3)/20*30/(-54) -1/6 What is the value of (-36)/15*(-210)/63? 8 Evaluate (15/3)/((-30)/(-18)). 3 What is the value of 9/(-4)*-3*4/54? 1/2 What is (-2)/14*38/19? -2/7 Calculate ((-42)/(-56))/(((-3)/(-2))/(-3)). -3/2 Evaluate ((-3)/((-126)/3))/((-1)/2). -1/7 Evaluate 5/((-25)/(-5))*24/8. 3 (0*(-7)/35)/2 0 What is the value of ((-1)/(-12))/(3/(-6))*4? -2/3 ((-12)/48)/(1/(-12)) 3 Calculate (-1)/(-1)*2/(-6). -1/3 ((-1)/(-2))/(((-4)/(-8))/1) 1 Calculate (1/(-6))/(180/108). -1/10 Evaluate ((-3)/((-9)/(-2)))/((-12)/(-9)). -1/2 Evaluate (-4)/(-36)*-1*(-3)/(-2). -1/6 What is the value of -1*3*(-35)/(-105)? -1 What is the value of 4*((-104)/52)/(1*2)? -4 What is (8/20)/(3/15)? 2 What is the value of (108/(-270))/(2/(-15))? 3 Evaluate (-1)/((-10)/(-16))*180/(-72). 4 -3*2/13*(-299)/(-92) -3/2 Calculate -3*((-48)/(-8))/108. -1/6 Calculate (-56)/16*8/4*1. -7 What is 21/(-14)*(-20)/6? 5 ((90/12)/(-15))/(-2) 1/4 What is (-3)/2*(-400)/120? 5 What is 18/(-24)*(-1)/(-1)? -3/4 ((-2)/8)/(441/392) -2/9 ((27/9)/18)/((-2)/(-4)) 1/3 Calculate -1*2*14/28. -1 Calculate (176/110)/(4/(-10)). -4 Evaluate -1*1/(-2)*(-48)/8. -3 (-27)/(-90)*4/3 2/5 -6*10/(-12)*1 5 Evaluate 21/(-14)*(-4)/(-1). -6 3*2/(-12)*(-2)/1 1 Evaluate (21/294)/((-1)/(-2)). 1/7 Calculate ((-2)/(-7))/((-3)/21). -2 What is ((32/6)/2)/6? 4/9 ((-4)/((-24)/(-2)))/((-3)/3) 1/3 What is the value of (18/(-21))/(48/(-42))? 3/4 Evaluate 3/(-27)*(-1)/(-1). -1/9 What is (3/(3/2))/((-3)/(-6))? 4 Evaluate (3/(-2)*-1)/(5/2). 3/5 (1*-2)/(-7*(-14)/(-245)) 5 What is the value of (1/(-15))/((-20)/(-40))? -2/15 What is ((-9)/(-6))/1*(-1)/6? -1/4 Calculate 7/((-560)/(-8))*-8. -4/5 What is the value of 70/(-21)*(-3)/(-1)? -10 What is the value of 1/(9*5/315)? 7 What is (((-2)/2)/(-1))/1? 1 (4/56)/(7*9/147) 1/6 1/(3/(9/(-3)))*-1 1 What is the value of (-18)/4*(-12)/36? 3/2 What is (3/(18/(-4)))/(72/(-54))? 1/2 ((-10)/(-10))/(2/6) 3 Evaluate (1*8)/(136/34). 2 Calculate -4*9/24*4/3. -2 What is the value of (-3)/(((-132)/(-16))/11)? -4 What is the value of 8/(-100)*(-150)/20? 3/5 What is (-636)/106*(-1)/(-4)*-2? 3 15/9*12/10 2 Evaluate 12/6*-1*5. -10 What is the value of 1/(-4)*-2*30/6? 5/2 What is the value of ((-11)/(-22))/(1/2)? 1 Evaluate (-8)/(4/1)*(-1)/3. 2/3 (-10)/(-15)*18/240*4 1/5 Calculate ((-6)/(-6))/((-13)/(-104)). 8 What is the value of -1*((-2)/4)/(25/(-50))? -1 Evaluate -4*35/56*2. -5 What is the value of (-2)/(-2)*218/763? 2/7 What is 10/20*-4*1? -2 What is ((-5)/(-15))/(3/3)? 1/3 Evaluate 15*(20/36)/((-115)/(-69)). 5 4/6*24/(-104) -2/13 ((-2)/(-5))/((-3)/3) -2/5 What is ((55/(-20))/(-11))/((-1)/(-16))? 4 What is the value of (-8)/(-3120)*13*-2? -1/15 What is ((-1)/1)/((-9)/18)? 2 (-786)/(-524)*(8/6)/2 1 What is the value of 6/(-8)*(16/12)/4? -1/4 Calculate 3/3*50/225. 2/9 2/10*(25/4)/(-5) -1/4 What is the value of (8/(-5))/((-4)/5)? 2 What is the value of 2/(-24)*1548/(-903)? 1/7 What is (-1)/(8*(-27)/(-144))? -2/3 (9/(81/(-3)))/(1/9) -3 What is ((-2)/(-16))/(45/30)*2? 1/6 Calculate 4/((-12*(-6)/9)/2). 1 Evaluate (-6)/108*-6*6/4. 1/2 What is 9/(-6)*(600/18)/(-10)? 5 Evaluate (-25)/60*6/(-15). 1/6 What is 31/(-62)*2/(-1)? 1 What is 8/(-12)*4/(-24)*-9? -1 Evaluate ((-18)/(-12))/((-48)/32). -1 (15/1980*6)/(1/12) 6/11 1/(16/(-24))*5/6 -5/4 Calculate ((-4)/((-2)/(-1)))/2. -1 Evaluate 5/(-15)*(-24)/(-1). -8 1/((-28)/(-8))*-2 -4/7 What is the value of (49/882)/(2/(-8))? -2/9 ((-3)/4)/(5/20) -3 Calculate (-5)/((12/4)/(3/1)). -5 What is the value of 48/(-9)*33/44? -4 (5/5)/(((-3)/(-3))/(-1)) -1 What is the value of (260/(-325))/(4/10)? -2 Calculate 2*5/2*(-9)/15. -3 1/((-
{ "pile_set_name": "DM Mathematics" }
56 - -271). Suppose -k - 4*i - 2 = 0, -i = -2*k + 4*k - 3. Sort h, 1, -4, k in descending order. h, k, 1, -4 Suppose k - 8 = -2. Suppose -24*q + 10252 = 10324. Suppose -2 = 2*w + 4*o, -o + 1 = 2*w + 2*o. Put k, w, q in decreasing order. k, w, q Let v = -155.9 - -283.2. Let w = v + -127. Sort w, 160, -1/5 in decreasing order. 160, w, -1/5 Let u = 4 - 5. Suppose -4312 = -12*m + 23*m. Let v be 2 + -5 - m/(1 + 6). Sort -2, u, v. -2, u, v Let l be 465/(-80) - (-78)/(-416). Put 29, 5, l in increasing order. l, 5, 29 Let w = -3.1 - -3. Let y = -110957 - -110957.1. Put w, y, -1.3, -4 in ascending order. -4, -1.3, w, y Let v = 22479/2 + -11238. Put 0.5, -1/7, v, -1793/3 in descending order. v, 0.5, -1/7, -1793/3 Let c = -106.384 - -106. Let s = -828.116 + 828. Let o = c + s. Sort o, -5/4, -5/3. -5/3, -5/4, o Let v = -37932 - -37933.5. Put v, -3, 0.5, 0, -2 in increasing order. -3, -2, 0, 0.5, v Let r = -4384 + 4384. Sort 0.3, -34, r, 3 in ascending order. -34, r, 0.3, 3 Let x(n) = 3*n**2 - 57*n - 1. Let s(z) = z**3 - 10*z**2 - 22*z - 5. Let j be s(12). Let q be x(j). Put 12, q, -5 in increasing order. -5, q, 12 Suppose 0 = -4*g - 20, 2*a - 2 = -g - 5. Suppose 0 = 40*k + 19*k - 17*k - 168. Put a, 8, k in decreasing order. 8, k, a Suppose -709*j + 110 = -687*j. Put j, 12, 0.2, -0.1 in ascending order. -0.1, 0.2, j, 12 Let a be 31/(-4) + 3 + 17/(-68). Let l be 8/a + 4/(-10). Sort -24, -5, 1, l in descending order. 1, l, -5, -24 Let r = -42994 + 43025. Sort 568, 0.5, r in increasing order. 0.5, r, 568 Let q be (3 - (4 - 16/18))*-35. Let r = -32/9 + q. Put 1, -2, r in decreasing order. 1, r, -2 Let x(o) = o**3 - 5*o**2 - 88*o + 441. Let y be x(5). Sort -4, -5, y, 14 in increasing order. -5, -4, y, 14 Let q be (-3)/6*-2 - 5. Let v(l) = -l**3 - 3*l**2 + 9*l + 19. Let x be v(q). Put -1/4, -1/2, x in increasing order. x, -1/2, -1/4 Let u be ((-297)/6)/9*-10. Let b = u - 64. Let x be 6/b*((-315)/6)/(-7). Put -0.5, x, -1/4 in increasing order. x, -0.5, -1/4 Let b = 0.0027 - 315.0027. Let x = -315.5 - b. Sort 1/3, -1/3, x, 2 in ascending order. x, -1/3, 1/3, 2 Let b = -0.2745 - -2.2745. Put b, -284, 3/8 in ascending order. -284, 3/8, b Suppose 0 = 23*z + 17*z - 4120. Put -2, z, -3 in increasing order. -3, -2, z Suppose 7*f = -1043 + 1064. Sort 0, -75, f, -3, -4 in decreasing order. f, 0, -3, -4, -75 Let c = 87 + -82. Let w = -0.017 + -42.983. Let u = w + 43.3. Sort c, 2, u in descending order. c, 2, u Let h = -17434 - -17442. Let t = 1 + -1.06. Sort t, -0.2, h in ascending order. -0.2, t, h Let f = 123.9 + -109. Let u = -14.96 + -0.04. Let y = u + f. Sort y, 0, -5, -1. -5, -1, y, 0 Let j be -1*5/(-2)*(9 + -17). Put -2, 30, j in ascending order. j, -2, 30 Suppose -4*j + 172*k + 14 = 170*k, 5*j = 5*k + 20. Sort j, 1, -250, 5 in ascending order. -250, 1, j, 5 Let g = -19 - -19.03. Suppose 0 = -33*v - 133 + 166. Sort 3/5, -2, g, v in descending order. v, 3/5, g, -2 Let t(h) = -h**3 + 10*h**2 + 9*h + 7. Suppose 63 = 6*w - 3. Let i be t(w). Let b be ((-4)/i)/((-4)/(-12)). Put b, -2, 1/2, -3/2 in descending order. b, 1/2, -3/2, -2 Let s = 0.032674 + -120.032674. Let p = 227/1085 - 2/217. Sort p, -3/7, s in decreasing order. p, -3/7, s Let g(u) = u**2 - u - 4. Let x be g(3). Suppose -144*c - 107 = 5*v - 148*c, 3*v - 5*c + 85 = 0. Sort v, -4, x in descending order. x, -4, v Let a = -6806 - -6359. Put 2, -0.2, 4/5, a in increasing order. a, -0.2, 4/5, 2 Let n = 12.2 - 104.2. Let h = 95 + n. Let c = -1 + 0.8. Put h, 2/5, c in descending order. h, 2/5, c Suppose -59*o - 45*o + 223*o - 357 = 0. Sort -1, 1/4, o, 5 in decreasing order. 5, o, 1/4, -1 Let l(u) = u**2 + 20*u - 34. Let j be l(-22). Suppose j*a = 7*a - 222. Let n = 74 + a. Put -2, n, -5, -4 in ascending order. -5, -4, -2, n Let d(u) = -u**3 - 5*u**2 + u + 12. Let t be d(-5). Let q(h) = -2*h**2 + 15*h - 3. Let f be q(t). Put -7, f, -1 in increasing order. -7, -1, f Let z(w) = w**2 - 2. Let o(r) = 5*r**2 + 19*r - 65. Let n(a) = -o(a) + 6*z(a). Let b be n(4). Sort b, 4, -3 in descending order. 4, -3, b Let i = -409 - -410. Put 0.084, 3/4, i, 0 in decreasing order. i, 3/4, 0.084, 0 Let n(f) = f**2 - 2*f - 1. Let c be n(-1). Let y(b) be the second derivative of b**5/20 - 2*b**4/3 + 2*b**3/3 + 21*b**2/2 - 13*b. Let h be y(7). Sort 3, h, c. h, c, 3 Let y = -9.333 + 9.083. Sort y, 31, -3/7. -3/7, y, 31 Let k(d) = 250*d + 497. Let a be k(-2). Sort a, -4, 2, 59 in descending order. 59, 2, a, -4 Let u = 600.9 - 599.9. Sort -1/2, 2/9, u, 1/3, 0.2 in increasing order. -1/2, 0.2, 2/9, 1/3, u Let b(q) = -q**2 + 30*q - 32. Let k be b(29). Let p be (3 - (-12)/k)*1. Put -3, 0, p, 14 in decreasing order. 14, 0, p, -3 Suppose -2*m + 0*m = -88. Suppose 12*l - m = l. Let z be (55/l)/5 + 3/12. Sort z, -8, -2 in descending order. z, -2, -8 Let r = 388 + -387.7. Let d = -0.7 - -0.3. Let l = 499 - 504. Sort r, l, d, 1. l, d, r, 1 Let p = 0.1 - 0.12. Let z = p + -0.38. Let f = 2.39 - 6.39. Put 5, -0.9, f, z in decreasing order. 5, z, -0.9, f Let q(l) = -17*l - 235. Let m be q(-14). Suppose -m*u - c = 4, c - 5*c - 5 = u. Suppose 10 = 3*d + 2*d. Put 3/8, -0.5, d, u in decreasing order. d, 3/8, -0.5, u Let l(j) = -j**2 + 8*j + 21. Let f be (-132)/(-3) - (3 - -2). Let d be 896/91 - (-6)/f. Let z be l(d). Put -6, -5, z, 3 in decreasing order. 3, z, -5, -6 Let s = 7.33 + -7.73. Let c = -1.4 - -1.9. Sort s, -1/3, c, -5 in descending order. c, -1/3, s, -5 Suppose 0 = -i + 4*i + 3. Suppose -4*d - 9 = 4*h - 1, -d - 14 = -5*h. Sort 3, h, -5, i in increasing order. -5, i, h, 3 Let j = 0.369 + -0.069. Suppose -b + 91 = 4*a - 85, -12 = -3*b. Suppose n = -3*t + 43, 4*n - 17 = -4*t + a. Put j, -3, t in increasing order. -3, j, t Let s be (-9)/4 + 609/116. Sort 5, 14, s, -6. -6, s, 5, 14 Let n = 4 + -3. Suppose -247 - 325 = -2*j. Let o = j + -284. Sort o, -4, n, -3 in ascending order. -4, -3, n, o Suppose 2*h + 30 = -5*o, -3*h - 25*o + 29*o = -1. Let c = 17 - 8. Sort c, h, -4. h, -4, c Let t = 27 + -51. Let m = 13 + t. Let s = 54481 + -54478. Sort -1/3, s, -2, m in ascending order. m, -2, -1/3, s Let y = 23193 + -23191. Suppose 0 = -3*d + 2*d + 4. Sort d, y, 1, -4 in increasing order. -4, 1, y, d Suppose -26 = 9*z + 1234. Let u = z - -701/5. Sort 0.5, -2/17, u in descending order. 0.5, u, -2/17 Suppose -155*h + 79 = -541. Put 6, -3, h, 0, -2 in decreasing order. 6, h, 0, -2, -3 Let q be (16/(-30))/((-15)/(-25)*130/117). Sort 3/2, q, 0.4, -3, -3/521 in descending order. 3/2, 0.4, -3/521, q, -3 Let d = 32 - 32. Suppose s - z = -16, d = 2*s - s + 3*z + 28. Let v = s + 23. Put 2, -31, v in increasing order. -31, 2, v Let u = 80 + -72. Suppose 0 = 4*q + 4 - u. Suppose -19 = 3*y + 4*v, -y + 0*v = -v - 3. Put -3, y, q in ascending order. -3, y, q Let c = 771.76 + -773. Let h = c - -6.24. Sort h, 0.3, 8/25, 2. 0.3, 8/25, 2, h Let u = -33166 - -99499/3. Put -10/9, -6/113, u in increasing order. -10/9, -6/113, u Suppose 0 = 2*q - 8*q + 18. Let w be -10 + (29/5 - q/(-15)). Put w, 4, 15 in increasing order. w, 4, 15 Suppose -23*n = -2*n - 189. Let j be 6/n - 66/18. Let d(g) = -g + 1. Let q be d(3). Put j, q, -1 in descending order. -1, q, j Suppose -6*n = -n + 300. Let g = 60 + n. Suppose g = 3*c + c + 2*a + 10, -a - 11 = 4*c. Put c, -2, -4 in descending order. -2, c, -4 Let l = -479.92 - -479.9. Let p be -1 + 2 - (-8)/16. Sort -2, p, l in increasing order. -2, l, p Let b = 12 - 8. Let c = 324075 - 324074. Sort b, c, 0.6 in increasing order. 0.6, c, b Let r = 4915 + -4914.6. Let p = 1.5 - -2.5. Sort r, p, -9, 5 in decreasing order. 5, p, r, -9 Suppose -361 = -82*c - 124*c + 51. Let b be 8*(15/6)/5. Sort c, 1, -8, b. -8, 1, c, b Suppose -2*u - 126 = 3*v, 450*u + 3*v = 446*u - 228. Put 5, -4, -1, u in ascending order. u, -4, -1, 5 Let j = 2242.2 - 2242. Sort 1/3, j, 9/38, -1/7. -1/7, j, 9/38, 1/3 Let f be -1*15/(-6)*32/120. Let h = 3278 - 3277.7. Put h, -0.0584, f in decreasing order. f, h, -0.0584 Let y be (1737/(-21) - -6) + 1. Let m = y + 76. Sort -1/2, -11, -2, m in increasing order. -11, -2, -1/2, m Let j = -15 + 1. Suppose -5*t - o + 21 = 0, t + 3*o + 0*o = -7. Suppose 3*s = 9, 0 = 2*y - s + 6*s - 19. Sort t, j, -1, y in decreasing order. t, y, -1, j Suppose -5 + 57 = 48*t - 236. Let b be (18/(-12))/(14/4). Suppose -10 = -r + 3*g, -3*r + 0*r + 4*g = -15. Sort b,
{ "pile_set_name": "DM Mathematics" }
0.06 (e) -5 (f) -2617 f Which is the seventh smallest value? (a) 3/7 (b) -3 (c) 3/4 (d) 1/5 (e) -9/364 (f) 13/3 (g) 0.5 f Which is the fourth biggest value? (a) 83462/5 (b) 3/7 (c) -0.5 (d) -2.45 d What is the third biggest value in -19, 2483/5, -34? -34 What is the second biggest value in -97, -11, -4, -1/48? -4 Which is the fourth biggest value? (a) 0 (b) 148 (c) 0.3 (d) 0.2 (e) 415 d What is the smallest value in -6820, 8, 41? -6820 What is the smallest value in -0.003, -2, -2547162? -2547162 What is the fifth smallest value in -1, 0.04, -0.2, 0, 6417, 1? 1 What is the third biggest value in 0.04, 74/5, -3, 0.5, 0, -5, 1? 0.5 What is the second smallest value in 4/5, 39/203, -3/5, 1/5? 39/203 Which is the biggest value? (a) 7 (b) -0.3 (c) 0 (d) 17482 d What is the third smallest value in -283130, -5, -8? -5 What is the fourth smallest value in -15, -2, -15.84, 3, 0, 0.05? 0 Which is the fourth biggest value? (a) 13 (b) 0 (c) 115.42 (d) 1/4 b What is the seventh biggest value in 0.5, 0.1, -2, -24, 1, -3067, 3? -3067 Which is the second biggest value? (a) 0.1 (b) -19724 (c) 240/7 (d) -4 a What is the second smallest value in 3, 10, 2.9, 0.2238? 2.9 Which is the second smallest value? (a) -0.2 (b) 0.012 (c) 4/19 (d) 17/13 (e) -5 a Which is the second smallest value? (a) 0.075 (b) 2/11 (c) 0.4 (d) -2/77 (e) -1/2 d What is the second biggest value in 38631, 3, -3/8, -3/10, -3, -6/5? 3 What is the sixth biggest value in 60, 1, 7, 4, 0.9, -13? -13 What is the smallest value in -2/3, -2/7, -4, 603, 4, 5, -24? -24 Which is the fourth biggest value? (a) -0.7 (b) -30 (c) 0 (d) 1/34 (e) 14 (f) -38 a Which is the fourth smallest value? (a) -0.1 (b) 4/91 (c) -8 (d) 1.3 (e) -2/7387 b Which is the biggest value? (a) 7/12 (b) 9.5 (c) -153 b Which is the third biggest value? (a) -234/31 (b) 1/5 (c) 0.12 (d) -5.5 d What is the fourth smallest value in 24/473, -1/124, -0.1, 15? 15 Which is the biggest value? (a) 3/25 (b) -1245 (c) -5/72 a Which is the second smallest value? (a) -0.4 (b) 17 (c) 367193 b Which is the sixth biggest value? (a) 6 (b) 2 (c) -9 (d) 882 (e) -3/5 (f) -0.1 (g) -0.2 e What is the third biggest value in -4/5, 9802, 0.551, -5? -4/5 Which is the third smallest value? (a) -10/41 (b) 69 (c) -3/5 (d) 3/25 d Which is the third smallest value? (a) 49 (b) 149 (c) 6 (d) 10/7 a What is the smallest value in -1, 3/4, -481, 4, -11996? -11996 What is the third biggest value in -3, 187051/4, 1/5, 0.5, -5/22? 1/5 What is the smallest value in -0.5, -3/8389, -8, -5, -1/5? -8 Which is the third smallest value? (a) 0 (b) 3 (c) 2 (d) 0.162 (e) -25 d Which is the second smallest value? (a) -3/7 (b) -896 (c) -1/6 (d) -2/529 (e) 4 a What is the second biggest value in -5, -16, -1, 0.15, 0.11, 4/3, 3/19? 3/19 What is the biggest value in 5, 3, 2, -9, 97, -22? 97 What is the fourth smallest value in 8531/3, -16, 0.19, 0? 8531/3 Which is the smallest value? (a) -1/18 (b) -0.16 (c) -0.11 (d) 10 (e) -1/4 (f) 3/2 e Which is the smallest value? (a) 23 (b) -624 (c) -32 b What is the fifth smallest value in -1/9, -19.2, -718, -4, -0.1? -0.1 Which is the smallest value? (a) 1.3 (b) -1 (c) 2/3 (d) -148 (e) 29 d What is the seventh biggest value in 5, -5, 4/7, -3, -2057, 28, 1? -2057 Which is the fifth smallest value? (a) -1/8 (b) 5 (c) -0.3 (d) 9 (e) -7859 (f) 1/5 b What is the sixth biggest value in -121, -84, -1/13, -19, -5, 1? -121 Which is the smallest value? (a) 4 (b) -11/4 (c) -63317 (d) 5 c Which is the fourth smallest value? (a) -5/6553 (b) 0.063 (c) -6 (d) 4 d Which is the second smallest value? (a) 2 (b) -0.78 (c) 2.5 (d) 4 (e) -1/5 (f) 1/5 (g) 0.01 e Which is the third biggest value? (a) -3/8 (b) -30504 (c) -5 (d) 3/5 c Which is the second biggest value? (a) 3238 (b) 0 (c) -2 (d) 288 (e) -1 d What is the biggest value in 6/5, 12, -136080, -0.3? 12 What is the second biggest value in 7, -0.7, 1.03? 1.03 What is the fifth smallest value in -2/75, 13, 4/5, 0.5, 33? 33 Which is the fifth smallest value? (a) 231 (b) 1 (c) 1/37 (d) -1/5 (e) 93 a Which is the fourth smallest value? (a) 13 (b) -1/5 (c) 5 (d) -1 (e) -3/2 (f) 0.4 (g) -5 b Which is the fifth smallest value? (a) 19 (b) -237/2 (c) -2 (d) 0.4 (e) 5.3 a What is the seventh biggest value in 2/5, -1/24, 9/5, -2/25, 3/2, -1, -0.01? -1 What is the biggest value in 13/2973, 4, 3/7, 6/7? 4 Which is the smallest value? (a) 627/8 (b) -24/41 (c) -2/41 b What is the biggest value in 1274, -0.42, 0.2? 1274 Which is the third biggest value? (a) 0.1 (b) 6/11 (c) -0.122 (d) -1.25 c Which is the smallest value? (a) 117/10 (b) 1/8 (c) -277.135 c Which is the third smallest value? (a) 21/13 (b) 710 (c) -0.1 (d) -29 a What is the second smallest value in -0.5, 0.6, -0.2, 2/41, 3/2, -2041? -0.5 What is the sixth smallest value in -44/7, -1, -2/5, 0.1, -5/2, 21, 0.2? 0.2 Which is the sixth smallest value? (a) -1 (b) 0 (c) -202 (d) 15 (e) -2 (f) 624/5 f What is the biggest value in -6, 2/139, -0.3, -2, -1, 5, 5842? 5842 What is the smallest value in 3/107, -0.09, -4/227? -0.09 Which is the smallest value? (a) 2684712 (b) 5 (c) 0.1 c What is the second smallest value in 13712, -3/8, -1282? -3/8 What is the third smallest value in 2/9, 4, 2, -3, 75643, 0.3? 0.3 What is the biggest value in -31, -1/5, 2/37, 4/7, -0.1, -3/5, 1? 1 Which is the sixth biggest value? (a) -6 (b) -2 (c) -1/3 (d) -6/11 (e) 3/8 (f) 11 (g) 0 b What is the third smallest value in 1, 2040/257, 0? 2040/257 Which is the sixth biggest value? (a) -0.5 (b) 5 (c) -0.07 (d) -3/46 (e) -0.27 (f) -2/35 a What is the fourth smallest value in 0, -4/9, -4/5, -4182? 0 What is the smallest value in 3, 2/9, -0.1, 2/5, -3269, -4, 1/10? -3269 Which is the biggest value? (a) -97582/147 (b) -0.5 (c) 3 c Which is the fourth smallest value? (a) 1/8 (b) -11 (c) -4 (d) -0.03 (e) 964 a Which is the smallest value? (a) -2/113 (b) -1770 (c) 18 b What is the second biggest value in 1373/7854, -2/5, 3? 1373/7854 Which is the fourth biggest value? (a) -0.1 (b) -0.2 (c) -4 (d) -1298/141 d Which is the third biggest value? (a) -0.486 (b) -13 (c) 2566 b What is the fifth smallest value in 5, 0.17, -2/15, 3/7, -2? 5 What is the third smallest value in -4/5, -7, 4, 158036, -0.2? -0.2 Which is the fifth smallest value? (a) 726 (b) -0.1 (c) -2 (d) -4 (e) 2/7 (f) -1138 (g) 7 e What is the fifth biggest value in -97/6, -2/3, 6, 0.3, -0.2, 10, 2/15? -0.2 What is the second biggest value in 244.83, -0.17, -1/5, 14.8? 14.8 What is the seventh biggest value in 0.18, -2/11, 1/4, 2, 2/3, 2/21, 24? -2/11 What is the second biggest value in 12, 0.03275, 3? 3 Which is the fifth biggest value? (a) 0.12 (b) 5 (c) -3/7 (d) 14 (e) 9 (f) 3 a What is the fifth smallest value in -446148, 10, -1/8, -3/8, 0.3? 10 Which is the fourth smallest value? (a) -31 (b) -13.9 (c) -0.02 (d) 0 (e) -5 (f) 4 c Which is the biggest value? (a) 699274 (b) 5 (c) -3 (d) -0.2 a What is the third biggest value in -4, -12, 1/2, -1, -2, -4883? -2 What is the smallest value in 176, 1/7, -2442? -2442 What is the second smallest value in -0.0529, -3, -28, -6/5, -2/3, -1/4, -3/7? -3 What is the third biggest value in -0.2, -9418, 1/26128? -9418 What is the fifth smallest value in 14/5, 3, -0.5, -2/285, 0? 3 Which is the second biggest value? (a) -2/7 (b) -0.08 (c) -3 (d) -212 (e) 4 (f) 2/7 (g) 27/2 e Which is the fifth smallest value? (a) -3.1 (b) -6/31 (c) 7 (d) 2 (e) 11 e What is the smallest value in 67, 3, 12260.7? 3 Which is the fifth smallest value? (a) 2/15 (b) -2/9 (c) -0.5 (d) -3 (e) -20896 (f) 1/3 a Which is the fourth biggest value? (a) 1 (b) -11 (c) 8 (d) 1977 (e) -0.5 (f) 4 a What is the seventh smallest value in 2, 9, -37, -3/7, 0, -20.7, -2/11? 9 What is the fourth smallest value in 22788, -3/5, -3, 0.165? 22788 What is the third biggest value in 6, 6348, 21? 6 Which is the third biggest value? (a) -0.3 (b) 3/19 (c) 839 (d) 14 b What is the fourth biggest value in 13, 6/5, 12.84, 0.3, 2? 6/5 Which is the third biggest value? (a) -2 (b) 4/13 (c) 2/11 (d) -4.121 (e) 0.3
{ "pile_set_name": "DM Mathematics" }
nd derivative of d(b). Let m(k) = -9*k. What is m(j(a))? 18*a Let f(h) be the third derivative of h**4/24 - 5*h**2. Let j(k) = -2*k. Let p(i) = 4*f(i) + j(i). Let s(y) = -8*y. Calculate s(p(b)). -16*b Let c(q) be the third derivative of -q**5/12 - 14*q**2. Let t(p) = -8*p. Determine c(t(a)). -320*a**2 Let u(z) be the second derivative of 5*z**3/6 - 7*z. Let a(j) be the first derivative of 0*j + 2 - 1/2*j**2. Determine a(u(m)). -5*m Let t(s) = 3*s. Let k be (-6)/9 + 14/(-6). Let p = 5 + k. Let a(q) = p*q - 2*q + q**2. Determine t(a(r)). 3*r**2 Let a(o) be the first derivative of -o**2 - 1. Suppose -5*m = -2*p + 48, -p + 4*m = 7*m - 2. Let l(c) = 20 + 3*c - p - 6. Give l(a(x)). -6*x Let s(u) = u**2. Let c(t) be the first derivative of 37*t**2/2 - 10. What is c(s(j))? 37*j**2 Let j(s) = 10*s. Let l(p) = 5*p**2 + 7*p + 7. Let a(c) = 2*c**2 + 3*c + 3. Let h(r) = 7*a(r) - 3*l(r). Determine h(j(v)). -100*v**2 Let z(w) be the first derivative of w**2 - 2. Let b(g) = 3*g. Let p(r) = 7*r - 2 + 2. Let k(u) = 5*b(u) - 2*p(u). Give z(k(v)). 2*v Let i(y) = 10*y + 7. Let u(w) = 6*w + 4. Let v(s) = 4*i(s) - 7*u(s). Let p(j) be the third derivative of -j**4/24 + j**2. What is v(p(g))? 2*g Let i(r) = 3*r**2. Let v(m) = 180*m**2. Calculate i(v(z)). 97200*z**4 Let b(n) = 27*n. Let g(l) be the first derivative of -2*l**3/3 - 15. Calculate b(g(u)). -54*u**2 Let p(m) = -m**2. Let x(c) = -2*c**2 - 7. Determine p(x(g)). -4*g**4 - 28*g**2 - 49 Let o(w) = 10*w - 9. Let k(u) = -9*u**2. Give o(k(p)). -90*p**2 - 9 Let r(b) = 1 - 1 - 2*b**2. Let a(w) = -w - 2. Let c(o) = -3*o - 5. Let n(q) = 10*a(q) - 4*c(q). Give r(n(m)). -8*m**2 Let n(k) = -16*k. Let o(q) = 37*q**2 + 40*q**2 - 80*q**2. Give n(o(u)). 48*u**2 Let f(p) = -16*p**2 + 6*p**2 - 3*p**2 + p**2. Let x(c) = 2*c. Calculate f(x(h)). -48*h**2 Let f(l) = 23*l + 2. Let m(b) = 15*b**2. What is m(f(z))? 7935*z**2 + 1380*z + 60 Let y(a) = -4*a**2. Let c(r) = 6*r**2 + 66*r - 66*r. Give c(y(i)). 96*i**4 Let s = -3 - -9. Suppose j - 3*p = -4, p + s = 2*j + 2*j. Let x(r) = r**2 - 2*r**2 + r**2 - j*r**2. Let o(y) = -8*y. Determine o(x(z)). 16*z**2 Let q(r) = -2*r. Suppose 0 = 4*f - 4, d - 3 = f - 0. Suppose 2*t - 2 - d = 0. Let z(l) = -5*l + t*l - l. Calculate q(z(y)). 6*y Let x(c) = -21*c**2. Let i(n) = 29*n. What is x(i(m))? -17661*m**2 Let l(f) = 6*f**2. Let r(p) = 2*p + 552. Determine l(r(k)). 24*k**2 + 13248*k + 1828224 Let l(r) = -r. Let d(n) = 623*n - 25. Calculate d(l(c)). -623*c - 25 Let s(w) = w. Let b be 4 + -6 + 4/2. Suppose -2*z - 2 + 10 = b. Let g(c) = -4 + z + 2*c + 0*c. What is s(g(n))? 2*n Let w(z) be the second derivative of -3*z**4/2 + 25*z. Let h(b) = -3*b. Give h(w(u)). 54*u**2 Let z(p) = 7*p**2. Let y(t) = 6*t + 1. Determine y(z(i)). 42*i**2 + 1 Let m(u) = -25*u**2. Let j(c) = 5*c**2. Let b(a) = -26*a**2. Let d(t) = -3*b(t) - 16*j(t). Calculate d(m(n)). -1250*n**4 Let o(w) = w. Let x(g) = -1753*g. Determine o(x(s)). -1753*s Let d(k) = -2*k**2. Let s(j) be the first derivative of -3*j**2/2 - 6. Determine d(s(v)). -18*v**2 Let a be 0/(-6 + 3) - -4. Let b(v) = -a*v + v + v. Let z(y) = 3*y**2. Determine z(b(j)). 12*j**2 Let f(x) = 2*x. Let b(l) = 2*l**2 + 9*l - 1. Calculate f(b(c)). 4*c**2 + 18*c - 2 Let r(g) = 6 - 6 - 2*g. Let p(j) be the third derivative of 7*j**5/60 - 5*j**2. Give p(r(x)). 28*x**2 Let c(t) = 145*t + 1. Let b(g) = g**2. Give c(b(s)). 145*s**2 + 1 Let k(l) = -4*l**2 + l**2 + l**2. Let w(n) be the second derivative of -n**6/240 + n**4/12 - n. Let a(b) be the third derivative of w(b). Calculate k(a(x)). -18*x**2 Let c(o) be the third derivative of -o**5/60 + 2*o**2. Let j(d) = -3*d. What is c(j(i))? -9*i**2 Let h(w) = -2*w. Let a(f) = -17*f**2. Determine a(h(v)). -68*v**2 Let p(f) = -21*f. Let u(n) = 3*n. Let g(t) = -2*p(t) - 15*u(t). Let o(w) = -5*w. Determine o(g(q)). 15*q Let l(i) be the second derivative of -i**4/12 - i. Suppose -5*c + 3*c = -2. Let t(h) = 1 - c + h + h. Give t(l(a)). -2*a**2 Let o(j) = j**2. Let u(k) = -3725*k**2. Determine o(u(n)). 13875625*n**4 Let j(p) = 8*p. Let c(b) = -8*b. Let t(l) = 5*c(l) + 6*j(l). Let v(i) = i**2 + 0*i**2 - 3*i**2. Calculate v(t(o)). -128*o**2 Suppose -2*s = 3*g - 14, -5 - 17 = -3*g - 4*s. Let h(q) = -g + 2 - q**2. Let i(n) = n**2 + n. Let j(a) = -6*a. Let y(m) = 6*i(m) + j(m). What is y(h(d))? 6*d**4 Let s(u) be the third derivative of 0*u**4 - 1/60*u**5 + 0*u - 8*u**2 + 0 + 0*u**3. Let q(n) = 0*n**2 + 0*n**2 - 5*n**2. Calculate s(q(t)). -25*t**4 Let b(c) = 16*c**2 + 10*c. Let l(o) = 5*o**2 + 3*o. Let i(g) = -3*b(g) + 10*l(g). Let a(d) = -7*d**2 + 2*d**2 + 0*d**2 - 4*d**2. Calculate i(a(r)). 162*r**4 Let k(a) = 2*a**2. Let l(n) be the third derivative of 0*n**4 + 0*n + 0*n**3 + 3*n**2 + 1/20*n**5 + 0. Calculate l(k(v)). 12*v**4 Let b(j) = 3*j. Let h(c) be the second derivative of -c**5/30 + c**2 + 5*c. Let y(p) be the first derivative of h(p). Calculate b(y(m)). -6*m**2 Let v(h) = 10*h + h + 23*h. Let g(k) = 2*k**2. Determine v(g(p)). 68*p**2 Let p(k) be the second derivative of -k**4/6 - 7*k. Let y(i) be the second derivative of -i**4/4 - i. Determine p(y(h)). -18*h**4 Let s(j) = 2*j**2. Suppose a = -4*a + 10. Let r(w) = 31*w + 11. Let y(q) = 6*q + 2. Let m(u) = a*r(u) - 11*y(u). Calculate m(s(x)). -8*x**2 Let b(h) = 8*h**2. Let m(y) be the third derivative of y**5/30 - 11*y**2. Calculate b(m(i)). 32*i**4 Let t(x) = -2*x**2. Let f(g) be the first derivative of 3*g**2 + 10. Calculate f(t(c)). -12*c**2 Let h(s) = s**2. Let k(q) = -6*q + 17*q**2 - 6*q + 12*q. Calculate k(h(l)). 17*l**4 Let h(d) = -3*d. Let o(g) = 2*g**2 + 406. Give o(h(m)). 18*m**2 + 406 Let d(u) = 35*u**2. Let z(o) = 21*o**2. Calculate d(z(j)). 15435*j**4 Let c(j) = -3*j. Suppose 5*n + g + 3 = 14, -3*n - 3 = 3*g. Let p(l) = 5*l + 2*l - n*l - 3*l. What is p(c(t))? -3*t Let h(q) = -3*q**2 + 3*q. Let c = 12 - 8. Let n(p) = 4*p**2 - 3*p**2 - c*p**2 + 2*p. Let g(m) = -2*h(m) + 3*n(m). Let j(d) = 2*d. What is g(j(v))? -12*v**2 Let c(q) = 2*q**2 - 5. Let p(z) = -6*z**2 + 16. Let f(u) = -16*c(u) - 5*p(u). Let r = 3 - 1. Let v(b) = 1 + 2*b**r - 1. Determine v(f(a)). 8*a**4 Let x(j) = j**2. Suppose 6 = 4*o - 2. Let m(l) = -o*l**2 - 2*l**2 - 2*l**2 + 3*l**2. Determine x(m(d)). 9*d**4 Let b(s) be the first derivative of -s**3 + 7 + 2*s**3 - 4 - 13. Let f(r) = -3*r. Give b(f(l)). 27*l**2 Let q(l) = 9*l**2. Let z(x) be the third derivative of -1/24*x**4 + 0 - 9*x**2 + 0*x**3 + 0*x. Give q(z(u)). 9*u**2 Let s(u) = -4 + 4*u**2 + 0 + 4. Let n(t) = -t**2. What is n(s(l))? -16*l**4 Let j(s) = 48367*s**2. Let c(v) = v**2. Give j(c(n)). 48367*n**4 Let b(m) = m**2 + 2*m - 2. Let n(f) = 6*f**2 + 13*f - 13. Let x(y) = 39*b(y) - 6*n(y). Let v(t) = 34*t**2 - 66*t**2 + 34*t**2. Give x(v(i)). 12*i**4 Let o(q) = -4*q. Let l(g) = 7*g. Calculate o(l(k)). -28*k Let w(z) = 3*z**2 + 4*z. Let q(p) = p**2 + p. Let h(c) = -4*q(c) + w(c). Let g(i) be the third derivative of -i**4/6 + 3*i**2. Determine h(g(s)). -16*s**2 Let l(x) = 2*x. Let z(h) = 2*h**2 - h + 11. Determine l(z(o)). 4*o**2 - 2*o + 22 Let q(z) = 4*z**2. Let f(u) be the second derivative of u**6/180 + 2*u**3/3 - 4*u. Let r(s) be the second derivative of f(s). Determine q(r(o)). 16*o**4 Let l(q) be the second derivative of q**3/3 - 2*q. Let o(x) = -2*x. What is l(o(r))? -4*r Let l(q) = -8*q. Let d(a) = -91*a**2. What is d(l(m))? -5824*m**2 Let w(s) be the second derivative of s**3/6 - 11*s. Let z(d) = 2*d. Determine z(w(r)). 2*r Let g(m) = 3*m - 10. Let h be g(4). Let n(v) = -28*v**h - 37*v + 37*v. Let i(y) = -y. Give n(i(f)). -28*f**2 Let z(a) = a. Let r = 0 - -2. Suppose -4*q + 2*q = 0. Let c(l) = -r*l + l**2 + 2*l + q*l**2. Determine z(c(m)). m**2 Let d(y) = 40*y**2 - 2*y. Let u(b) = -6*b. Calculate u(d(r)). -240*r**2 + 12*r Let a(f) = 11*f**2 - 3*f. Let w(j) = 10*j. Give a(w(m)). 1100*m**2 - 30*m Let r(l) = -31*l**2. Let k(j) = -4*j**2 + 15. Determine r(k(c)). -496*c**4 + 3720*c**2 - 6975 Let a(x) be the third derivative of -x**4/6 - 5*x**2. Let j(t) be the first derivative of -t**3/3 + 3. Calculate j(a(y)). -16*y**2 Let m(y) = y. Let i(b) = 10*b - 5. Let c(u) = 15*u - 7. Suppose 5*z - 2 = 33. Let s(a) = z*i(a) - 5*c(a). Determine s(m(q)). -5*q Let a(h) = 2923*h - 518. Let f(p) = 34*p - 6. Let i(o) = 3*a(o) - 259*f(o). Let r(q) = -q. Calculate r(i(
{ "pile_set_name": "DM Mathematics" }
Calculate g*z(y) + 2*u(y). -3*y**2 - 12*y + 1 Let w be -1 - 1 - -6*(-12)/(-18). Let n(b) = -b**w - 9 + 23 - 13 - 5*b. Let h(l) = 1. What is -h(g) - n(g)? g**2 + 5*g - 2 Let s(g) = -30*g**3 - 4616*g**2. Let z(b) = 7*b**3 + 1154*b**2. Calculate -2*s(y) - 9*z(y). -3*y**3 - 1154*y**2 Let a(x) = x**2. Suppose -20 = 5*z - 4*y, -24*z + 5*y + 4 = -25*z. Let u(w) = -10*w**2. Give z*u(c) - 20*a(c). 20*c**2 Let i(b) = 10*b**3 + 5*b**2 + 3. Let y(a) = 7*a**3 + 7*a**2 + 3*a + 4. Determine -3*i(n) + 2*y(n). -16*n**3 - n**2 + 6*n - 1 Let j(z) = -9*z + 13. Let v(t) be the second derivative of 2*t**3/3 - 7*t**2/2 - 2305*t. Calculate 3*j(c) + 5*v(c). -7*c + 4 Let s(q) be the first derivative of 2*q**2 - q - 22. Suppose -3*g = -7*g + 3*x + 29, 5*x = -2*g - 5. Let r(k) = g - 12 + 5 + 1. What is -3*r(t) + s(t)? 4*t + 2 Suppose -5*b = 4*v - 48, -99*v = 2*b - 98*v - 15. Let t(m) = m**3 + 2*m**2 - 5*m + 5. Let g(n) = n**3 + n**2 - 4*n + 6. What is b*g(c) - 3*t(c)? c**3 - 2*c**2 - c + 9 Let u(o) = 7*o**3 - 15*o**2 - 7*o + 47. Let x(j) = -4*j**3 + 9*j**2 + 3*j - 21. Give 6*u(d) + 10*x(d). 2*d**3 - 12*d + 72 Let m(w) = 4*w + 5. Let s(t) be the second derivative of 13/6*t**3 + 0 + 15/2*t**2 + 94*t. What is 7*m(r) - 2*s(r)? 2*r + 5 Let h(y) = 574*y - 283*y - 8*y**2 + 8 - 284*y - 3 + 2. Let m(r) = 7*r**2 - 6*r - 6. Calculate 6*h(q) + 7*m(q). q**2 Let r(k) = -75*k - 802. Let i(x) = -13*x - 134. Calculate -23*i(j) + 4*r(j). -j - 126 Let t(q) = -67*q - 361. Let v(k) = 103*k + 542. Calculate -8*t(x) - 5*v(x). 21*x + 178 Let u(c) = -10*c - 11. Let v(x) = 26 + 23 - 45 + 5 + 7 + 15*x. What is 7*u(o) + 5*v(o)? 5*o + 3 Let a(s) = -29*s**2 + 25*s. Let v(k) be the third derivative of -7*k**5/60 + k**4/4 + 1387*k**2. What is 2*a(u) - 9*v(u)? 5*u**2 - 4*u Let y(z) be the second derivative of -z**4/4 + z**3/3 - 2*z. Let i(u) = u**2 - u + 1. Let a = 181 + -178. Let k be (3/(-2))/a*(85 + -81). What is k*i(x) - y(x)? x**2 - 2 Let i(b) = 12*b + 30 + 25*b - 15*b. Let s be i(-5). Let x = s - -75. Let r(v) = -3*v**2 - 14*v + 5. Let j(o) = -2*o**2 - 9*o + 3. What is x*r(k) + 8*j(k)? -k**2 - 2*k - 1 Let t(c) = -c + 34. Let v(u) = 3*u + 121. Give 3*t(j) + 3*v(j). 6*j + 465 Let k(j) = -j + 1. Let r(a) = -a + 1. Let m(u) = -2*u**2 + 31*u - 25. Let h be m(14). Suppose -5*b - 3 = h. Give b*k(q) + 2*r(q). 2*q - 2 Let z(a) = -9*a + 14. Suppose 0 = -u + 2, 0*x - 2*u = x - 10. Let q(b) = -8*b + 13. Let l(w) = 2*w**3 + 2*w - 7. Let i be l(0). What is i*q(v) + x*z(v)? 2*v - 7 Let g(c) = 483*c**2 - 8*c + 18. Let f(s) = -12*s**2 - s + 1. Give -10*f(j) + g(j). 603*j**2 + 2*j + 8 Let g(t) = -214*t - 1289. Let s be g(-6). Let b(c) = -7*c**2 + 1. Let r(z) = 22*z**2 - 4. Give s*r(x) - 16*b(x). 2*x**2 + 4 Let b(i) = -8*i - 25. Let k(g) = -6*g - 18. Let r(o) = -5*b(o) + 7*k(o). Let w(h) = -4 + 1 - h + 6*h + 6. Give -7*r(p) - 3*w(p). -p - 2 Let o(n) = -n + 2. Let b(i) = 124 + 125 + 128 - 374. Give -2*b(j) + 3*o(j). -3*j Let d(j) = -j**3 - 3*j**2 - 3*j - 2. Let z(q) = 3*q**3 + 7*q**2 + 7*q + 5. Suppose -7*s = -8*s + 4. Let x be (-38)/(-2) - (-209 + 218). What is s*z(o) + x*d(o)? 2*o**3 - 2*o**2 - 2*o Let z(k) = 3514*k + 68. Let a(i) = 702*i + 13. Give 26*a(u) - 5*z(u). 682*u - 2 Let x be 13/4 - (-9790)/(-7832). Let p(o) = o + 0 + 1 + 0*o. Let j(b) = 2*b**2 + 7*b. What is x*p(n) - j(n)? -2*n**2 - 5*n + 2 Let i(w) = -w + 12. Let q(s) = 11*s - 45. Let n(t) = 28*t - 244 + 33 + 19*t + 33. Let b(p) = -2*n(p) + 9*q(p). Calculate -2*b(f) - 9*i(f). -f - 10 Let x(r) = 82*r**2 + 7*r + 23. Let j(s) = 39*s**2 + 3*s + 11. Determine -5*j(m) + 2*x(m). -31*m**2 - m - 9 Suppose -4*h - a = -8*h + 8, 4*a = 0. Let f(q) = 5*q - 3 + 8 - q**2 - 4*q**2 + h*q**2. Let c(v) = -375*v + 2 + 1 - 2*v**2 + 378*v. Calculate -10*c(p) + 6*f(p). 2*p**2 Let t(v) = 4*v - 555. Let s be t(140). Let r(a) = 19*a**2 + 4*a - 2. Let h(d) = 37*d**2 + 9*d - 5. Give s*r(l) - 2*h(l). 21*l**2 + 2*l Let d(h) = -133*h**2 - 10. Let y(v) = 137*v**2 + 8. Calculate 7*d(s) + 6*y(s). -109*s**2 - 22 Let x(s) = -4*s**2 + 2*s - 3. Let l(k) = 29*k - 1 - 83*k - k**2 + 25*k + 0*k**2 + 28*k. Calculate -3*l(j) + x(j). -j**2 + 5*j Let r(i) be the third derivative of -19*i**4/8 - 5*i**3/6 + 2*i**2 - 12*i + 83. Let y(h) = -57*h - 6. Determine 7*r(a) - 6*y(a). -57*a + 1 Let f(y) = 6*y**3 + 15*y - 1. Let x(q) = 18*q**3 + 43*q - 3. Give 17*f(w) - 6*x(w). -6*w**3 - 3*w + 1 Let k(r) = 6*r + 1. Let v(u) be the second derivative of -u**5/20 - u**2/2 - 26*u. Suppose 3*b - 4*q + 15 = 0, -2*b + q = -b + 4. Determine b*v(o) - k(o). o**3 - 6*o Let n(v) be the third derivative of -2*v**5/15 - 3*v**4/8 + v**3/2 - 5483*v**2. Let m(w) = 9*w**2 + 9*w - 4. Give 5*m(l) + 6*n(l). -3*l**2 - 9*l - 2 Suppose -t - 3 = 6*c - c, 6 = 4*t + 2*c. Let v(f) = -t*f**2 + 1681 - 845 - 841 + 3*f. Let o(g) = 0*g**2 + 2*g - g**2 - g - 2. Give -5*o(n) + 2*v(n). n**2 + n Let o(z) = 23*z**2 + 5*z + 9. Let g(s) = -120*s - 166*s + 1 + 3 + 288*s + 12*s**2. Determine 5*g(d) - 2*o(d). 14*d**2 + 2 Let g(v) = -v - 4. Let q(l) = -15 - 4*l - 3*l + 3*l. Suppose 4*c - 30 = 5*z, 45*c = z + 46*c + 6. Let b = 37 + -15. What is b*g(o) + z*q(o)? 2*o + 2 Let l(y) = -y**2. Let x(h) = h**2 + 1. Suppose 7*d + 339 - 360 = 0. Calculate d*l(a) - x(a). -4*a**2 - 1 Let v(i) = 2*i**2 - i - 3. Let r = -481 + 487. Let u(s) be the second derivative of s**4/6 - 2*s**2 - 3*s - 2. Determine r*v(y) - 5*u(y). 2*y**2 - 6*y + 2 Let r(w) = -19*w**2 - 4*w + 9. Let u(p) = 13*p**2 + 3*p - 6. Suppose -327 = 8*h - 383. Determine h*u(a) + 5*r(a). -4*a**2 + a + 3 Let v = 1575 + -1578. Let j(f) = f**2 - 5*f - 11. Let z(x) = -3*x - 5. What is v*j(b) + 5*z(b)? -3*b**2 + 8 Let v(t) = 6294*t - 17. Let c(x) = -4194*x + 12. What is -10*c(z) - 7*v(z)? -2118*z - 1 Let f(a) = 578*a**3 + 45*a**2 + 5*a - 1. Let k(o) = 867*o**3 + 72*o**2 + 8*o - 2. Determine -8*f(z) + 5*k(z). -289*z**3 - 2 Let f(m) = 1306*m + 50. Let l(o) = 1307*o + 38. Determine -3*f(a) + 4*l(a). 1310*a + 2 Let k(u) = 8*u. Let y(o) = 915*o**2 + 8*o - 1. Give k(t) - y(t). -915*t**2 + 1 Let d(k) = 3*k**3 - 2*k**2 + 70*k + 56. Let h(z) = z**3 + z**2 + z + 14. Give d(l) - 4*h(l). -l**3 - 6*l**2 + 66*l Let f(m) = -3*m**3 + 6*m**2 + 6*m - 3. Let t(h) = -4*h - 14*h**2 + 25*h**2 + 0*h - 12*h**2 + 3*h. Calculate f(o) + 6*t(o). -3*o**3 - 3 Suppose -117 - 2 = -7*h. Let a = 31 + -2. Let l(f) = -3*f + a - h - 10. Let p(b) = b. Calculate -l(z) - 5*p(z). -2*z - 2 Let z(p) = -2*p**2 + 18*p - 6. Let b(i) = i**2 - 10*i + 3. Determine 5*b(q) + 3*z(q). -q**2 + 4*q - 3 Let a(h) = 4*h**3 - h**2. Let b = -3 - 2. Suppose -o = 5*v - 18, -6 = 2*o - 4*v - 0*v. Let l(g) = g**2 - 11*g**3 + 9*g**3 - 4*g**o. What is b*l(i) - 7*a(i)? 2*i**3 + 2*i**2 Suppose 0 = -3*a + 4*z - 14, -2*a - 280*z = -284*z + 12. Let t(u) = -14*u**2 - 3*u. Let n(x) = -141*x**2 - 30*x. Give a*n(d) + 21*t(d). -12*d**2 - 3*d Let f(q) = -11*q - 3. Let s(x) = 8*x + 595. Let c(u) = u - 42. Let l(z) = 14*c(z) + s(z). What is -5*f(p) - 2*l(p)? 11*p + 1 Let p(u) = 5*u + 4. Suppose -3*t = -d + 13, 93*d - 4*t = 97*d + 12. Let o(x) = -x. Calculate d*p(k) + 2*o(k). 3*k + 4 Let k(x) = 47*x - 169. Let s be k(10). Suppose 290*l = s*l - 44. Let q(f) = -f**2 + f - 1. Let i(v) = 8*v**2 - v + 4. Give l*q(n) + i(n). 4*n**2 + 3*n Let w(m) = -m + 2. Let f(q) be the second derivative of -q**3/3 + 2*q**2 - 196*q + 1. Give -6*f(k) + 10*w(k). 2*k - 4 Let x(w) = 1 + 42*w - 97*w + 54*w. Let i(p) = -4*p**2 - 10*p + 2. Let a(d) = -5*d**2 - 11*d + 1. Let v(n) = 5*a(n) - 6*i(n). Determine v(b) + 5*x(b). -b**2 - 2 Let s(g) = -g**2 - 260*g - 2732. Let f be s(-11). Let v(z) = 2*z + 10. Let j(c) = -2*c - 10. Calculate f*j(r) + 6*v(r). -2*r - 10 Let c(z) = -z**2 + 2*z + 1. Let q = 0 + -2. Let p(w) = 21*w**2 + 3*w + 378. Let a(n) = 25*n**2 + 4*n + 454. Let i(y) = 5*a(y) - 6*p(y). What is q*i(k) + 3*c(k)? -k**2 + 2*k - 1 Let d(c) = -161*c**2 - 1850. Let y(h) = -295*h**2 - 3700. Calculate -11*d(i) + 6*y(i). i**2 - 1850 Let a = 2 - 8. Let z(m) = -m**3 - 2*m**2 + 2*m + 2. Let q(j) be the first derivative of -j**4/4 - j**3 + 3*j**2/2 + 3*j + 203. Calculate a*z(v) + 4*q(v). 2*v**3 Let g(t) = -3*t**2 - 5*t - 157. Let h(r) = 2*r**2 + 2*r - 1. Determine g(s) + 2*h(s). s**2 - s - 159 Let r(l) = 2*l - 39. Let u(s) = -13*s + 196. Let b(a) = 10*r(a) + 2*u(a). Let j(y) = 2*y - 1. Give -4*b(v) - 11*j(v). 2*v + 3 Let
{ "pile_set_name": "DM Mathematics" }
8, -700, -898? 3*a**3 - 43*a**2 + 2*a - 10 What is the m'th term of -2312, -2999, -3686, -4373, -5060? -687*m - 1625 What is the w'th term of -14606, -14602, -14570, -14498, -14374, -14186, -13922? 2*w**3 + 2*w**2 - 16*w - 14594 What is the p'th term of 201, 762, 1697, 3006, 4689, 6746, 9177? 187*p**2 + 14 What is the l'th term of 477, 4304, 14827, 35394, 69353, 120052, 190839, 285062? 558*l**3 - 79*l - 2 What is the w'th term of -382, -744, -1090, -1420? 8*w**2 - 386*w - 4 What is the w'th term of -8793, -8756, -8683, -8556, -8357? 3*w**3 + 16*w - 8812 What is the d'th term of -271572, -543143, -814716, -1086291, -1357868, -1629447? -d**2 - 271568*d - 3 What is the l'th term of -456590, -913180, -1369770, -1826360? -456590*l What is the r'th term of 1826, 3702, 5622, 7592, 9618, 11706, 13862? r**3 + 16*r**2 + 1821*r - 12 What is the a'th term of 14201, 28407, 42633, 56885, 71169, 85491, 99857? a**3 + 4*a**2 + 14187*a + 9 What is the y'th term of -197, -245, 659, 3319, 8539, 17123, 29875? 134*y**3 - 328*y**2 - 2*y - 1 What is the p'th term of -1656, -3275, -4894, -6513, -8132, -9751? -1619*p - 37 What is the s'th term of 23, 8, 13, 50, 131? 2*s**3 - 2*s**2 - 23*s + 46 What is the s'th term of -620, -2009, -4054, -6749, -10088? s**3 - 334*s**2 - 394*s + 107 What is the c'th term of -397318, -794641, -1191964, -1589287? -397323*c + 5 What is the i'th term of -147955, -147933, -147911, -147889? 22*i - 147977 What is the q'th term of 158, 187, 242, 335, 478, 683, 962, 1327? 2*q**3 + q**2 + 12*q + 143 What is the g'th term of -89, 6, 431, 1348, 2919, 5306, 8671? 27*g**3 + 3*g**2 - 103*g - 16 What is the m'th term of 465, 408, 321, 204, 57, -120? -15*m**2 - 12*m + 492 What is the h'th term of -1196, -1161, -1128, -1097? -h**2 + 38*h - 1233 What is the l'th term of -26729, -26727, -26725? 2*l - 26731 What is the s'th term of 828, 2944, 7626, 16158, 29824, 49908? 214*s**3 - s**2 + 621*s - 6 What is the y'th term of -3051, -6105, -9159, -12213? -3054*y + 3 What is the g'th term of 3851, 8385, 12917, 17447? -g**2 + 4537*g - 685 What is the z'th term of 70, 319, 976, 2245, 4330, 7435, 11764, 17521? 34*z**3 + 11*z + 25 What is the u'th term of -295831, -591662, -887493? -295831*u What is the q'th term of 263, 500, 767, 1070, 1415, 1808, 2255, 2762? q**3 + 9*q**2 + 203*q + 50 What is the l'th term of 6148, 24613, 55388, 98473, 153868? 6155*l**2 - 7 What is the o'th term of 1893603, 1893598, 1893591, 1893582? -o**2 - 2*o + 1893606 What is the u'th term of 6238, 6257, 6312, 6421, 6602? 3*u**3 - 2*u + 6237 What is the q'th term of 410, 852, 1302, 1760, 2226, 2700, 3182? 4*q**2 + 430*q - 24 What is the j'th term of 18386, 36775, 55164, 73553, 91942? 18389*j - 3 What is the g'th term of 3336, 6650, 9964, 13278, 16592, 19906? 3314*g + 22 What is the z'th term of -2880, -5762, -8654, -11562, -14492? -z**3 + z**2 - 2878*z - 2 What is the i'th term of -468, -973, -1478, -1983, -2488? -505*i + 37 What is the n'th term of -596, -1234, -1920, -2654, -3436, -4266, -5144? -24*n**2 - 566*n - 6 What is the i'th term of -94901, -94905, -94909, -94913, -94917? -4*i - 94897 What is the h'th term of -33513, -67026, -100543, -134064, -167589? -2*h**2 - 33507*h - 4 What is the j'th term of -90505, -181013, -271523, -362035, -452549, -543065? -j**2 - 90505*j + 1 What is the f'th term of -8996, -18220, -27454, -36704, -45976, -55276, -64610, -73984? -f**3 + f**2 - 9220*f + 224 What is the l'th term of -15896, -15901, -15906, -15911? -5*l - 15891 What is the j'th term of -355, -394, -433? -39*j - 316 What is the o'th term of -13, 126, 439, 992, 1851, 3082? 11*o**3 + 21*o**2 - o - 44 What is the u'th term of -26, -65, -176, -395, -758? -6*u**3 + 3*u - 23 What is the u'th term of 2573, 5149, 7725, 10301, 12877, 15453? 2576*u - 3 What is the b'th term of -97689, -195380, -293071, -390762? -97691*b + 2 What is the u'th term of 11251, 11254, 11257, 11260? 3*u + 11248 What is the f'th term of -857, -1734, -2621, -3518? -5*f**2 - 862*f + 10 What is the h'th term of -1195, -1193, -1181, -1153, -1103, -1025, -913, -761? h**3 - h**2 - 2*h - 1193 What is the s'th term of 3302, 6579, 9856, 13133, 16410? 3277*s + 25 What is the o'th term of -1604, -2869, -4136, -5405, -6676, -7949, -9224? -o**2 - 1262*o - 341 What is the y'th term of 32, 77, 132, 203, 296, 417? y**3 - y**2 + 41*y - 9 What is the g'th term of -329740, -329741, -329742, -329743, -329744? -g - 329739 What is the n'th term of 2702, 3967, 7402, 14093, 25126, 41587, 64562? 181*n**3 - n**2 + n + 2521 What is the j'th term of 18713, 37425, 56137, 74849, 93561, 112273? 18712*j + 1 What is the z'th term of 442, 399, 348, 283, 198, 87? -z**3 + 2*z**2 - 42*z + 483 What is the u'th term of 42412, 42412, 42414, 42418? u**2 - 3*u + 42414 What is the s'th term of -3132, -5690, -8246, -10800, -13352? s**2 - 2561*s - 572 What is the y'th term of 5985, 6310, 6635, 6960? 325*y + 5660 What is the l'th term of -2526, -2534, -2532, -2514, -2474, -2406, -2304, -2162? l**3 - l**2 - 12*l - 2514 What is the q'th term of -1771, -1775, -1789, -1825, -1895, -2011, -2185? -2*q**3 + 7*q**2 - 11*q - 1765 What is the f'th term of 8788, 17580, 26370, 35158, 43944, 52728? -f**2 + 8795*f - 6 What is the z'th term of 192, 1493, 5018, 11877, 23180, 40037, 63558? 185*z**3 + 2*z**2 + 5 What is the i'th term of 1045, 2072, 3095, 4114, 5129, 6140, 7147? -2*i**2 + 1033*i + 14 What is the h'th term of 108591, 108583, 108561, 108519, 108451, 108351? -h**3 - h**2 + 2*h + 108591 What is the a'th term of 1724, 3466, 5208, 6950? 1742*a - 18 What is the p'th term of 763, 1580, 2413, 3268, 4151, 5068, 6025? p**3 + 2*p**2 + 804*p - 44 What is the f'th term of -40575, -81151, -121727, -162303? -40576*f + 1 What is the d'th term of -14970, -14974, -14978, -14982? -4*d - 14966 What is the i'th term of 166, 452, 858, 1384, 2030, 2796? 60*i**2 + 106*i What is the o'th term of -413, -841, -1261, -1673, -2077, -2473? 4*o**2 - 440*o + 23 What is the h'th term of 1157, 1154, 1157, 1172, 1205, 1262? h**3 - 3*h**2 - h + 1160 What is the q'th term of -2330, -2801, -3274, -3749, -4226, -4705, -5186? -q**2 - 468*q - 1861 What is the b'th term of 18, -37, -112, -195, -274, -337? 2*b**3 - 22*b**2 - 3*b + 41 What is the o'th term of -1520, -6044, -13584, -24140? -1508*o**2 - 12 What is the l'th term of -157, -1224, -4101, -9688, -18885, -32592, -51709, -77136? -150*l**3 - 5*l**2 - 2*l What is the n'th term of -1842, -7173, -15984, -28281, -44070, -63357, -86148? -n**3 - 1734*n**2 - 122*n + 15 What is the i'th term of 4048, 4050, 4056, 4066, 4080, 4098? 2*i**2 - 4*i + 4050 What is the j'th term of 745, 1530, 2315, 3100, 3885, 4670? 785*j - 40 What is the p'th term of 8077, 8094, 8131, 8194, 8289, 8422? p**3 + 4*p**2 - 2*p + 8074 What is the m'th term of 1325, 1334, 1341, 1346, 1349, 1350, 1349? -m**2 + 12*m + 1314 What is the n'th term of -29, -33, 37, 241, 639? 10*n**3 - 23*n**2 - 5*n - 11 What is the a'th term of -441519, -883036, -1324553, -1766070, -2207587, -2649104? -441517*a - 2 What is the p'th term of 36, 37, 36, 33? -p**2 + 4*p + 33 What is the c'th term of 35496, 35498, 35500, 35502, 35504, 35506? 2*c + 35494 What is the o'th term of -5144, -10287, -15430? -5143*o - 1 What is the a'th term of 3971743, 3971747, 3971753, 3971761, 3971771, 3971783, 3971797? a**2 + a + 3971741 What is the g'th term of 5493, 10999, 16527, 22089, 27697? 2*g**3 - g**2 + 5495*g - 3 What is the v'th term of 23820, 47617, 71416, 95217, 119020, 142825, 166632? v**2 + 23794*v + 25 What is the o'th term of 185044, 185045, 185046, 185047, 185048, 185049? o + 185043 What is the k'th term of 279, 893, 1825, 3057, 4571? -3*k**3 + 177*k**2 + 104*k + 1 What is the i'th term of -234, -546, -1018, -1728, -2754, -4174, -6066? -13*i**3 - 2*i**2 - 215*i - 4 What is the b'th term of 6750, 6748, 6746? -2*b + 6752 What is the m'th term of -76, -123, -176, -235, -300, -371, -448? -3*m**2 - 38*m - 35 What is the k'th term of -4548, -9075, -13598, -18117, -22632, -27143? 2*k**2 - 4533*k - 17 What is the f'th term of -210, -365, -534, -723, -938? -f**3 - f**2 - 145*f - 63 What is the n'th term of -46184, -92326, -138468, -184610? -46142*n - 42 What is the a'th term of -32, -44, -84, -170, -320, -552, -884? -3*a**3 + 4*a**2 - 3*
{ "pile_set_name": "DM Mathematics" }
3 - v. Sort 2, 5, b in descending order. 5, b, 2 Let i = -0.04 - -0.04. Let g be (-1)/1*(-24)/40. Sort g, -2, i in decreasing order. g, i, -2 Let v = -3 - 0. Suppose 0 = -2*k + 6, b + 3*k = 10 - 2. Sort b, v, 4 in increasing order. v, b, 4 Let o(i) = i**3 - i**2 - i - 2. Let k be o(2). Suppose k*p - 10 = 2*p. Sort 1, -3, p in decreasing order. 1, -3, p Suppose -2 = -3*s - 14. Let y = s + 4. Sort 0.5, y, 4. y, 0.5, 4 Suppose -4*m - 2 = j + m, 5*m = 2*j - 11. Let t be j/(-2)*8/(-66). Put 4, -0.2, t in descending order. 4, t, -0.2 Let x be 1 + -2 - 3/(-6). Put 2, -0.4, x in increasing order. x, -0.4, 2 Let s = 0.2 - -0.3. Let o be 2/(-2) - (-12)/(-6). Let d be 12/(-28)*1/o. Sort s, d, -1 in increasing order. -1, d, s Let g = -3.6 + 2.6. Put 0.5, 0.4, g in decreasing order. 0.5, 0.4, g Let f = 179302/63 + -21114/7. Let a = f + 170. Let s = 0.7 + -0.3. Sort 4/5, s, a. a, s, 4/5 Let f = -5 + 11. Suppose 4*y + 4 = 0, 0*n + 4*n + 2*y - f = 0. Suppose 5*l + 3 = 8*l. Sort l, 0, n in descending order. n, l, 0 Suppose 5*k + 35 = -5*m, -m - 5*k - 13 - 14 = 0. Sort -5, 3, m. -5, m, 3 Let o(d) = -d**3 + 2*d**2 + 2*d. Let l be o(3). Put 3, -2, l, -5 in decreasing order. 3, -2, l, -5 Suppose -8*j - 3 = i - 7*j, -12 = i + 4*j. Sort i, -2, 2 in increasing order. -2, i, 2 Let l = -12 + 8. Put -12, l, -5 in descending order. l, -5, -12 Let l = -5.08 - -0.08. Let z(h) be the third derivative of h**4/24 - 5*h**3/2 + 4*h**2. Let j be z(11). Sort j, -2, l in descending order. -2, j, l Let n = -9 + 14. Sort 3, n, 6. 3, n, 6 Suppose -2 = -3*p + 4. Put 0, -3, p in decreasing order. p, 0, -3 Suppose -5*s + 0 - 5 = 0. Suppose -12*x + 9*x - 9 = 0. Put -4, s, x in decreasing order. s, x, -4 Suppose 14 + 18 = -8*h. Put 1, 0, -3, h in descending order. 1, 0, -3, h Let m(l) = -l**3 + 9*l**2 - 8*l + 3. Let y be m(8). Put -4, y, -3 in ascending order. -4, -3, y Suppose -3*a + 2*a = -2. Sort 3, a, 4. a, 3, 4 Let j(i) = -6*i + 2. Let q be j(-2). Let l be (q - 2) + 4/(-2). Suppose 2 = 4*b - l. Sort b, 2, -0.3 in increasing order. -0.3, 2, b Let j = 1/222 + -449/1110. Let n be (-5)/(-21) + 28/(-42). Sort n, j, -5 in increasing order. -5, n, j Let o = -1.2 + 1. Sort 4, o, 0.1. o, 0.1, 4 Suppose 4*h - 4*k + 3 = -1, 1 = -k. Sort 5, -1, h in descending order. 5, -1, h Let w = -3.98 - 0.02. Let b = 9 - 28/3. Put w, 2/5, b in descending order. 2/5, b, w Let j be 4 - 4*5/4. Let u be ((-1)/j)/(1/(-2)). Sort 0, u, -4 in increasing order. -4, u, 0 Let n = -311/6 + 52. Sort 0.2, n, -5, -4. -5, -4, n, 0.2 Let g = -20 - -79/4. Let u = 1/299 - -297/598. Put u, g, -3 in increasing order. -3, g, u Let b be (-4)/30*(-12)/8. Sort -0.5, b, 3 in increasing order. -0.5, b, 3 Let m = -0.1 + -0.1. Let u = m - -0.2. Let n = 0.5 + u. Sort 0, n, -1 in ascending order. -1, 0, n Suppose y = 3*y - 8. Suppose 8 = -b - y. Sort b, 4, 0.5 in descending order. 4, 0.5, b Let i be (0 + 2)*10/(-4). Put 0, 1, i in descending order. 1, 0, i Let n = -0.2 - -0.5. Let q = 1.1 + 3.9. Put q, n, 2/7 in descending order. q, n, 2/7 Let w = -1 + -1. Let z(d) = -d**3 - 2*d**2. Let x be z(-2). Suppose 0*n - 5 = -n - j, -2*n - 4*j + 16 = x. Put 1/4, w, n in ascending order. w, 1/4, n Suppose -5*m + 2*m + 27 = 0. Suppose 3*i - 6*i - m = 0. Put -2, -5, i in ascending order. -5, i, -2 Let q(x) = -3 + x + 0 + 5*x + x**2. Let o be q(-7). Let a be o*(-3)/(6*-1). Put 4, 1, a in increasing order. 1, a, 4 Suppose 5*g = -0*g - 25. Let p = -137 - -140. Sort p, 0, g. g, 0, p Let b = 106 - 103. Suppose -3*g = -g - 3*u - 10, 5*g - 3*u - 25 = 0. Suppose -2*z = 2*h - g*h + 7, -20 = -4*h. Put z, b, -2 in decreasing order. z, b, -2 Suppose 0 = -s + k + 1, -4*k - 5 + 13 = 2*s. Suppose -5*f = 18 + s. Suppose -z = -6*z + 5. Sort z, f, -5 in descending order. z, f, -5 Let z be ((-219)/6 - 2)*2. Let g be 2/(-9) + z/(-63). Sort 4, g, -2. -2, g, 4 Let v be (-4)/((1 + 0)*1). Let b be 3/(2 - -1) - v. Sort 4, b, -2. -2, 4, b Let m(l) = 4*l - 9. Let h be m(3). Sort 1, h, -1, -5 in decreasing order. h, 1, -1, -5 Let y = -73 - -73. Put 2, -0.3, -2/9, y in increasing order. -0.3, -2/9, y, 2 Let z = 39 - 37. Sort z, -1, -3 in ascending order. -3, -1, z Let i be -3*(-1 - 0)*-1. Let b = 0.5 + -5.5. Let j = -10 - b. Put j, i, -1 in ascending order. j, i, -1 Suppose -16 - 3 = -5*h + a, -4 = -4*a. Let c = 6 - 6. Let v = -10 + 8. Sort h, v, c. v, c, h Let x(j) = -j**3 + 5*j**2 - 5*j + 4. Let v = 2 + 2. Let o be x(v). Put o, -0.5, 0.2 in ascending order. -0.5, o, 0.2 Let z = 0.05 - 5.05. Sort z, -2/7, 3/8 in increasing order. z, -2/7, 3/8 Let a(z) be the first derivative of -z**3/3 + 13*z**2/2 - 6*z + 2. Let o be a(12). Put o, 2, -5 in decreasing order. o, 2, -5 Suppose -2*l = -1 + 3. Suppose -10 = 2*p - 5*d, -p - d + 4*d = 5. Sort p, l, 5 in ascending order. p, l, 5 Let u = 16 - 16. Let c = 1.5 - 3.5. Sort c, -3/2, u in ascending order. c, -3/2, u Let r be (-1 - -1) + 2/9. Sort 2/7, r, 4 in ascending order. r, 2/7, 4 Let q = 0.31 + -0.01. Let f = 0.3 - 0.5. Let u = f + q. Put 0, -2, u in increasing order. -2, 0, u Let i be -3 + (0 - -2) + -4. Let l = -2 - -3. Sort l, i, -2. i, -2, l Let i = 17 - 17. Put 0.4, -0.07, i in ascending order. -0.07, i, 0.4 Suppose 0 = p - 3*p - 2*f, -f = -3*p. Sort p, 2, 24 in increasing order. p, 2, 24 Suppose 0 = -w - 4*m - 7, 2*w + 4*m + 4 = -2*w. Let u be (-5)/(((-1)/w)/(-1)). Let y be -4 + 6 + 0 + -1. Sort u, -4, y. u, -4, y Let q(o) = o**3 + 8*o**2 + 6*o - 9. Let y be q(-7). Let r = 4 + -3. Put 4, r, y in increasing order. y, r, 4 Let f = 4 + 12. Let a = 18 - f. Sort a, 4, 0 in increasing order. 0, a, 4 Let j = -16 - -50/3. Let o = 20 - 22.6. Let u = o - -2.8. Sort u, 1, j in increasing order. u, j, 1 Let c(g) = g**3 + 3 + g**2 - 2*g - 2*g**3 + g**2. Let d be c(2). Suppose -2*j - 4*f = f - 21, 2*f - 9 = -j. Put j, -0.4, d in descending order. j, -0.4, d Suppose -y + 4*y = -9. Let u = -18 + 13. Suppose -16 = 4*f - 8*f. Sort u, y, f in decreasing order. f, y, u Let q be ((-2)/2)/(1/(-12)). Let z be (-6)/q + (-3)/(-2). Sort 4, z, -1. -1, z, 4 Let q(o) = 5*o**2 - 15*o + 4. Let h be q(3). Put h, -5, -2 in descending order. h, -2, -5 Let r = -56 - -391/7. Put -5, r, 0.02 in decreasing order. 0.02, r, -5 Let n = 2/1151 + -2336/19567. Let h = -21 - -20.5. Put 0.5, h, n in increasing order. h, n, 0.5 Let d = 78 - 77. Put d, 11, 5 in decreasing order. 11, 5, d Let x = 6 + -5.4. Let y = 2.2 + -1.5. Let z = x - y. Put 3, -3, z in ascending order. -3, z, 3 Suppose 0 = y + 14 - 2. Let l(c) = -c**2 + 11*c - 11. Let d be l(10). Put -2, y, d in increasing order. y, -2, d Suppose -8*q - 4 = -4*q. Let w = -0.1 - 0. Sort q, 0.2, w in descending order. 0.2, w, q Suppose -3*h - 117 + 105 = 0. Sort 2, -3, h, 4. h, -3, 2, 4 Let n = 8 + -6. Sort -3, n, -5 in increasing order. -5, -3, n Suppose 0*l + 3*l - 4*w - 21 = 0, -5*l + 2*w = -21. Suppose 2*c = -8 + 4. Put l, 0, c in decreasing order. l, 0, c Let k = 0.25 - 2.27. Let o = k - -0.02. Put -3/5, -1/4, o in decreasing order. -1/4, -3/5, o Let v = -0.2 - 0.3. Let a = 4.5 + v. Sort a, -0.2, -2/21 in descending order. a, -2/21, -0.2 Suppose -4*l = -1 + 5, -2*c + l - 1 = 0. Let j(y) = 2*y**3 + 3*y**2 + 3*y + 3. Let x be j(-2). Sort 5, x, c in increasing order. x, c, 5 Let d = -30 + 30. Let f = -250 - -7501/30. Let b = f - 11/30. Put 0.3, b, d in ascending order. b, d, 0.3 Suppose -77*z + 81*z + 8 = 0. Let l = -1.5 + 2. Let m = l + 7.5. Sort z, 0.2, m in decreasing order. m, 0.2, z Let u be ((-9)/(-9))/(22/(-4)). Sort u, 0.5, -5. -5, u, 0.5 Let k = 52 + -365/7. Sort -4, 2/11, k, 0.5 in decreasing order. 0.5, 2/11, k, -4 Let v be (-450)/75 - ((-1 - 3) + 1). Let q = 3 + -5. Sort v, -5, q. -5, v, q Suppose -3*v + 8*v = 0. Let u = -5 + v. Let i be 15*((-1)/3*5 + 2). Sort 4, u, i in descending order. i, 4, u Let n(x) = -x**2 + 9*x - 2. Let i be n(10). Let j = i + 17. Sort -5, 1, j in descending order. j, 1, -5 Let g = 21063/1930 - 13/965. Let f = g + -42/5. Sort f, 0.5, 5. 0.5, f, 5 Let q = 585 - 589. Let k = 7 + -12. Sort 3, k, q in descending order. 3, q, k Suppose -2*o - 3 = -1. Let c be 3 + -2 - (2 - o). Sort 5, c, 0 in ascending order. c, 0, 5 Let g(t) = -t**3 + t**2 - 2*t + 4. Let j be g(0). Sort 2, j, 5, -4. -4, 2, j, 5 Let m be 1/(-4 + 2)*-12. Put m, 4, 3/5 in descending order. m, 4, 3/5 Let s(a) = a**2 - 14*
{ "pile_set_name": "DM Mathematics" }
+ 432/5 = 0. 1, 6 What is n in 100/13*n + 24/13*n**3 - 16/13 + 18/13*n**4 - 166/13*n**2 = 0? -4, 1/3, 2 Let x = 273 - 271. Let h(i) be the third derivative of 1/30*i**4 + 0*i + 3*i**x + 0 - 1/100*i**5 - 1/30*i**3. Solve h(l) = 0. 1/3, 1 What is k in 21/2 + 3/4*k**2 + 27/4*k = 0? -7, -2 Let i be 4/3*-3 + 0. Let b be ((-4)/i)/(4/56). Suppose -2*l**5 + 2*l**4 + 6*l**3 + 12*l - b*l + 2 - 4*l**2 - 2*l**3 = 0. Calculate l. -1, 1 Factor -8/5 - 2*f**2 - 2/5*f**3 - 16/5*f. -2*(f + 1)*(f + 2)**2/5 Find h, given that 0 + 2/3*h**3 + 20/9*h + 34/9*h**2 = 0. -5, -2/3, 0 Suppose 0 = -3*d + 5*b - 20, 4*b - 16 = 75*d - 79*d. Factor 0*f**3 + d + 1/5*f**4 + 2/5*f - 3/5*f**2. f*(f - 1)**2*(f + 2)/5 Let i = 10 + 4. Suppose 16 = 3*n - i. Factor 5*d - 3*d**4 - 8 - 110*d**3 + 100*d**3 + 5*d**5 + 3 - 2*d**4 + n*d**2. 5*(d - 1)**3*(d + 1)**2 Let f(l) = -l**3 - 5*l**2. Let p(h) = h**2 - 6*h + 6. Let m(z) = -z + 1. Let i(q) = 6*m(q) - p(q). Let c(g) = f(g) - 4*i(g). Factor c(b). -b**2*(b + 1) Let l = -128849/3 + 42950. Suppose -1/3*z - l*z**2 + 0 = 0. Calculate z. -1, 0 Solve -4*q**2 + 11476*q - 616 - 22845*q + 11469*q = 0. 11, 14 Factor 158/3*t - 3200/3*t**3 + 2/3 + 3040/3*t**2. -2*(t - 1)*(40*t + 1)**2/3 Solve 65*p**2 - 48 + 34*p**3 - 20*p**4 + 6*p**3 + 16*p**4 - 181*p**2 + 128*p = 0. 1, 2, 6 Determine o so that -864 - 914*o + 498*o**2 - 614*o**4 + 206*o**4 + 843*o**3 + 48*o**5 - 526*o = 0. -3/4, 2, 4 Let d(h) be the second derivative of -h**6/480 - h**5/32 + 3*h**4/16 + 11*h**3/6 + 31*h. Let t(u) be the second derivative of d(u). Factor t(f). -3*(f - 1)*(f + 6)/4 Let w = 72 + -67. Suppose -w*r + 9 = -11. Suppose -8/5*k**4 - 8/5*k - 16/5 + 2/5*k**5 + 2/5*k**3 + r*k**2 = 0. What is k? -1, 2 Let c(w) be the first derivative of w**3/15 - 76*w**2/5 + 151*w/5 + 535. Let c(g) = 0. Calculate g. 1, 151 Let j(y) = y**3 - 5*y**2 - 7*y + 9. Let a = 70 - 64. Let l be j(a). Suppose -1/3*z**2 - 1 - 1/3*z**l + 5/3*z = 0. Calculate z. -3, 1 Let o = -266 + 802/3. Let c(i) be the first derivative of 4 + o*i**3 - 11/12*i**2 - 13/12*i**4 + 7/15*i**5 - 1/12*i**6 + 1/3*i. Find z, given that c(z) = 0. 2/3, 1 Let q(s) = -10*s - 7. Let p be q(-3). Let x = p + -19. Let 4*c**3 + 6*c**x + 0*c**4 - 3*c**3 - 7*c**4 = 0. Calculate c. 0, 1 Suppose 2*o = -0*k - 2*k + 348, 0 = -2*k + o + 339. Let s be k/(-38)*(-3)/18. Suppose -s*m**5 - 9/4*m**4 + 3/4 + 3/2*m**2 - 3/2*m**3 + 9/4*m = 0. Calculate m. -1, 1 Let s(o) = o**5 - 3*o**4 - o**2 + o - 1. Let r(z) = 10*z**5 - 54*z**4 + 111*z**3 - 70*z**2 + 13*z + 5. Let b(p) = r(p) + 5*s(p). Determine g so that b(g) = 0. 0, 3/5, 1, 2 Let h be (-3 + 3/(-5))*5. Let y be (1/10)/(h/(-945)). Factor -27/4*q**3 + y*q**2 - 3/4*q**5 + 0 + 15/4*q**4 - 3/2*q. -3*q*(q - 2)*(q - 1)**3/4 Let t be 0/(1/((-1)/(-2))). Let q(o) be the first derivative of 2 + 1/8*o**4 - 1/6*o**3 + t*o - 1/2*o**2. What is i in q(i) = 0? -1, 0, 2 Factor 105*k**2 - 86*k - 2*k**3 - 44*k + 30*k**2 - 3*k**3. -5*k*(k - 26)*(k - 1) Let a be ((-12)/16)/(135/(-36)). Let f(r) be the first derivative of 0*r - 1/8*r**4 + 4 + 0*r**3 + a*r**5 - 1/12*r**6 + 0*r**2. Factor f(s). -s**3*(s - 1)**2/2 Suppose 0 = -4*g + 6 + 2. Factor g + 10 + 3*q**4 + 3*q - 9*q**2 - 3*q**3 - 6. 3*(q - 2)*(q - 1)*(q + 1)**2 Let x(i) be the first derivative of i**5/20 - i**4/6 - 11*i - 11. Let p(w) be the first derivative of x(w). Determine a, given that p(a) = 0. 0, 2 Let c = 11 - 6. Let o(u) = -12*u**4 - 16*u**3 + 52*u**2 + 24*u + 16. Let f(b) = -4*b**4 - 5*b**3 + 17*b**2 + 8*b + 5. Let k(m) = c*o(m) - 16*f(m). Factor k(y). 4*y*(y - 2)*(y + 1)**2 Determine u so that 192 - 44/3*u**2 - 4/3*u**3 + 1/3*u**4 + 32*u = 0. -4, 6 Let l = -8 + 6. Let b(w) = -6*w**2 - 18*w. Let g(f) = 19*f**2 + 55*f. Let v(y) = l*g(y) - 7*b(y). Let v(h) = 0. Calculate h. -4, 0 Let h(y) be the first derivative of 6*y**3 - 200*y**2/11 + 8*y/11 - 110. Factor h(r). 2*(r - 2)*(99*r - 2)/11 Let c = 117 + -70. Determine m, given that -c*m**4 + 42*m**4 + 4*m**2 + 5*m**3 + m**2 - 5*m = 0. -1, 0, 1 Let p = 46 + -43. Let u be (p/(-4) + 1 - 1)/(-3). Factor 0*m + 1/4 - u*m**2. -(m - 1)*(m + 1)/4 Let w be (-247)/(-62) - (4 - -1 - 1). Let m = w - -65/186. Factor -m*l + 1/3*l**2 - 2/3. (l - 2)*(l + 1)/3 Let k = 197/672 - -13/96. Solve -15/7*f - 18/7 + k*f**2 = 0. -1, 6 Let y(f) be the second derivative of f**6/225 - 7*f**5/150 + f**4/6 - 13*f**3/45 + 4*f**2/15 + 76*f. Determine s so that y(s) = 0. 1, 4 Find d such that -5/4*d**2 - 1/8*d**3 + 0 + 11/8*d = 0. -11, 0, 1 Let m(q) be the third derivative of -q**6/24 + 35*q**4/24 - 5*q**3 + q**2 - 2. Factor m(l). -5*(l - 2)*(l - 1)*(l + 3) Let r(f) be the third derivative of f**9/40320 + f**8/6720 - f**7/840 - f**6/60 - f**5/30 - 2*f**2. Let a(t) be the third derivative of r(t). Factor a(u). 3*(u - 2)*(u + 2)**2/2 Let t(n) = 9*n**4 - 32*n**3 + 67*n**2 - 32*n - 17. Let l(b) = -10*b**4 + 33*b**3 - 69*b**2 + 32*b + 18. Let v(u) = 5*l(u) + 6*t(u). Solve v(d) = 0 for d. -1/4, 2, 3 Let a(g) be the third derivative of g**7/210 + g**6/12 + 9*g**5/20 + 3*g**4/4 - 6*g**2 + 49*g. Suppose a(p) = 0. Calculate p. -6, -3, -1, 0 Suppose 116*w - 31*w**2 + 62 + 61*w**2 + 22*w**2 - 2 - 4*w**3 = 0. What is w? -1, 15 Let o(t) be the first derivative of -27/2*t**4 + 2 + 0*t - 3/2*t**2 + 42/5*t**5 + 15/2*t**3. Let o(k) = 0. What is k? 0, 2/7, 1/2 Let a(v) = -6*v**2 - 41*v - 264. Let y(d) = -d**2 - 8*d - 53. Let p(l) = -2*a(l) + 11*y(l). Factor p(o). (o - 11)*(o + 5) Let s be ((-4)/(-3))/(0 - (-2)/9). Factor -s*x**2 + 2*x**2 + 12 + 0*x**2 - 8*x. -4*(x - 1)*(x + 3) Determine u, given that -74*u**2 + 114*u**3 + 155*u**2 + 3*u**4 + 108*u + 138*u**2 = 0. -36, -1, 0 Let i(t) be the first derivative of t**3/4 - 21*t**2/8 + 9*t/2 + 29. Factor i(z). 3*(z - 6)*(z - 1)/4 Suppose -1/4*o**5 - 3/4*o**4 - 1/2*o**3 + 1/4 + 3/4*o + 1/2*o**2 = 0. What is o? -1, 1 Let m(p) be the second derivative of -p**7/2520 + p**6/90 + 3*p**5/40 + 5*p**4/6 + p**2/2 + 2*p + 11. Let x(t) be the third derivative of m(t). Factor x(q). -(q - 9)*(q + 1) Let f(y) be the first derivative of -y**6/12 + 9*y**4/4 - 81*y**2/4 + 37. Suppose f(q) = 0. What is q? -3, 0, 3 Let y = -15915 - -15917. Factor 2/3*k - 2/5 - 2/15*k**y - 2/15*k**3. -2*(k - 1)**2*(k + 3)/15 Let o be (-7 + -3 - 1)/(-1). Suppose o*b = -4 + 4. Factor -2*h**3 + b + 4/5*h**4 - 2/5*h + 8/5*h**2. 2*h*(h - 1)**2*(2*h - 1)/5 Let w(c) be the first derivative of c**8/13440 + c**7/3360 - c**6/960 - c**5/240 + c**4/48 + 2*c**3 + 1. Let d(n) be the third derivative of w(n). Factor d(b). (b - 1)**2*(b + 2)**2/8 Let g be -1 + 5 + 148/8*-4. Let b be (-122)/g - 2/(-5). Factor 3*j**4 - b*j**3 + 0 + 3/7*j**2 + 0*j - 9/7*j**5. -3*j**2*(j - 1)**2*(3*j - 1)/7 Let r(v) = v**3 - 3*v**2 + v. Let w(u) = -u**5 + 21*u**4 - 24*u**3 - 44*u**2 + 95*u - 40. Let k(m) = -21*r(m) - 3*w(m). Factor k(p). 3*(p - 20)*(p - 1)**3*(p + 2) Let w(o) = 3*o + 25. Let f be w(0). Find p, given that 18 + 6*p**2 + f + 7*p - 45 - 2*p**2 = 0. -2, 1/4 Let m(d) be the third derivative of -d**8/1008 + d**7/1260 + d**6/60 + d**5/36 - d**4/72 - d**3/12 + 189*d**2. Find z, given that m(z) = 0. -1, 1/2, 3 Let x be 11/44 + ((-217)/(-140) - 3/(-15)). Determine b, given that -2/9*b**x + 0 - 8/9*b**3 + 0*b = 0. -1/4, 0 Let d(z) = z + 1. Let c(f) = -2*f**4 - 2*f**3 + 12*f**2 - 6*f - 6. Let a(l) = c(l) + 6*d(l). Factor a(h). -2*h**2*(h - 2)*(h + 3) Let h be (-630)/(-130) - (-4)/26. Factor -250*r + r**5 - r**3 + 14*r**2 - h*r**3 + 3 - r**4 + 239*r. (r - 1)**4*(r + 3) Let d(f) be the first derivative of -f**3 - 69*f**2/2 - 66*f - 73. Factor d(k). -3*(k + 1)*(k + 22) Let c(i) be the second derivative of i**6/6 + i**5 + 5*i**4/3 - 10*i + 9. Factor c(l). 5*l**2*(l + 2)**2 Factor 0 - 196/9*k**3 - 184/9*k**2 - 50/9*k**4 + 16/9*k. -2*k*(k + 2)**2*(25*k - 2)/9 Let w(u) be the first derivative of 12*u**5/5 + 29*u**4 + 24*u**3 + 545. Suppose w(n) = 0. What is n? -9, -2/3, 0 Suppose -5*t + 2*d = -18, -4*d + 1 = 17. Let s = 24325/4 - 6081. Factor 0 + g**t - s*g. g*(4*g - 1)/4 Factor 93/5*d + 9/5*d**4 + 14/5 + 83/5*d**3 + 153/5*d**2. (d + 1)**2*(d + 7)*(9*d + 2)/5 Let g be ((-22)/6*-1 - 36/18) + -1. Determine r, given that 4*r - 6 - g*r**2 = 0. 3 Let m(h) be the third derivative of h**8/112 - 33*h**7/280 + 23*h**6/40 - 109*h**5/80 + 27*h**4/16 - h**3 + 153*h**2. Find r such that m(r) = 0. 1/4, 1, 2, 4 Le
{ "pile_set_name": "DM Mathematics" }
vative of u**2/2 + u - 1. Let b(p) = 3*p**2 + 7*p + 4. Let m(c) = -c**2 - c. Let v(t) = -b(t) - 2*m(t). Determine -4*q(f) - v(f). f**2 + f Let d(q) = -q - 2. Let h = 6 - 2. Let x(z) = -5*z - 2 - 3 + h*z - z. Suppose -w - 1 = 9. Calculate w*d(l) + 4*x(l). 2*l Let j(i) = -i**3 - i. Let r(m) = -42*m**3 - 4*m - 2. Calculate 4*j(s) - r(s). 38*s**3 + 2 Let a(z) be the first derivative of -z**3 - 2*z**2 + 4*z + 7. Suppose -v = 0, 7*v = 3*o + 2*v + 15. Let r(i) = 4*i**2 + 5*i - 5. Calculate o*a(c) - 4*r(c). -c**2 Let c(q) = 6*q**2 + q. Let d(k) = -7*k**2 - 2*k + 1. What is -4*c(y) - 3*d(y)? -3*y**2 + 2*y - 3 Let q(p) = -4*p - 4. Let h(w) = -21*w - 21. Let a be (-68)/85*10/(-4). Calculate a*h(b) - 11*q(b). 2*b + 2 Let v(k) = -8*k**2 + 3*k. Let j(i) = 25*i**2 - 10*i. Let n(y) = 3*j(y) + 10*v(y). Let m = 6 + -4. Let w(s) = -3*s + 3*s - 2*s**m. Calculate 4*n(a) - 11*w(a). 2*a**2 Let n(c) = c**2 + c. Let l(x) = -5*x**2 - 15*x. What is l(h) + 15*n(h)? 10*h**2 Let p(a) = 7*a**2 + 7*a + 1. Let q(n) = -24*n**2 - 24*n + 1. Let o(v) = 23*v**2 + 23*v. Let f(s) = 4*o(s) + 3*q(s). Calculate -6*f(m) + 17*p(m). -m**2 - m - 1 Let h(y) = -2*y**2 - 2*y - 6. Let c(u) = -u**3 + 2*u**2 + 2*u + 2. Let f be c(3). Let i(x) be the first derivative of x**2/2 + x + 77. Give f*h(b) - 4*i(b). 2*b**2 - 2*b + 2 Let i = -32 - -36. Let c(k) = -5*k**2 + 3. Let z(u) = -5*u**2 + 4. What is i*c(n) - 3*z(n)? -5*n**2 Let w(b) = b - 1. Let r(f) = 9*f**2 - 5*f + 4. Give -r(q) - 5*w(q). -9*q**2 + 1 Let s(x) = -12*x**2 + 21*x + 21. Let k(r) = -23*r**2 - 5*r + 0 - 5 + 26*r**2. Calculate -21*k(b) - 5*s(b). -3*b**2 Let c(v) be the first derivative of -3*v**4/2 + v**2 - 1. Let h(x) = x**3. Let p(t) = -t**2 - 10*t + 7. Let s be p(-11). What is s*h(r) - c(r)? 2*r**3 - 2*r Let c(k) = 4*k - 5. Let y(a) = -a - 1. Let i(f) = c(f) + y(f). Let w(t) = -4*t + 7. Give 7*i(z) + 6*w(z). -3*z Let b(v) be the first derivative of v**2/2 - v - 13. Let z = -4 - -3. Let r(n) = -n**2 + 3*n + 1. Calculate z*r(m) + b(m). m**2 - 2*m - 2 Let u(l) = -5*l**3 + 6*l**2 + 2*l + 4. Suppose -2*r + k + 8 = 0, -18 + 5 = -3*r + k. Let h(n) = 1 + 3*n - 11*n**3 + 7*n**2 + 4 + r*n**3. Give 4*h(j) - 5*u(j). j**3 - 2*j**2 + 2*j Let g(d) = -6*d**2 + 10*d - 10. Let z(a) = a**2 - a + 1. Calculate g(y) + 10*z(y). 4*y**2 Let b = -38 + 42. Let x(c) = -2*c**2 + 3*c + 7. Let p be (-2 - 0/(-3))/(-1). Let j(g) = 0*g - 3 - p*g + g**2 + g. Calculate b*x(i) + 10*j(i). 2*i**2 + 2*i - 2 Let t(y) = -5*y + 7. Let i(m) = 2*m - 4. Determine -7*i(b) - 3*t(b). b + 7 Let c(s) = 4*s - 1. Let b(x) = x**2 - 17*x + 3. Determine 2*b(i) + 9*c(i). 2*i**2 + 2*i - 3 Let p = -8 - -10. Let g(z) = 5*z + z**3 + 3 + 2 - 2*z**p - 3*z**2. Suppose c + 0 = -3. Let a(v) = -v**3 + 3*v**2 - 3*v - 3. Give c*g(w) - 5*a(w). 2*w**3 Let y be (-4 + 20)*(-1 + 0). Let d(t) = -2*t. Let v(p) = -10*p. Determine y*d(a) + 3*v(a). 2*a Let p = -11 + 35. Let n be ((-10)/8)/((-6)/p). Let c(b) = -5*b**2 - 8*b + 8. Let o(h) = -3*h**2 - 5*h + 5. What is n*c(f) - 8*o(f)? -f**2 Let d(q) = 4*q**2 + 10*q. Let y(j) = -3*j - 10. Let f(g) = -2*g - 6. Let w(v) = 5*f(v) - 3*y(v). What is -d(n) - 10*w(n)? -4*n**2 Let k(b) = 2*b**3 + 5*b**2 - 5*b. Let c(a) = 9*a**3 + 21*a**2 - 21*a. Let v be -4 - 1/(2 - 1). What is v*c(z) + 21*k(z)? -3*z**3 Let w(o) = 9*o + 15. Let s(h) = -2*h - 4. Determine -22*s(k) - 6*w(k). -10*k - 2 Let q(s) = -16*s**3 - 6*s - 6. Let v(k) = 145*k**3 + 55*k + 55. Give -55*q(m) - 6*v(m). 10*m**3 Let m = -20 - -5. Let b = m + 13. Let f(r) = r. Let s(p) = 0 - 2*p + 0. Calculate b*f(l) - 2*s(l). 2*l Let o(s) be the third derivative of 0 + 3*s**2 + 0*s - 1/8*s**4 + 0*s**3. Let q(p) = -p - 1. What is -o(z) + 2*q(z)? z - 2 Let v(c) = -9*c**2 - 3*c. Let k(f) = 8*f**2 + 2*f. What is 6*k(q) + 4*v(q)? 12*q**2 Let l = 13 - 17. Let o(y) = -7*y**2 + 4*y + 4. Let r(j) = 15*j**2 - 9*j - 9. Give l*r(q) - 9*o(q). 3*q**2 Let t(r) = 6*r**2 - 6*r. Let u(p) = p. Determine -t(j) - 8*u(j). -6*j**2 - 2*j Let t(u) = -2 - u - 4*u + 4*u + 0*u. Let r(k) = -6*k - 13. Determine -6*r(y) + 39*t(y). -3*y Let s = 3 - 1. Let p(r) = r**2 - s*r + 7*r - r. Let m(f) = f**2 + 5*f. Let z = 5 - 10. Calculate z*p(l) + 4*m(l). -l**2 Let a(y) = 3*y**3 + 9*y**2 + 5*y. Let w(c) = c**3 + c. Give -a(n) + 5*w(n). 2*n**3 - 9*n**2 Let u(f) = 3*f**3 + 2*f**2 + 2*f - 2. Let m(y) = -16*y**3 - 10*y**2 - 11*y + 11. What is -2*m(v) - 11*u(v)? -v**3 - 2*v**2 Let v(u) = -2*u**3 + u**2 - 2*u + 3. Let k(f) = f**3 - f**2 - 1. Calculate -3*k(p) - v(p). -p**3 + 2*p**2 + 2*p Let u(k) = -3*k**2 + 2*k - 1. Let i(c) = 7*c**2 - 5*c + 3. Suppose 0 + 8 = -4*f. Let o(z) = 2*z - 1. Let b be o(-2). Give b*u(h) + f*i(h). h**2 - 1 Suppose 29 = -f - 5*y, -2*f + 3*y + 3 = -4. Let l(r) = -r + 1. Let i(t) = 2*t + 2. Let n(a) = -2*a - 1. Let c(v) = 3*i(v) + 4*n(v). Calculate f*l(o) + 3*c(o). -2*o + 2 Let n(r) = 24*r**2 - 33*r + 4. Let a(s) = -8*s**2 + 11*s - 1. Let b(q) = 11*a(q) + 4*n(q). Let k(f) = 7*f**2 - 10*f + 4. Calculate 6*b(l) - 7*k(l). -l**2 + 4*l + 2 Let h(q) = 4*q + 4. Let a(i) = i + 1. Let y = 1 - -5. Let p = y - 10. Give p*h(s) + 18*a(s). 2*s + 2 Let x(r) = -5*r**2 + r - 4. Let d(z) = z**2 - z - 1. Let t(f) = 4*d(f) - x(f). Let m(g) = -3*g**2 + 2*g. Give 11*m(c) + 4*t(c). 3*c**2 + 2*c Let l(k) = -5*k - 4. Let h(t) = -9*t - 7. Determine -6*h(z) + 11*l(z). -z - 2 Suppose 12 = -10*r + 6*r. Let z(w) = -3*w**2 - 2*w - 3. Let g(d) = -d**3 + d**2 + d + 1. Determine r*g(u) - z(u). 3*u**3 - u Let q(v) = 5*v**3 + 1. Let b(u) = -15*u**3 - 3. Determine 4*b(m) + 11*q(m). -5*m**3 - 1 Let o(d) = d + 1. Let p = -17 + 11. Let k(b) = 4*b + 7. Determine p*o(z) + k(z). -2*z + 1 Suppose y - 4 = d, -4*d - 6 = -y + 2*y. Let m(h) = h**3 - h**2. Let b(j) = 6*j + 0*j - 2*j**2 - 6*j. Let w be 2*2/(-4)*-1. What is d*m(p) + w*b(p)? -2*p**3 Let p(m) = -m**2 - 1. Let h(n) = -2 + 4 - 4*n**2 + 3*n - 8 - 2*n. Let z(q) = -q**3 + 5*q**2 + 5*q + 7. Let w be z(6). What is w*h(o) - 5*p(o)? o**2 + o - 1 Let u(v) = 3. Suppose l = 3*l + 22. Let a(i) be the first derivative of i**2/2 - 16*i + 1. Calculate l*u(c) - 2*a(c). -2*c - 1 Let o(b) = -5*b - 3. Let s(c) = -6*c - 4. Let p(z) = -4*o(z) + 3*s(z). Let w(n) = -2*n + 1. Let m be ((-42)/(-14))/((-3)/(-9)*3). Calculate m*p(v) + 2*w(v). 2*v + 2 Let s = -59 + 39. Let t be (s/8)/(3/(-6)). Let q(y) = -5*y + 3. Let k(n) = -9*n + 5. Calculate t*q(l) - 3*k(l). 2*l Let n(p) = -p**2 + p. Let j(c) = 4*c**2 - 3*c + 3. What is -j(t) - 3*n(t)? -t**2 - 3 Let d(s) be the first derivative of -s**2/2 + s - 1. Let g(c) be the second derivative of c**3/3 - c**2 + 9*c. Calculate -9*d(r) - 4*g(r). r - 1 Suppose 2 = m - 0. Let b(v) = -4*v**3 + 3*v**2 - 3*v - 3. Let o be -1 + 4/((-8)/(-14)). Let d(r) = r**3 - r**2 + r + 1. Determine m*b(s) + o*d(s). -2*s**3 Let s be (-3)/3*-3 + 0. Suppose -s*m + n = 5*n + 78, 4*m = 3*n - 79. Let l(b) = 15*b. Suppose 0 = -3*i + i - 12. Let x(z) = -4*z. Give i*l(v) + m*x(v). -2*v Let p(q) = -q**3 + 3*q. Let d be (-10)/8 - 3/4. Let h(n) = n**3 - 2*n. What is d*p(i) - 3*h(i)? -i**3 Let l(k) = -k**3. Let c(q) = 2*q**3 + 2*q. Let f be (-1)/(1 - 2) + -2. Let d(i) = f*c(i) - 3*l(i). Let y(h) = -5*h**3 + 11*h + 1. Calculate -11*d(p) - 2*y(p). -p**3 - 2 Let m(s) = -s**3 + 4*s**2 + 2*s + 4. Let n(c) = -2*c**3 + 3*c**2 + c + 3. What is -3*m(u) + 4*n(u)? -5*u**3 - 2*u Suppose 5*x - 18 = 2. Let q(b) = -b**2 + 1 - 1 - x*b**2 + 4*b**3 - 6*b. Let g(i) = 5*i**3 - 6*i**2 - 7*i. What is 5*g(l) - 6*q(l)? l**3 + l Suppose -4*z + 0 = -12. Suppose 4*v = -n + 7 + 14, -3*v + 9 = z*n. Let d(m) = m - 1. Let f(a) = 5*a - 5. Calculate v*d(w) - f(w). w - 1 Let o(p) = 6*p**2 - 4*p - 3. Let m(x) be the third derivative of -x**5/60 + x**4/24 + 4*x**2. Determine -4*m(k) - o(k). -2*k**2 + 3 Let u(y) = y**3 + y**2 - 1. Let n(g) = 8*g**3 + 7*g**2 - 7. Let b(c) = 3*c**3 + 3*c**2 - 2. Let x be b(-2). Let j be (-2)/(-3)*63/x. Determine j*n(q) + 21*u(q). -3*q**3 Let l(k) = 3*k**3 - 6*k**2 + 4*k + 1. Let z(r) = -5*r**3 + 11*r**2 - 7*r - 2. Calculate 7*l(d) + 4*z(d). d**3 + 2*d**2 - 1 Let p(n) = -55*n**3 - 5*n**2 - 5. Let k(d) = -d**3 - d**2 - 1. What is -5*k(f) + p(f)? -50*f**3 Let y(k) = k - 5. Let j(q) = q - 6. Let z(l) = 4*j(l) - 3*y(l). Let i(h) = -1. Determine 6*i(d) - z(d). -d + 3 Let t(m) = -4*m**2 + 2*m + 2. Let h(r) = r + 1. Give 2*h(o) - t(o). 4*o**2 Let f(o) = -533*
{ "pile_set_name": "DM Mathematics" }
is the tens digit of x? 3 Let q = 14 - 18. Let o be (2/q)/((-3)/(-12)). What is the tens digit of 92/3 - o/6? 3 Suppose -20 = -q + 6*q. Let m be 708/30 - q/10. Let l = m + -10. What is the units digit of l? 4 Suppose -4*x - 2 = 4*y + 6, x = -4*y + 7. Let h = 72 + -50. Suppose -y*f + f = -h. What is the tens digit of f? 1 Let a(i) = i**3 + 11*i**2 + 15*i - 21. Let k be a(-9). Let s(t) = -2*t - 7. Let v be s(-5). What is the tens digit of (k - 1)/(v/9)? 1 Let v be -66*5/(-1) + 0. Let m = v + -189. What is the tens digit of m? 4 Suppose 5*f + 32 = 3*j, -4*j = -j + f - 8. Let m be -3 + (-4)/(-12)*9. Suppose -g + j*l + 6 + 0 = m, -g = -3*l - 5. What is the units digit of g? 2 Let x(k) = -k**2 + 6*k - 3. Suppose 6*u - 2*u = 8. Let z be x(u). Suppose -230 = z*j - 10*j - 4*m, 0 = 2*m - 10. What is the tens digit of j? 4 Suppose 0 = -2*p - 4*z + 320 + 316, -3*z = -3*p + 990. What is the hundreds digit of p? 3 Suppose 3*x = 4*x - 906. Suppose -9*l + x = -6*l - 2*n, l - 5*n - 302 = 0. What is the tens digit of l? 0 Suppose 17 = -4*o - 7. Let b be (-134)/o - (-8)/12. Let q = -20 + b. What is the units digit of q? 3 Let o = -43 - -40. What is the tens digit of -33*(o - 0/(-1))? 9 Let d(w) = w**3 - 2*w**2 - 5*w - 4. Suppose -5*s + 19 = -4*s. Suppose -54 + s = -7*c. What is the tens digit of d(c)? 4 Let h = -31 - -61. What is the units digit of ((-244)/(-10))/(6/h)? 2 Let y(g) = -3*g - 5. Let h be y(4). Let n = -12 - h. Suppose 0 = -2*b + 9 + n. What is the units digit of b? 7 Suppose -6*l + 9*l = 3*x + 33, -27 = -5*l - 2*x. Suppose l*u = -6*u + 78. What is the units digit of u? 6 Let g(z) be the first derivative of 8*z**2 + z - 5. Let u be g(3). Suppose -u - 21 = -2*f. What is the tens digit of f? 3 Let w(y) = -y**2 - 8*y + 4. Let m be w(-8). Suppose 78 = -m*z - 134. Let p = z - -88. What is the units digit of p? 5 Suppose -b + 5*s = -27, s + 54 = b + 19. Suppose -124 = -3*k - 5*o, 3*o + 71 + b = 3*k. What is the units digit of k? 8 Suppose -476 - 2295 = -2*l - 5*n, 1 = n. What is the thousands digit of l? 1 Let g(x) = -x**3 - 11*x**2 + 5*x + 6. Let f(r) = -2*r**3 - 21*r**2 + 11*r + 12. Let b(h) = 3*f(h) - 5*g(h). What is the tens digit of b(-9)? 1 Let q(y) = 17*y**3 - 2*y**2 + 4*y. What is the units digit of q(3)? 3 Let k = -523 + 883. What is the tens digit of k? 6 Suppose 24 = -0*l + l. Suppose 4*c - 2*k = 2, c - 5*k = -3*c - 13. Suppose c*y + l = 6*y. What is the units digit of y? 8 Let s = -23 + 29. Suppose 0 = v - s*v + 215. What is the tens digit of v? 4 What is the hundreds digit of 6/((-158)/320 - 3/(-6))? 9 Let t(q) = -q. Let m be t(1). What is the tens digit of (-129)/(0 - 1) + m + 1? 2 Let b = -12 + 260. Let c = 351 - b. What is the hundreds digit of c? 1 Suppose -31349 = -10*d - 19*d. What is the units digit of d? 1 Suppose 4*g - 5*g = -2570. What is the hundreds digit of g? 5 Let j = 66 - 101. Let t(k) = k + 1. Let p be t(-4). What is the tens digit of j/p + (-2)/(-6)? 1 Let v = -146 + 354. What is the units digit of v? 8 Suppose 40*b = 37468 + 48572. What is the hundreds digit of b? 1 Suppose -4*r - 56 = -2*h + 8, 3*h = -2*r + 136. Let a = -39 + h. What is the units digit of a? 3 Let a(h) = -14*h + 3. Let b be a(2). Let r = b + 11. Let w = 33 + r. What is the units digit of w? 9 Let x(z) = -297*z - 53. What is the units digit of x(-4)? 5 Suppose -15 = -33*n + 30*n. Suppose n*g - 803 = 2*p - 0*p, g - 166 = -5*p. What is the tens digit of g? 6 Suppose 4*m + 0*m + 315 = 5*k, 3*k = -m + 206. Suppose 0 = t - 169 + k. What is the units digit of t? 2 Let o(t) = 2*t - 21. Let z be o(11). Let h be z/9 + 10/(-90). Suppose -3*u + h*u - 4*v = -34, -5*u + 75 = 3*v. What is the units digit of u? 8 Let z(u) = -6*u - 8. Let t be z(-3). What is the tens digit of ((-8)/t)/((-1)/45)? 3 Suppose 8*d = d + 14. Suppose w = d + 1. Let l(n) = 6*n + 2. What is the units digit of l(w)? 0 Let t = -453 - -672. What is the units digit of t? 9 Let t(p) = -p**3 - 2*p**2 - 13*p - 7. Let a be t(-6). Let d = -138 + a. Let c = d + -41. What is the tens digit of c? 3 Let d(z) = -z**3 - 20*z**2 - 2*z + 40. What is the tens digit of d(-21)? 2 Let i(k) = k**3 - 23*k**2 + 64*k + 116. What is the thousands digit of i(26)? 3 Let g = 2620 - 332. Suppose -608 = -4*t - g. What is the units digit of t/(-8) - 3/6? 2 What is the units digit of -3 - (9 - (-5 + 2062))? 5 Suppose 4*z + 117 - 377 = 0. Let v(y) = 4 + z*y + 9 - 66*y. What is the units digit of v(-14)? 7 Let j = -11 + -94. Let o = j + 174. What is the units digit of o? 9 Let k(l) = 5*l**2 - l**3 + 6*l**2 + 2 - 4*l**2 - 2*l. What is the tens digit of k(4)? 4 Let i = 1073 + -347. What is the units digit of i? 6 What is the units digit of ((-88312)/21)/(20/(-30))? 8 Suppose -4*h + 3*h + 3*r + 214 = 0, -3*h - 2*r = -675. What is the hundreds digit of h? 2 Suppose -4*c + 1760 = -924. What is the hundreds digit of c? 6 Let q(z) = -z - 8. Let t be q(-11). Suppose 2*u + t*o - 35 = -2*o, -3*o = 9. What is the units digit of u? 5 What is the tens digit of (7406/(-21) + 2)*(-120)/16? 3 Let c(m) = -m**3 - 6*m**2 + 2*m - 3. Suppose d + 5*d = -36. Let x be c(d). What is the units digit of (-3)/(-5)*x/(-3)? 3 Let r(l) = l**3 - 12*l**2 + 13*l - 14. Let o be (1/4)/((-2)/(-88)). Let a be r(o). Suppose a*p = 10*p - 12. What is the units digit of p? 6 Suppose 51*s - 2783 = 1705. What is the units digit of s? 8 Suppose -5*n + 1405 = 5*l, -l + 80 = 2*n - 487. What is the units digit of n? 6 Let b = 103 + -107. What is the hundreds digit of 1 + (b/2 - -209)? 2 Let w(m) = -63*m**3 + 5*m**2 + 3*m - 1. What is the thousands digit of w(-3)? 1 What is the hundreds digit of 36/(-30) + 1 + 60366/30? 0 Suppose 39 = 3*g - 0*g. Let j = 22 - 26. What is the units digit of ((-4)/j)/(1/g)? 3 Suppose 14*i = 3724 + 392. What is the hundreds digit of i? 2 Suppose -5*t + 8235 = 1750. What is the hundreds digit of t? 2 Let b(k) = -k**2 + 11*k - 12. Let a be b(8). Let g(w) = w**3 - 11*w**2 - 12*w + 17. Let s be g(a). Let o = 34 - s. What is the tens digit of o? 1 Suppose 2*d - 50 - 6 = 0. Suppose -d = -4*x + h + 3*h, 0 = -3*x + 4*h + 24. Suppose -f + 3*f = -x*a + 32, 4*f + 3*a = 59. What is the tens digit of f? 1 Let s be ((-3)/(-9) + 0)*33. Suppose -s = -c + 20. Let r = c - 12. What is the units digit of r? 9 Suppose 27 = 5*b + 7, -5*q - 10 = -5*b. Suppose -208 = -q*l + 72. What is the units digit of l? 0 What is the units digit of 4 + 3 + (1202 - -13)? 2 Suppose -r - 48 = -2*r + i, i = -2*r + 111. Let z = r - 19. What is the units digit of z? 4 Suppose 0*v + 2*v = -5*o + 1771, 1762 = 5*o - v. Suppose 7*k = -3*z + 2*k + o, 0 = -4*k - 20. What is the hundreds digit of z? 1 Let y be 1704 + (-1 - (1 - -1)). Suppose -7*t - 2*t + y = 0. What is the hundreds digit of t? 1 Let o(a) be the first derivative of 0*a**3 + 0*a + 1/2*a**2 - 9/2*a**4 - 8. What is the units digit of o(-1)? 7 Suppose l + h = -10, -l + 6*h = 3*h - 10. Let z = l - -8. Suppose -162 = -z*q - 54. What is the tens digit of q? 3 Suppose 3*a + 3601 = 74*w - 72*w, 0 = -4*w + a + 7207. What is the tens digit of w? 0 Suppose -5*g - 5 - 5 = 3*p, -15 = -g - 4*p. Let r(s) = -s**2 - 6*s. Let m be r(g). Suppose -m*n + 144 = -26. What is the tens digit of n? 3 Suppose 0 = 4*q + d + d + 70, 3*q + 51 = -3*d. What is the hundreds digit of ((-370)/(-15))/((-4)/q)? 1 Suppose -3*l + 1031 = 2*p - 471, 4*l + 4*p = 2008. Let b = -332 + l. What is the hundreds digit of b? 1 Let o = 13 - 8. Suppose -3*y - 12 = o*d - 5*y, -5*d = y + 9. Let j(i) = i**2 + i - 1. What is the units digit of j(d)? 1 Let i = 4 + -9. Let y(l) = 19*l**3 - 3*l**2 - 2*l + 1. Let c be y(i). What is the units digit of (-2)/(-7) + c/(-63)? 9 Let f(o) = o**3 - 9*o**2 - 6*o + 173. What is the hundreds digit of f(10)? 2 Let s be (-1)/6 + (-11)/6. Let g(h) = -22*h**3 - 2*h**2 - 6*h - 4. What is the hundreds digit of g(s)? 1 Let r(q) = -q + 7. Let n be r(5). Let c be 2 + n + 1 + -1. What is the tens digit of c/(-10) - (-670)/50? 1 Suppose 0 = 77*u - 78*u - 3*r + 3720, -5*u - 4*r + 18567 = 0. What is the thousands digit of u? 3 Let o(y) = y**3 + 22*y**2 - 57*y - 49. What is the tens digit of o(-24)? 6 Let d(f) = f**3 - 13*f**2 + 11*f - 17. Let p be d(12). Let b = 59 + p. What is the units digit of b/9*108/30? 2 Let f = -774 - -3938. What is the units digit of f?
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from mmdxmmxdxddmtxx. 2/273 What is prob of sequence jmp when three letters picked without replacement from pmppzpjplzymzjyjmjyy? 1/114 What is prob of sequence ln when two letters picked without replacement from {n: 6, l: 6}? 3/11 Four letters picked without replacement from {j: 1, l: 1, g: 2, w: 2, z: 2}. What is prob of sequence lwwz? 1/420 What is prob of sequence ay when two letters picked without replacement from yzhpzuaha? 1/36 Calculate prob of sequence ool when three letters picked without replacement from {l: 1, o: 3, n: 1}. 1/10 What is prob of sequence dp when two letters picked without replacement from {p: 2, n: 3, h: 7, o: 5, d: 1, w: 2}? 1/190 Calculate prob of sequence ccoo when four letters picked without replacement from cococcocccooc. 28/429 Three letters picked without replacement from {l: 4, n: 5, g: 1, v: 5}. Give prob of sequence lng. 2/273 Calculate prob of sequence fu when two letters picked without replacement from ueheefheehufe. 1/39 Calculate prob of sequence rbr when three letters picked without replacement from {r: 6, b: 4}. 1/6 Calculate prob of sequence ppu when three letters picked without replacement from pgquptgtqgtppptupu. 5/272 What is prob of sequence at when two letters picked without replacement from {a: 1, t: 3}? 1/4 Four letters picked without replacement from {r: 3, h: 2, x: 3, l: 9, k: 2}. Give prob of sequence xhlk. 3/2584 Three letters picked without replacement from oroorbzio. Give prob of sequence roo. 1/21 Two letters picked without replacement from zqnbubu. What is prob of sequence qu? 1/21 Four letters picked without replacement from yyqqqqyqeeeyh. What is prob of sequence qhyy? 1/286 Two letters picked without replacement from wbwwbw. What is prob of sequence bb? 1/15 Two letters picked without replacement from lxjaa. Give prob of sequence ja. 1/10 Four letters picked without replacement from {n: 3, h: 11}. Give prob of sequence hnnn. 1/364 Two letters picked without replacement from {g: 9, o: 1, z: 7, s: 2}. What is prob of sequence gs? 1/19 Calculate prob of sequence pz when two letters picked without replacement from {z: 7, p: 1, b: 2, y: 6, t: 1}. 7/272 What is prob of sequence hh when two letters picked without replacement from {e: 2, h: 4}? 2/5 Calculate prob of sequence rr when two letters picked without replacement from {p: 1, b: 1, r: 2, h: 1}. 1/10 Three letters picked without replacement from {c: 2, s: 1, z: 2, h: 1, u: 1, j: 1}. Give prob of sequence zzh. 1/168 Four letters picked without replacement from {e: 6}. What is prob of sequence eeee? 1 What is prob of sequence scvv when four letters picked without replacement from svvccccssscsc? 1/286 Two letters picked without replacement from {w: 1, a: 1, g: 1}. What is prob of sequence wa? 1/6 Two letters picked without replacement from {j: 2, z: 2, i: 7}. What is prob of sequence jj? 1/55 What is prob of sequence ru when two letters picked without replacement from rzrzmzrrzzrzzzurrz? 7/306 What is prob of sequence pss when three letters picked without replacement from usrprspruspppprrp? 7/680 Three letters picked without replacement from {z: 2, y: 1, n: 1, r: 1, h: 2}. Give prob of sequence rrz. 0 What is prob of sequence xfgx when four letters picked without replacement from {o: 2, i: 1, p: 3, g: 1, x: 3, f: 1}? 1/1320 Calculate prob of sequence pff when three letters picked without replacement from ffffpffp. 5/28 Four letters picked without replacement from zozojzojjjzzooooo. Give prob of sequence ojzo. 1/51 Two letters picked without replacement from zzhfhzzazzhz. Give prob of sequence hz. 7/44 What is prob of sequence jq when two letters picked without replacement from {j: 1, y: 1, q: 1, p: 2, i: 2, k: 1}? 1/56 Two letters picked without replacement from lss. Give prob of sequence ss. 1/3 Calculate prob of sequence eeo when three letters picked without replacement from {o: 1, e: 2}. 1/3 What is prob of sequence hhr when three letters picked without replacement from {r: 6, h: 13}? 52/323 Calculate prob of sequence uuu when three letters picked without replacement from utut. 0 Three letters picked without replacement from {t: 1, g: 1, h: 2, v: 1}. What is prob of sequence hth? 1/30 Calculate prob of sequence ofr when three letters picked without replacement from ofrf. 1/12 Calculate prob of sequence yg when two letters picked without replacement from ywwgyuq. 1/21 Calculate prob of sequence jrj when three letters picked without replacement from {r: 5, t: 1, j: 5}. 10/99 Three letters picked without replacement from ppgrrgugurrrrgrgurrr. Give prob of sequence gpu. 1/228 Four letters picked without replacement from unnnnnunwniwnnnnuinn. What is prob of sequence uiwu? 1/4845 Two letters picked without replacement from uxxub. What is prob of sequence xx? 1/10 Four letters picked without replacement from uuuuuuuuu. Give prob of sequence uuuu. 1 What is prob of sequence xgxg when four letters picked without replacement from {x: 11, g: 9}? 22/323 What is prob of sequence ass when three letters picked without replacement from {a: 4, s: 7}? 28/165 Two letters picked without replacement from {w: 1, n: 1, r: 1}. Give prob of sequence wr. 1/6 What is prob of sequence bg when two letters picked without replacement from qbbqgqb? 1/14 Two letters picked without replacement from {h: 2, g: 2}. Give prob of sequence hh. 1/6 Four letters picked without replacement from wawjj. Give prob of sequence awwj. 1/30 Four letters picked without replacement from nnnaaaaanaaaan. What is prob of sequence naan? 60/1001 Three letters picked without replacement from {o: 4, c: 2, b: 7}. Give prob of sequence bbb. 35/286 Two letters picked without replacement from {j: 10, y: 10}. What is prob of sequence yj? 5/19 Calculate prob of sequence xp when two letters picked without replacement from {x: 1, u: 4, p: 3}. 3/56 Two letters picked without replacement from {m: 1, o: 1, f: 5, k: 3}. What is prob of sequence km? 1/30 What is prob of sequence zzz when three letters picked without replacement from mmmmmmmzmmmmzmmmzmmm? 1/1140 What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjjj? 1 Four letters picked without replacement from kdohidvdiidkvdi. Give prob of sequence vivo. 1/4095 Calculate prob of sequence ouii when four letters picked without replacement from tichtiuouhiu. 1/660 Calculate prob of sequence fk when two letters picked without replacement from azfffkkfb. 1/9 Three letters picked without replacement from ohhohohooooooooooo. Give prob of sequence hoh. 7/204 Four letters picked without replacement from {m: 7, u: 3, r: 4, b: 1, f: 1}. Give prob of sequence fuum. 1/1040 What is prob of sequence ftc when three letters picked without replacement from {t: 1, f: 1, c: 1}? 1/6 What is prob of sequence cgcg when four letters picked without replacement from cgcgg? 1/10 What is prob of sequence ud when two letters picked without replacement from zllxauzlxaldl? 1/156 Calculate prob of sequence ht when two letters picked without replacement from {y: 4, z: 1, h: 1, t: 7}. 7/156 Two letters picked without replacement from cccccccccccr. What is prob of sequence rc? 1/12 Calculate prob of sequence ll when two letters picked without replacement from lhltl. 3/10 Calculate prob of sequence mvrr when four letters picked without replacement from vrvoovrlooml. 1/1980 What is prob of sequence ff when two letters picked without replacement from {t: 9, q: 2, f: 2}? 1/78 Calculate prob of sequence xxxn when four letters picked without replacement from {d: 4, x: 6, c: 1, n: 3}. 15/1001 Four letters picked without replacement from {r: 1, j: 3, n: 2, t: 1}. Give prob of sequence rjjn. 1/70 Two letters picked without replacement from {k: 2, t: 1, f: 1, d: 2, w: 1}. What is prob of sequence tk? 1/21 Three letters picked without replacement from {n: 9, g: 4, d: 2, k: 4}. What is prob of sequence ggk? 8/969 Two letters picked without replacement from nbnbbbbbnb. Give prob of sequence bb. 7/15 What is prob of sequence oohr when four letters picked without replacement from ccqhqqcqcccooocrc? 1/9520 Four letters picked without replacement from sxgsssgqsoxssx. Give prob of sequence gxog. 1/4004 What is prob of sequence yty
{ "pile_set_name": "DM Mathematics" }
s -13 bigger than p? False Let s be 4/(-2) + -2 + 2. Is -1 at most s? False Let z = -39 + 43. Is 2 smaller than z? True Let c(a) be the second derivative of a**4/12 + 3*a**3/2 + 4*a**2 - 2*a. Let h be c(-8). Let i = 3 - 2. Which is greater: i or h? i Suppose 3*z + 4*k - 191 = 0, -6*z - 4*k = -z - 329. Are 2/3 and z equal? False Let z be (2/8)/(6/8). Let w = 0.6 + -2.6. Which is smaller: z or w? w Let i = 0 - -5. Suppose -4*q = -k - i, k = 2*q + 3 - 6. Which is greater: q or 0? q Suppose 19 = -i - 4*q, -3*i + q + 0*q = -8. Let o be (i/2*0)/1. Are 0 and o nonequal? False Suppose 0 = 2*o - 6 + 2, 4*z - 978 = -5*o. Let q = 961/4 - z. Is q at most -3? False Let b = 3422/9 + -249812/657. Which is bigger: 0 or b? 0 Let f(u) = -u**2 - 4*u + 6. Let z be f(-5). Let m = z + -3. Which is bigger: 3/2 or m? 3/2 Suppose z - 2*z = 2*s + 2, -4*z = -5*s - 5. Which is bigger: -3/61 or z? z Let m = 162 + -151. Which is smaller: 13 or m? m Let f = -6 + 10. Let c = f - 4. Is c at most -1? False Let z(c) = 7*c**3 + 2*c**2 + 2*c + 1. Let d be z(-1). Let o(b) = b**2 + 3*b - 6. Let v be o(d). Is v bigger than 13? False Suppose 4 = -i - 3*z, -i - i - 5 = 3*z. Which is smaller: i or -2/11? i Let h be (2/(-114))/((-4)/12). Which is greater: h or 1? 1 Let n be 2 + 4 + -1*2. Let s be (1 + -2)/((-2)/n). Let l = 0.1 + -0.2. Is s <= l? False Let a(b) = -5*b**3 - 9*b**2 + b + 5. Let y(o) = -4*o**3 - 8*o**2 + 4. Let j(f) = 5*a(f) - 6*y(f). Let i be j(4). Is i equal to 5? True Let o = -17 - -22. Is o < 0? False Let j(a) = -1. Let l(n) = -n + 2. Let i(y) = 2*j(y) + l(y). Let w be i(-2). Suppose 0 = 4*x - 2*x. Which is greater: w or x? w Let a be 5/4 - 4/16. Is a greater than or equal to 15/8? False Suppose 0 = -4*i + 2*i. Suppose -q - 5*p - 14 = 0, 2*p = -6 - i. Is -1 <= q? True Let w = 9 + -1. Let t be (w/54)/((-4)/6). Is t greater than or equal to 0? False Suppose 5*k = -4*x + 83, -2*x + 2*k + 43 = -3. Is x greater than 22? False Suppose -10*x + 7*x = 0. Which is bigger: -1/21 or x? x Let u = 33/20 + -5/4. Which is bigger: -3.1 or u? u Let y be -3*15/(-9) - -1. Suppose 0 = y*r - r + 5. Is r greater than or equal to -2? True Suppose 2*d + d + 36 = -3*p, -5*d = 0. Is p less than or equal to -11? True Let u be (-4 - -7) + 1*3. Let l = u + -5. Let p be ((-1*2)/2)/11. Which is greater: p or l? l Let n = -4 - -4. Let k = -1 - n. Let f = 0 + -1. Is k at least as big as f? True Let f = 25/22 - -15/11. Let b = -3.1 - -3.3. Do b and f have the same value? False Let a = -25817/6 - -4290. Let i = a - -27/2. Which is smaller: 0 or i? 0 Let o be (-48 - -42)*(-1 + (-2)/(-4)). Let l be 6/(-8)*-2*-2. Are o and l non-equal? True Let m = -1 - -0.5. Let w = m + 0.5. Does w = -7? False Let p(r) = r**3 - 11*r**2 + 12*r - 2. Let h be p(10). Let w = h - 13. Let k(q) = q**2 - 3. Let l be k(-3). Are w and l unequal? True Let n be 6/2*3*1/9. Let v = -3.02 + 0.02. Are v and n nonequal? True Let f = 16.1 + -6. Let k = 10.57 - f. Let g = k - 0.5. Is -1/3 smaller than g? True Let f = -63 - -62.5. Let m = 0.05 - 1.55. Let y = m + f. Is y >= -1? False Let j = 17.02 + -17. Is j less than 0.2? True Let a be (0 - (-32)/(-15)) + 2. Let g(b) = b - 3. Let y be g(4). Is a <= y? True Suppose 2*r = 3*r + 8. Let f = -73 - -71. Let b be f - 5/(25/r). Is b > -1/10? False Let a be 164/(-6) + 1/3. Let r be (-44)/126 + 6/a. Which is greater: r or 0.1? 0.1 Let s = 25 - 23.85. Let j = -1.2 + s. Which is smaller: j or 1/4? j Let m = 81 + -61. Which is bigger: 18 or m? m Suppose 2497 - 495 = 13*m. Is m less than or equal to 154? True Let y = -0.2 + 0.2. Let h = 0.07 + -0.11. Let i = h + -0.06. Are y and i unequal? True Let p = 1.1 - 0.1. Let o = 5 - 0. Is o > p? True Let d be -1 - (-1 + 3 + -2). Let z = d - -1. Let a(b) = -b**2 - 12*b - 11. Let f be a(-11). Is z less than f? False Let f(w) = w**3 + 12*w**2 - 14*w - 18. Let z be f(-13). Suppose -u - a - 25 = 4*u, 21 = u - 5*a. Does u = z? False Let q(a) = -a**3 - 11*a**2 + 12*a - 4. Let y be q(-12). Which is smaller: -3 or y? y Let p = -1/5 - -14/95. Do 0 and p have the same value? False Suppose -2*g + g + 18 = 4*s, 0 = 3*g - 3*s + 6. Suppose 0 = 5*j - 29 + 79. Let w be j/(-12) + (-4)/(-6). Are w and g nonequal? True Let f(r) = r - 6. Let u be f(5). Let c = -1 - u. Which is smaller: c or 2? c Suppose -4*p - v + 11 = 0, -3*p - v + 1 + 7 = 0. Suppose 0 - 3 = -p*d. Is d greater than 1? False Suppose 4*b + 4*k - 16 = 0, 5*b - 5 = -2*k + 6. Which is smaller: -2 or b? -2 Let y be 0 + (0 - -2 - 4). Suppose 3*f - 15 = 0, m + 3 = -2*f + 14. Let x = m + -3. Is x > y? False Suppose -3*h - 14 = -2. Let o = h + 3. Suppose -3*p + 6 = -3*v, -5*p - 5 = v + 9. Which is smaller: o or p? p Let c(r) = 8*r + 6. Let d be c(2). Suppose 4*x + 70 = d. Is x greater than -11? False Let i = 26 - 27. Which is smaller: 1/6 or i? i Let m(d) = -d**2 - 7*d - 3. Let u be m(-7). Let c(z) = -11*z - 1. Let v be c(-1). Let g(x) = x - 13. Let o be g(v). Is o >= u? True Let t(m) = -m**3 - 3*m**2 + 3*m - 2. Let v = 3 - 7. Let k be t(v). Let p(b) = -b - 4. Let j be p(-5). Is k less than j? False Let u(p) = -6*p + 12. Let x be u(6). Which is greater: x or -23? -23 Let o(r) = -4*r**2 + r + 2. Let h be o(2). Let l(t) = -t**3 - 15*t**2 + 2*t + 19. Let j be l(-15). Which is bigger: h or j? j Let x(s) = -s**3 - 24*s**2 + 24*s - 28. Let t be x(-25). Let p be 2/2*(-3 - 0). Let d = -7 - p. Which is smaller: d or t? d Let s(d) be the third derivative of d**5/60 + d**4/4 + 5*d**3/6 - d**2. Let p be s(-5). Let o be -1 - (-1 - p/(-3)). Which is smaller: o or -1/6? -1/6 Let p = 74 + -54. Which is greater: p or 18? p Let l = 16 + -114/7. Which is smaller: l or -1? -1 Suppose -3*l = 1 - 7. Suppose -n = l*n. Which is greater: 1 or n? 1 Let q be 4 - 2*3/6. Suppose -4 = 3*g + 2*v - 0, 3*g = q*v + 21. Suppose a + a - 2 = 0. Which is smaller: g or a? a Let a = 13 - 10. Let j = -1 + a. Which is smaller: 1 or j? 1 Let p(q) = q**3 + 4*q**2 - 2*q + 1. Let o be p(-4). Suppose -2*c - o = f - 5*c, 0 = -3*f - c + 3. Let m be 12/16 + 0 + -1. Which is smaller: f or m? m Let j = -1/25 - 22/75. Which is greater: -8 or j? j Let t = -0.4 - -0.3. Let d be (-1571)/((-2)/1 - 9). Let k = d + -143. Which is bigger: k or t? t Let g = -0.12 - 0.58. Let d = 0.3 - g. Which is greater: -0.1 or d? d Let t = 852394 + -1497656746/1757. Let s = t - 2/251. Is s equal to 0? False Let b = 774 - 3129/4. Let y = 8 + b. Which is smaller: 2/3 or y? y Let t be (0/(-2 - 0))/(-1). Let n be ((-50)/20)/(15/(-12)). Are n and t equal? False Let w = -55/42 + -4/21. Let p(f) = -f - 6. Let t be p(-5). Which is bigger: t or w? t Let n(x) = -x**2 + 5*x + 6. Let o be n(6). Suppose -3*u = -o*u + 6. Is 0 at least u? True Let z = -6/19 - 20/57. Are -0.1 and z unequal? True Let c be 3*(2/(-3) - -2). Let r = -4 + 5. Let n be (r - -5)*(-7)/(-14). Is n != c? True Let x be (-15)/(-6)*(-44)/3685. Is 1 equal to x? False Let r be (-6)/(-21) + (-208)/(-7). Suppose -4*i - 5*n = -24, -r = -4*i - i - 2*n. Are i and 6 non-equal? False Let v = -5 - -5. Suppose v = s - 2*s - 1. Which is smaller: s or -2/7? s Let n = -40711/3489 + 2/1163. Does -11 = n? False Let l = 76/55 + -24/11. Let p(s) = s**2 + 6*s + 5. Let i be p(-5). Which is greater: i or l? i Let d = 114 + -94. Which is bigger: d or 41/2? 41/2 Suppose 2*t + 7 = -n - 14, 2*t + 15 = n. Is 0.1 <= t? False Let m = 136 + -136. Which is smaller: 2/3 or m? m Let n be 0*1/(-3) - 2. Let s be 5/((-100)/(-69)) - 3. Let g = -1/5 + s. Are n and g non-equal? True Let q = -1 + 5. Suppose 12 = 2*r + 2*r. Which is bigger: r or q? q Let t be (-48)/(-36) - (-1)/6. Are t and -2/9 nonequal? True Let z = 1.5 + -1.59. Let l = z - -1.09. Which is greater: l or 2? 2 Let w = -3 + 7. Let s = -5 + w. Is s <= 1/3? True Suppose 0*y + 5*y - 3*i = -14, 5*i = -2*y + 13. Let m(d) = d**3 - 10*d**2 + 10*d - 12. Let q be m(9). Which is smaller: q or y? q Let f = 72 - 72. Do -1/47 and f have the same value? False Let z = -3 - -2. Does z = -16? False Let l = 54 + -32. Let a = l - 16. Let m = 5.9 - a. Are m and -1 unequal? True Suppose -2*v - y = -v - 2, -4*v + 3*y + 43 = 0. Let n be (1*23)/(v/51). Let i = -167 + n. Which is greater: i or 1? 1 Let x be 3*6/9 - 3. Does 2 = x? False Let k(l) be the first derivative of -l**4/4 + 4*l**3/3 + 2*l**2 - 10*l - 3. Let r be k(5). Is -14 bigger
{ "pile_set_name": "DM Mathematics" }
8830 - -5858889.50494. Let h = -59.5 + z. Round h to four dps. 0.0049 Let s = 0.4614582913 + -0.505127068. Let p = -16.1563305133 + s. Let z = p - -16.2. Round z to seven dps. 0.0000007 Let c be 8/(6/(-1267452)*-6). Let v = c - 197656. Round v to the nearest ten thousand. 80000 Let p = -4.86310111 - 211.13702959. Let u = 216 + p. What is u rounded to six dps? -0.000131 Let l = -127 - -14. Let t = -115.3 - l. Round t to zero decimal places. -2 Let t(x) = 982692*x**2 - 121*x + 10. Let s be t(10). Round s to the nearest 1000000. 98000000 Let c = 1282.56 - 1452. What is c rounded to zero decimal places? -169 Let c = -10.481 + 10.4809988478. Round c to seven decimal places. -0.0000012 Let b = -7.28 + 7.2788. Let q = b + 0.0012001728. Round q to 7 decimal places. 0.0000002 Let a = -262675177 - -262675176.299997356. Let k = a + 0.7. Round k to seven decimal places. -0.0000026 Let v = 6.92 + -574.92. Let m = 568.0000677 + v. What is m rounded to four decimal places? 0.0001 Let g = 696.81 + -690. Let w = -244 - -236.4. Let r = w + g. Round r to one decimal place. -0.8 Let d = 353567.259 + -353804. Let v = -236 - d. Let m = v + -1.492. Round m to one dp. -0.8 Let z = 3272 + -3271.99991832. Round z to five dps. 0.00008 Suppose j - 5*n + 21023990 = 0, -44*j + 42*j - 42047996 = -2*n. What is j rounded to the nearest one hundred thousand? -21000000 Let i(y) = -15*y - 70. Let m be i(-8). Let h be 400/3*36150/10*m. What is h rounded to the nearest 1000000? 24000000 Let l = -71 - -65. Let h be 3*-454*(-10)/l. What is h rounded to the nearest one thousand? -2000 Let y = 316611158 - 89731158. What is y rounded to the nearest 1000000? 227000000 Let d = 883059633.0417022106 - 0.0417022106. Let u = d + -883059638.02000631. Let h = u - -5.02. Round h to 6 decimal places. -0.000006 Let p = 1859.1275 - 3.4275. Round p to the nearest 100. 1900 Let k = -3880.99995649 + 3881. What is k rounded to five dps? 0.00004 Let k = -39.07884 - -74.97538. Let a = 35.9 - k. What is a rounded to four dps? 0.0035 Let x = 2.91 + -11.51. Let a = -8.6000957 - x. Round a to 5 dps. -0.0001 Let m = -8764.999997723 + 8765. Round m to six decimal places. 0.000002 Let q = -2344.75932 - -3327.75359. Let z = q - 983. Round z to three decimal places. -0.006 Let p = -60 + 59. Let v be 191/(512/(-1524)*-3 + p). Suppose v = 5*m - o - 1220745, -2*m + 498008 = -4*o. What is m rounded to the nearest ten thousand? 250000 Let s = -8.1667 - -2.2152. What is s rounded to two decimal places? -5.95 Let j = -124 - -126. Let t(u) = 78899996*u**2 + 9*u - 2. Let s be t(j). Suppose -11*x - s = -7*x. What is x rounded to the nearest one million? -79000000 Let v = -12.13 - -28.47. Let g = v + -7.37. Let t = g + -9. What is t rounded to 2 dps? -0.03 Let r = -514020067648.29137431 - -510773163504.991375. Let v = r + 3246904158. Let h = v + -14.7. Round h to 7 decimal places. 0.0000007 Suppose -2*h - 31752 = -6*h. Let v = h - 14408. Round v to the nearest 1000. -6000 Let i = -3.2067 - 2.2361. Round i to 0 decimal places. -5 Let q = -984 + 253. Let w = q - -866.4. Round w to the nearest 10. 140 Let q = 829 + -2170. Let r = 935 + q. Let k = r - -406.00229. Round k to four dps. 0.0023 Let p = 3 + -35. Let j = p - -31.5. Let i = j + -0.34. What is i rounded to one decimal place? -0.8 Suppose h - 377350 = -5*d, 213266 + 13172 = 3*d - 5*h. What is d rounded to the nearest 10000? 80000 Let f = -2.945 + -0.105. Let d = f - -3.217. What is d rounded to one dp? 0.2 Suppose 5*w - 33 - 27 = -5*u, -3*w = 4*u - 36. Let q be (6/9)/((w/(-9))/2). Let s be (-9256)/(-32) - q/(-4). Round s to the nearest 100. 300 Let k = -50538190 - -50538188.19999924. Let b = -1.8 - k. What is b rounded to 7 decimal places? 0.0000008 Let f = -2.94 - -54.94. Let r = 40.716 - -11.3. Let w = r - f. What is w rounded to two decimal places? 0.02 Let n = 2801573.869 - 2799599. Let p = 1974 - n. Round p to two decimal places. -0.87 Let u = -7 - -11. Suppose -2*o - 4 = 0, 2*z - u*o - 2910 = o. What is z rounded to the nearest 1000? 1000 Let x(j) = 4894*j + 4. Suppose -8*f - 3*f - 11 = 0. Let m be x(f). What is m rounded to the nearest one hundred? -4900 Let p = 828053946.999653 + -828054462. Let t = p + 515. What is t rounded to 5 decimal places? -0.00035 Let c(l) = 12114*l**2 + 40*l + 150. Let t be c(-5). What is t rounded to the nearest ten thousand? 300000 Let a = 23769 + -108997. Let t = 122328 + a. What is t rounded to the nearest one thousand? 37000 Let n = 10 + -42. Let o = -436119.0019 - -436151. Let u = o + n. Round u to 3 dps. -0.002 Let q = -0.26466151 - 18.53063744. Let i = q - 423.20481885. Let f = i - -442. Round f to 5 dps. -0.00012 Let z = 3411.987065 + -3412. What is z rounded to three decimal places? -0.013 Let h = 0.225 + 107.775. Let w = -108.0058 + h. Round w to 3 decimal places. -0.006 Suppose 5*b + 16 = b, -m = -b - 15. Let i(j) = j**3 - 12*j**2 + 10*j + 14. Let x be i(m). Suppose x*s = 12, s + s = -a - 147. Round a to the nearest 10. -160 Let b = 2231 - 1178. Round b to the nearest one thousand. 1000 Let z = 0.119 - 0.06. Let u = z + -1.099. Let n = 1.0449 + u. Round n to 3 dps. 0.005 Let o = 4.95 - 4.8935. Let k = o + 15.1835. Round k to the nearest integer. 15 Let z = -1706.6 - -153.6. Let v = z - -1559.87. What is v rounded to zero decimal places? 7 Let h(v) = -10262491*v - 509. Let p be h(1). What is p rounded to the nearest 1000000? -10000000 Let h = 466447.5 + -467228.4589. Let l = h - -781. Let p = l + -35.1411. What is p rounded to 0 decimal places? -35 Let l = -1.07 + 21.17. Let k = l + -19.919. Let o = -0.31 + k. What is o rounded to 2 decimal places? -0.13 Let w = -1 - -1.032. Let v = -0.002 + w. Let b = v + 0.38. What is b rounded to 1 dp? 0.4 Let j = -14900.4356 + 15079.5. Let m = j - 0.1644. Round m to the nearest 10. 180 Let h = -171 + 172.3628. Round h to one decimal place. 1.4 Let r = -0.4224 - -0.455. Let i = 134.2674 + r. What is i rounded to the nearest ten? 130 Let v = 16.86001544 - 16.86. What is v rounded to 6 dps? 0.000015 Let v = 4.9 + -4.948. Let a = v + 13.548. Round a to the nearest integer. 14 Let k = -662.04405 - -661.8. What is k rounded to 3 dps? -0.244 Let q = 42.06 - 271.76. What is q rounded to the nearest 1000? 0 Let a = -154996.0000081841 + 154996. Round a to 6 decimal places. -0.000008 Let g = 0.00436371 - 0.00431. Round g to six dps. 0.000054 Let h = -23.23581 + 23.2. Let k = -0.0355939 - h. Round k to five dps. 0.00022 Suppose 15*u + 29 = 104. Suppose -u*w + f - 5*f + 17584 = 0, -4*f = -w + 3536. What is w rounded to the nearest 100? 3500 Let h = -60 - -54. Let o be -3 - h - (-1)/(-1). Suppose 0 = -6*x - o*x - 79200. What is x rounded to the nearest 1000? -10000 Let n = -152.8399 - -153. Let l = 0.0863 - n. What is l rounded to 2 dps? -0.07 Let t(g) = -31*g - 99. Let d be t(-3). Let s(w) = 9863*w**3 + 12*w**2 + 3*w - 6. Let v be s(d). What is v rounded to the nearest 1000000? -2000000 Let i = 7.24 + -37.94. Let u = 31 + i. Let o = u - 0.300003. Round o to seven dps. -0.000003 Let n = 0.57 - 2.27. Let m = n + 0.3. Let f = -1.39999978 - m. What is f rounded to 7 decimal places? 0.0000002 Let i = -86.3794 - 0.0206. Let v = i - -86.400004364. What is v rounded to six decimal places? 0.000004 Let r(w) = -710*w**2 - 2*w - 2. Let o be r(4). Let p(q) = -30*q - 21970. Let l be p(0). Let u = o - l. Round u to the nearest 1000. 11000 Let w = 88841.9999953157 - 88842. Round w to seven decimal places. -0.0000047 Suppose j = -4*r - 11900402, -11*r + 16*r + 7*j + 14875514 = 0. What is r rounded to the nearest ten thousand? -2980000 Let o = -20.17312 - 458.18648. Let v = 479 + o. Let q = 0.65 - v. What is q rounded to three dps? 0.01 Let f = -14.965 + 15. Let z = -0.115 + f. Let w = -0.48 + z. What is w rounded to one decimal place? -0.6 Let f be (-3 - (3 + -12)) + 317101. Let l = f - -1082893. What is l rounded to the nearest one hundred thousand? 1400000 Let f be (-3631 + 11)*(-7)/((-105)/(-25))*-5250. What is f rounded to the nearest 1000000? -32000000 Let x be 3/((-6)/(-14))*(-34 + 1). Let f be -457*x/(2 + 44/(-20)). Let q = -272165 + f. Round q to the nearest one hundred thousand. -800000 Let r = 37.4 + -37.8. Let b = r - -0.399633. Round b to five decimal places. -0.00037 Let n(z) be the second derivati
{ "pile_set_name": "DM Mathematics" }
ond derivative of g(b). Find the first derivative of j(s) wrt s. 15*s**2 Let y(r) be the third derivative of 69*r**7/35 - 449*r**4/24 - 331*r**2. What is the second derivative of y(t) wrt t? 4968*t**2 Let p be 1/((-3)/9) + 7. Find the third derivative of -3*v**6 - 12*v**2 + 4*v**4 - 4*v**p wrt v. -360*v**3 Let m(g) = 16*g**3 - g**2 + 57*g - 2. Let o(r) = 32*r**3 - 3*r**2 + 117*r - 5. Let x(k) = -5*m(k) + 2*o(k). What is the second derivative of x(h) wrt h? -96*h - 2 Suppose -5*s = -4*a + 33, 0 = a + 35*s - 31*s + 18. Suppose 26 = 4*v - 3*i + i, 0 = 5*v - 4*i - 40. Differentiate 5*d - 5*d + 3 - v*d + a*d wrt d. -2 Let r(d) be the first derivative of -29*d**5/5 + d**4/4 + 233*d**2 - 8. What is the second derivative of r(x) wrt x? -348*x**2 + 6*x Suppose 5*u = -2*v + 5, 3*v + 3*u - 3 + 0 = 0. Suppose q + 25 = 4*z, z + q - 5 = -v*q. Find the second derivative of 5*t**4 + t + 5*t + z*t**4 - 18*t**4 wrt t. -84*t**2 What is the first derivative of -10*t - 468 - 19986*t**2 + 19986*t**2 - 3*t**4 wrt t? -12*t**3 - 10 Suppose -3*l + 3 = 2*u, 0 = 5*l - 2*l - 5*u - 3. Let h(z) = 13*z - 6. Let x(y) = -y - 1. Let f(o) = l*h(o) + x(o). Differentiate f(s) wrt s. 12 Suppose -2*w - 64 + 68 = 0. Differentiate -13 - 3 + 21*x**2 - w - 7 with respect to x. 42*x Let t be -4 + (55 - 3) + -1. Find the second derivative of -10*l + 7*l**5 - t*l**5 - 14*l wrt l. -800*l**3 Let n(f) be the first derivative of 10*f**3/3 + 133*f**2/2 + 75. What is the second derivative of n(q) wrt q? 20 Let p(v) be the second derivative of v**7/21 - v**4/3 - v**3/6 - 5*v - 7. Find the third derivative of p(f) wrt f. 120*f**2 Let g(f) = -f**3 - 146*f**2 - 334*f + 8. Let q(b) = -b**3 - 97*b**2 - 223*b + 5. Let s(v) = 5*g(v) - 8*q(v). Find the second derivative of s(n) wrt n. 18*n + 92 Find the third derivative of 90*p**3 - 10*p**2 + 15667 - 15667 wrt p. 540 Let s(o) be the second derivative of 0*o**4 - 41/20*o**5 + 5*o - 9*o**2 + 0 + 0*o**3. Differentiate s(n) with respect to n. -123*n**2 Suppose -16 = -62*h + 58*h. Let a(s) be the second derivative of 0*s**h + 0 - s - 1/10*s**5 + 0*s**3 - s**2. Differentiate a(f) wrt f. -6*f**2 Let u be ((-1)/2)/(6/(-3)). Let h(c) be the second derivative of -5/6*c**3 + 0*c**4 - u*c**5 + 0 + 0*c**2 - 4*c. What is the second derivative of h(z) wrt z? -30*z Let o(p) = -154*p + 516. Let b(t) = -t - 1. Let v(z) = -3*b(z) - o(z). Differentiate v(d) with respect to d. 157 Let w(g) be the third derivative of -5/21*g**7 + 0 + 0*g**3 - 5/12*g**4 + 0*g + 0*g**6 + 1/60*g**5 - 57*g**2. What is the third derivative of w(l) wrt l? -1200*l Differentiate 15 - 105 - 48*x**2 - 60*x**2 wrt x. -216*x Suppose -5*s = -6 - 4. Differentiate -299*p**3 - 2*p**s + 2*p**2 + 298*p**3 + 10 with respect to p. -3*p**2 Let q(x) = -x**3 - 2*x**2 - x + 1. Let l(n) = -16*n**4 - 2*n**3 - 15*n**2 - 2*n + 1. Let s(i) = -l(i) + 2*q(i). What is the third derivative of s(w) wrt w? 384*w Let w(u) = -4*u**2 + 4*u - 41. Let p(z) be the first derivative of z**3 - 5*z**2/2 + 42*z - 4. Let y(h) = 4*p(h) + 5*w(h). Differentiate y(s) wrt s. -16*s Suppose -4*v + 24 = -4*l, 0 = v + 6*l - 4*l + 6. What is the third derivative of 350*t**4 + 33*t**v - 306*t**4 - 3*t**2 wrt t? 1056*t Differentiate -1903 + 71*y + 39*y + 1794 with respect to y. 110 Let s(z) be the second derivative of -z**7/105 - z**4/2 + z**2 + 12*z. Let d(x) be the first derivative of s(x). What is the second derivative of d(i) wrt i? -24*i**2 Let l = -35 - -38. Find the third derivative of -l*s**3 + 0*s**3 + 7*s**2 - 2*s**3 wrt s. -30 Let f(s) be the second derivative of s**8/14 - 17*s**6/30 - s**4/12 - 107*s**3/6 - 18*s - 3. What is the third derivative of f(w) wrt w? 480*w**3 - 408*w Let t(n) = -2*n**3 + n**2 + 5*n + 64. Let b(o) = -o**2 + o + 1. Let g(j) = -5*b(j) + t(j). What is the derivative of g(l) wrt l? -6*l**2 + 12*l Let q = -11 - -18. Let m(g) = -g**3 + 6*g**2 + g - 2. Let o be m(6). Find the second derivative of -10*p**4 + q*p**o + 6*p**4 - 6*p wrt p. 36*p**2 Let r(o) be the second derivative of 0*o**7 + 0*o**2 + 0*o**3 + 0*o**5 + 10*o + 0*o**6 + 0 + o**4 - 11/28*o**8. What is the third derivative of r(z) wrt z? -2640*z**3 Let j = -48 + 70. Find the third derivative of j*q**3 + 21*q**2 - q**3 + q**3 wrt q. 132 Let n(p) be the first derivative of p**7/3 - 19*p**3/3 + 42*p - 31. Let z(r) be the first derivative of n(r). What is the second derivative of z(k) wrt k? 280*k**3 Let o(j) be the first derivative of 0*j + 5/2*j**2 + 10 - 5/3*j**3. What is the second derivative of o(f) wrt f? -10 Let k(t) = -3*t + 18. Let r be k(8). Let v = r + 8. What is the derivative of v*c**4 - 9*c + 9*c + 10 wrt c? 8*c**3 Let c be 2/(-8) + (-147)/(-12). Let h = 17 - c. Find the third derivative of -2*a**4 - h*a**2 - a**4 - 3*a**4 wrt a. -144*a Suppose 11*c - 54 = -7*c. Let n = 9 - -20. Find the second derivative of -n*g**3 + 29*g**c + 6*g**5 + 9*g wrt g. 120*g**3 Let j(t) be the third derivative of -43*t**7/35 + 30*t**3 - t**2 - 29*t. What is the derivative of j(d) wrt d? -1032*d**3 Suppose 4*s + m = 16, 0 = -5*s + 2*m + 5 + 15. Let z be 3/(-1) + 3 + s. What is the third derivative of 14*j**4 - z*j**2 - j**2 - 18*j**4 wrt j? -96*j Let a(w) be the second derivative of 4*w**6/45 - 7*w**4/8 - 3*w**3 + 2*w. Let l(n) be the second derivative of a(n). What is the first derivative of l(s) wrt s? 64*s Differentiate -123*n**2 + 58*n**2 + 66*n**2 - 75*n**4 - 66*n**4 - 874 wrt n. -564*n**3 + 2*n Let q(d) be the third derivative of -1/8*d**4 + 0*d + 0*d**3 + 0*d**6 - 31/210*d**7 + 0*d**5 - 13*d**2 + 0. What is the second derivative of q(g) wrt g? -372*g**2 Find the third derivative of 69*g**6 + 98*g**2 + 37*g**6 - 57*g**6 + 69*g**6 wrt g. 14160*g**3 Let z(h) = -h**3 - 17*h**2 + 17*h - 13. Let x be z(-18). What is the derivative of -x*a**3 + 7*a**3 + 10 + 10*a**3 + 8*a**3 wrt a? 60*a**2 Suppose 2*u = -3*x + 17 + 89, -3*x + 4*u + 76 = 0. What is the third derivative of x*j**3 + 70*j**2 - 25*j**2 - 35*j**2 wrt j? 192 Let c(p) = 8*p**3 + 3*p**2 - 7*p + 4. Let l(g) = g**2 - g - 1. Let x(u) = -c(u) + 3*l(u). Find the second derivative of x(s) wrt s. -48*s Suppose -u - 2*j + 35 = 0, 3*u - 47 = -5*j + 62. Let g be 6/27 + u/9. Differentiate 2 - 3 + 2*a - g + 0 wrt a. 2 Let q(b) = 112*b - 249. Let v(r) = -110*r + 247. Let h(i) = 4*q(i) + 3*v(i). Find the first derivative of h(n) wrt n. 118 Find the second derivative of 498*v**4 + 59250*v**3 - 299*v - 59250*v**3 wrt v. 5976*v**2 Suppose l = 2 + 2. Let w(q) = -q + 5. Let x be w(2). What is the first derivative of -j**l - x*j**4 - 34 + 31 wrt j? -16*j**3 Let q(j) = -j**3 + 6*j**2 + 7*j + 16. Let d be q(7). What is the third derivative of -10*y**2 + 27*y**4 - d*y**4 + 2*y**2 wrt y? 264*y Let c be ((-18)/27)/((-2)/48). What is the second derivative of -c*n**2 + 8*n - 13*n - 10*n wrt n? -32 Let u(f) = -7*f**5 + 18*f**2 + 7*f + 79. Let y(x) = 14*x**5 - 36*x**2 - 15*x - 157. Let m(s) = -13*u(s) - 6*y(s). Find the second derivative of m(n) wrt n. 140*n**3 - 36 Let f(g) be the first derivative of 180*g**3 + 6*g**2 - 7*g - 708. Find the second derivative of f(q) wrt q. 1080 Let v(f) be the second derivative of -59*f**4/4 - f**3 + f**2 + f - 7. Find the second derivative of v(r) wrt r. -354 Let p(f) = -519*f**2 + 38*f - 100. Let c(x) = 519*x**2 - 47*x + 101. Let v(j) = -4*c(j) - 5*p(j). What is the second derivative of v(d) wrt d? 1038 Let g(v) be the third derivative of v**5/6 + v**4/12 - 149*v**3/3 + 377*v**2. What is the derivative of g(d) wrt d? 20*d + 2 Let x(n) = -6*n**3 - 6*n**2 + 151*n - 447. Let v(p) = -14*p**3 - 15*p**2 + 302*p - 896. Let d(b) = -2*v(b) + 5*x(b). What is the first derivative of d(y) wrt y? -6*y**2 + 151 Let m(z) = -10*z**3 - z**2 + z. Let h be m(1). Let l = -8 - h. What is the first derivative of 0 - 22*i**2 + i**3 + 22*i**l - 2 wrt i? 3*i**2 What is the derivative of -5 - 231*a - 23 + 286 wrt a? -231 Let b(w) be the first derivative of 31*w**6/30 - 5*w**3/6 - 34*w - 33. Let c(y) be the first derivative of b(y). What is the second derivative of c(q) wrt q? 372*q**2 Suppose -89 = 5*k - x, -2*k + x = 22 + 13. Let u be (-5)/(-3) + (-6)/k. Differentiate -u*d - 2*d - 3*d + 2*d + 2 wrt d. -5 Suppose -4*s - 6 = -18. Let j(k) be the first derivative of -k**3 + 0*k**3 - 4*k**2 - 2 + k**2 + 3*k**s. Find the second deriv
{ "pile_set_name": "DM Mathematics" }
= -163 - h. Let k = -7.2943 + t. Round k to 3 decimal places. 0.006 Suppose 0 = -0*o + 4*o + 520. Let c = o - 90. Round c to the nearest one hundred. -200 Let z = -1.43400082 - -1.434. What is z rounded to 7 decimal places? -0.0000008 Let i = -2.965691 + -0.034269. Let l = -3.03 - -0.03. Let w = l - i. Round w to four dps. 0 Suppose 5*h = 2*q + 1995824, -2*q = -0*q - 3*h + 1995824. Let g = -507912 - q. Round g to the nearest one hundred thousand. 500000 Let b be 19 - (2/(-9) - 203/(-63)). Let x be 20875*(b/(-10))/((-4)/400). Round x to the nearest 100000. 3300000 Let v = 688.99999289 - 689. What is v rounded to 6 decimal places? -0.000007 Let z be (1/(-3))/(2/(-12)). Suppose -z*m - l - 586 = 4*l, -1200 = 4*m + 3*l. What is m rounded to the nearest ten? -300 Let n = 11 - 20. Let v = -9 - n. Let w = -0.00000115 + v. What is w rounded to seven dps? -0.0000012 Let y = 3.1 + -2.1. Let d = -1.00000098 + y. What is d rounded to 7 dps? -0.000001 Let z = -0.415 - -0.416485. What is z rounded to four decimal places? 0.0015 Let x = -2071 - -473. Let q = x + 1598.01203. Round q to 3 dps. 0.012 Let b = 3054 - 1398. Let v = -902 + b. Suppose v = w + w. Round w to the nearest 10. 380 Let l = 14124.99744 - 14121. Let a = l + -4. What is a rounded to 4 decimal places? -0.0026 Let o = 3.4 - 6.27. Round o to zero decimal places. -3 Let p = 10.77 - 56.79. Let c = 46 + p. Round c to 1 dp. 0 Let s = -26.785985991 + 26.786. What is s rounded to 6 dps? 0.000014 Let q = 340 + -343.706. What is q rounded to zero decimal places? -4 Let z = 7.82 - -0.18. Let n = -10.2 + z. Let c = -2.20038 - n. What is c rounded to 4 decimal places? -0.0004 Let a = 0.1115 + 18.9685. Let f = -19 + a. Let m = 0.0838 - f. Round m to three dps. 0.004 Let q = -903070567 - -903070882.9999412. Let o = -316 + q. What is o rounded to 6 decimal places? -0.000059 Let j(s) = s**3 - 10*s**2 - 5*s - 16. Let w be j(11). Let h be w/(-4 + (-958)/(-240)). What is h rounded to the nearest ten thousand? -10000 Let v = -202 - -202.00000326. What is v rounded to 6 dps? 0.000003 Let t = -377 + 539. Let r = -163.37 + t. What is r rounded to one dp? -1.4 Let z = -20 + -22. Let q = -42.0045 - z. Round q to 3 decimal places. -0.005 Suppose -5*a + 674 = -206. What is a rounded to the nearest 10? 180 Let y = 13608 - 13608.0000016254. What is y rounded to seven decimal places? -0.0000016 Let d = 209 + 427. Let n = d + -635.9422. Round n to two decimal places. 0.06 Let a = 1452763167.9999961 + -1452763090. Let y = a - 78. What is y rounded to 6 dps? -0.000004 Let z = -13.9759 - -82.9708. Let v = 69 - z. Round v to three dps. 0.005 Let b = -5932 + 5404.6. Let j = -527.6399 - b. Let x = j + 0.24. Round x to 4 decimal places. 0.0001 Let s = 24.9 - 23.915. Let u = -3 - -2. Let p = u + s. Round p to two decimal places. -0.02 Let w(j) = 149598*j**2 - 9*j + 6. Let b be w(-5). Suppose -3*r - 4*i - 3692071 = 7527933, r = -i - b. Round r to the nearest 1000000. -4000000 Let g = -264.35 + 237. What is g rounded to 0 dps? -27 Let w = 754894 + 63506. What is w rounded to the nearest one hundred thousand? 800000 Suppose 4*a + 2*z - 502798 = 0, 5*z = 3*a + z - 377104. Round a to the nearest 100000. 100000 Let x(b) = 48*b. Let k be x(-1). Let h be (2 + (-71)/(-2))*k. What is h rounded to the nearest one thousand? -2000 Let w be ((-40)/180)/(2/528)*3. Round w to the nearest 100. -200 Let u = -539 + 245. Let x = -177 - u. What is x rounded to the nearest 10? 120 Let m(b) = b**3 - 17*b**2 + 16*b + 3. Let d be m(16). Let s(c) = -15335*c + 2 + 0 + 3. Let k be s(d). What is k rounded to the nearest ten thousand? -50000 Let j(r) = r**3 - 2*r - 12200. Let c be j(0). Let h be (c/(-12))/2*1080. What is h rounded to the nearest 100000? 500000 Let u = 5.05 + -5.047176. What is u rounded to four decimal places? 0.0028 Let m be (-304919)/4 - (-63)/(-252). What is m rounded to the nearest 1000? -76000 Let z(b) = b**3 - 8*b**2 - 2*b + 16. Let l be z(8). Suppose -5*x + 13451 = -i - l*i, -2*x + 5379 = i. What is x rounded to the nearest 100? 2700 Let p = -109 + 109.00016. Round p to three dps. 0 Suppose -o + 0 = -2. Let c(h) = 4 - 2 - 319999*h + o. Let p be c(-4). What is p rounded to the nearest one hundred thousand? 1300000 Let o = 1938 - 1938.0001203. Round o to 6 dps. -0.00012 Let x = 7561.22 - 7553.12174. Let d = x + -8.1. What is d rounded to four dps? -0.0017 Let p = -0.11 - -0.13. Let c = 0.015 + 0.01. Let f = p - c. What is f rounded to 3 dps? -0.005 Let j be -8*((-4)/4 - -5) + 4. What is j rounded to the nearest 10? -30 Let x = -12 - -12.05. Let y = -45742 - -45742.050041. Let j = x - y. Round j to 5 decimal places. -0.00004 Let u = 124.999695 + -125. What is u rounded to 4 decimal places? -0.0003 Suppose -10*x + 176 = -44. Let q(n) = 3465*n**3 + 11*n**2 - 28*n - 28. Let b be q(x). What is b rounded to the nearest 1000000? 37000000 Let z = 55735.8149031 + -55791.8149. Let c = z + 56. Round c to seven dps. 0.0000031 Suppose 3*r = -4*p - 7, 4*r = 4*p + 31 - 3. Let g(k) = -1238*k**3 - 7663*k**r + 0 - 1 + 2*k. Let a be g(1). What is a rounded to the nearest 1000? -9000 Let i = 23 - 6. Let b(r) = r**2 - 17*r + 15. Let f be b(i). Let p be (-1 - -751)*10/f. What is p rounded to the nearest 100? 500 Let s = -20 - -16.5. Let t = -31.5 - s. Let h = -28.0048 - t. Round h to 3 decimal places. -0.005 Let l = -1.1103 - -1.1103004789. Round l to seven decimal places. 0.0000005 Suppose u - 257 = 1083. Round u to the nearest one hundred. 1300 Let x = -2256.246 + 2253. Let o = -3.3 - x. Round o to two decimal places. -0.05 Let p(s) = 2*s**2. Let b be p(1). Suppose -3*n - 27 = b*i + 2*n, 4*i + 9 = -n. Let c be (-2)/(2/9900001) - i. What is c rounded to the nearest 1000000? -10000000 Let l be -39*(-1)/9*3. Suppose -8550000 = 8*m - l*m. Round m to the nearest 100000. 1700000 Let g = -0.05 - -0.46. Let u = g - 0.31. What is u rounded to the nearest integer? 0 Let x = -0.065 - -26.065. Let f = -48 + x. Let a = f - -21.9999949. What is a rounded to 6 decimal places? -0.000005 Suppose 0 = 2*s + 4 - 8. Suppose s*w = 5*k - 140006, k + 2*w = 9081 + 18913. Round k to the nearest ten thousand. 30000 Let x = 24585 - 24532.355. Let s = -0.945 + x. Let q = 63 - s. Round q to the nearest integer. 11 Let t = -9 + 8.76. Let o = 5.24 + t. Let k = o + -5.000016. Round k to five dps. -0.00002 Suppose 10*u = 3*u + 9660000. Suppose -3*b + u = -b. Round b to the nearest 1000000. 1000000 Suppose z = 3*s + 96, z + 2*s = -0*z + 91. Suppose -x + 6 = x. Suppose z + 252 = -x*o. Round o to the nearest ten. -120 Let a = -876 + 875.549. Round a to one dp. -0.5 Let k = 726601.56 - 868784.9. Let m = 142200.339994 + k. Let a = -17 + m. What is a rounded to 5 decimal places? -0.00001 Let v = 339028 - 663772. Let l = 324743.8299944 + v. Let k = l + 0.17. Round k to 6 dps. -0.000006 Let a = 45 + -44.979. Let r = -0.27582 - -0.254. Let p = r + a. What is p rounded to 4 dps? -0.0008 Let z = -2.09881 - -2.108. Round z to 3 decimal places. 0.009 Let t(g) = g**3 - 2*g**2 - 3*g + 3. Let p be t(3). Suppose 3*b - 51 - p = 0. Let n be 4/b + 907200028/(-126). What is n rounded to the nearest one million? -7000000 Suppose 10*d = 955 - 3825. What is d rounded to the nearest 10? -290 Let m = 21 - 20.999999064. Round m to 7 dps. 0.0000009 Let o(q) = 367039*q**3 - 8*q**2 + 3*q + 10. Let d be o(3). Round d to the nearest one hundred thousand. 9900000 Let j = 270 + -270.000000317. Round j to seven decimal places. -0.0000003 Let w = -225.622 - -227.1. What is w rounded to 1 dp? 1.5 Let x(q) = -335890*q**3 - 3*q**2 - 20*q - 63. Let y be x(-3). What is y rounded to the nearest one million? 9000000 Let f(w) = 10*w**3 - 9*w**2 + 35*w + 16. Let k be f(7). Round k to the nearest 100. 3300 Let b(v) = -v**3 - 3*v**2 + 2*v + 3. Let r be b(-3). Let c be 3 + r + 0 + 1330. Round c to the nearest one hundred. 1300 Let y(o) = -o**3 + o**2 - o - 19. Let t be y(0). Let s = t + 24. Suppose -s*a + 0*a + 2300000 = 0. What is a rounded to the nearest 100000? 500000 Suppose 0 = 5*i + 4*p + 2, -15 = -3*i + 2*p + p. Let y(r) = 5*r - 4*r - 34*r**i - 13 + 4 + 6*r. Let k be y(9). Round k to the nearest one thousand. -3000 Let f = -1124818.999988 - -1124833. Let c = -14 + f. What is c rounded to six decimal places? 0.000012 Let z = 1067
{ "pile_set_name": "DM Mathematics" }
t) = -12*t. Give k(v(l)). 36*l Let t(r) = r**2. Let n(f) = 3035*f**2. Calculate t(n(k)). 9211225*k**4 Let v(p) = 2*p**2. Let q(l) be the third derivative of l**5/60 + l**3/2 - 33*l**2. Calculate v(q(x)). 2*x**4 + 12*x**2 + 18 Let q(w) = -w**2. Let d(p) = 3*p**3 + 2*p - 3. Let u(t) = -t**3 - t - 1. Let j(o) = d(o) + 2*u(o). Let n(h) be the first derivative of j(h). What is q(n(l))? -9*l**4 Let y(l) = -3*l**2. Let b = 5 - -1. Let o(d) = -d**2 - 8*d + 7. Let s be o(-11). Let t(v) = v. Let u(w) = 4*w. Let p(z) = b*u(z) + s*t(z). What is y(p(q))? -12*q**2 Let i(q) = -5*q**2. Suppose 8 = -0*b + 4*b. Let x(g) = 11*g - 11*g - 2*g**b. Determine x(i(c)). -50*c**4 Let z(b) = 6*b. Let m(s) = s. Let d(j) = 3*m(j) - z(j). Let o(f) = -f. Calculate o(d(p)). 3*p Let l(w) = -2*w. Let k(g) = -g**2 + g. Let d(r) = 5*r**2 - 20*r. Let b(v) = -d(v) - 20*k(v). Let o(m) = 2*m**2. Let n(c) = -2*b(c) + 18*o(c). Calculate n(l(h)). 24*h**2 Let l(v) = v**2 + 1 - 1. Let r(d) = 8*d**2 + 11. Let i(q) = 3*q**2 + 4. Let h(u) = 11*i(u) - 4*r(u). Give l(h(y)). y**4 Let h(o) = 5*o. Let x(l) = 7*l**2. Calculate h(x(z)). 35*z**2 Let t(p) = 2*p. Let b(s) = s + 1. Let y(n) = -5*n - 4. Let m(u) = -u + 4. Let z be m(0). Let v(o) = z*b(o) + y(o). What is v(t(k))? -2*k Let k(u) = -17*u**2. Let q(b) = -2*b + 2*b**2 - b + 3*b. Give q(k(w)). 578*w**4 Let h(j) = 3*j - 3. Let i be h(2). Let l(p) = -i*p - 3*p - 3*p. Let g(w) = -2*w. Let z(t) = 26*g(t) - 6*l(t). Let d(x) = 2*x. What is z(d(v))? 4*v Let d(w) = -5*w. Let t(f) = -104*f**2. Calculate d(t(z)). 520*z**2 Let o(f) = 8*f**2. Let h(m) = -m**2 - 22. What is o(h(z))? 8*z**4 + 352*z**2 + 3872 Let a(k) = -k**3 + 4*k**2 - 2*k - 1. Let c be a(3). Let r(f) = -37*f + 37*f + f**2 + 0*f**c. Let p(w) = 2*w**2. What is r(p(u))? 4*u**4 Let a(k) = 4*k**2. Suppose 0 = -n - 5*i + 4*i + 3, -4*n + 12 = -2*i. Let j(p) = n*p + 6*p - 6*p. What is j(a(z))? 12*z**2 Let k(y) be the second derivative of y**4/8 - y**2 - 7*y. Let h(q) be the first derivative of k(q). Let m(b) = b. Determine m(h(u)). 3*u Let i(d) = -4*d**2 + 9*d**2 - 2*d**2. Let q be (-2)/4*(-20)/5. Let f(r) = 3 - r**q - r**2 - 3. Determine f(i(j)). -18*j**4 Let f = 12 - 7. Suppose -5*n + l + 9 = -0, -n = 3*l - f. Let j(o) = n*o + o + 0*o. Let q(u) = u**2. Calculate j(q(w)). 3*w**2 Let r(x) = -3*x + 3*x + 2*x. Let m(v) = v + 1. Let z(i) = 8*i + 7. Let j(l) = 21*m(l) - 3*z(l). Calculate j(r(q)). -6*q Let k(d) = 4*d. Let i(b) = -b**2 + 5*b - 4. Let o be i(3). Let u(q) = 3*q**o - 24*q + 24*q. Give k(u(l)). 12*l**2 Let g(w) be the third derivative of -11*w**5/60 + 6*w**2. Let m(h) = 2*h. What is g(m(q))? -44*q**2 Let k(y) be the first derivative of y**3/3 - 4. Let m(l) be the second derivative of 7*l**4/12 - 2*l. Calculate m(k(j)). 7*j**4 Let l(z) = -116*z. Let x(y) = -4*y**2. Determine x(l(q)). -53824*q**2 Let o(f) = -3*f + f + f. Let l(p) = -21*p**2 + 41*p**2 - 18*p**2. Give o(l(c)). -2*c**2 Let o(v) = 560*v**2 - 70*v - 35. Let b(k) = -33*k**2 + 4*k + 2. Let r(d) = -35*b(d) - 2*o(d). Let h(i) = i. Calculate h(r(j)). 35*j**2 Let h(d) = -15*d**2. Let r(t) = -4*t - 23. Calculate h(r(y)). -240*y**2 - 2760*y - 7935 Let l(u) = 2*u. Let i(b) = -b - 13*b**2 + b + 10*b**2. Give l(i(f)). -6*f**2 Let w(a) = 6*a**2. Let v(k) = 2 - k - 2. Calculate v(w(q)). -6*q**2 Let n(g) be the first derivative of -g**3/3 - 1. Let a(p) be the second derivative of -p**4/6 - 5*p. Give a(n(h)). -2*h**4 Let c = 9 - 7. Let j(d) = -d**c - d**2 + 7*d**2 - 3*d**2. Let b(p) = 2*p. Give j(b(v)). 8*v**2 Let t(i) = 5*i - i + 0*i - 6*i. Let a(w) = -4*w**2. Calculate a(t(q)). -16*q**2 Let q(i) be the first derivative of 2/3*i**3 + 0*i + 0*i**2 - 6. Let f(n) = 4*n**2 - 6*n**2 + 0*n**2. Calculate q(f(h)). 8*h**4 Let t(q) = q. Let f(s) = 3*s**2 + 7*s - 7. Let l(g) = 3*g**2 + 6*g - 6. Let a(w) = -6*f(w) + 7*l(w). What is a(t(d))? 3*d**2 Let l(p) = 630*p. Let u(y) = 3*y**2. Determine l(u(o)). 1890*o**2 Let f(k) = -3*k. Let c(b) = 4*b**2. Let n(s) = -9*s**2. Let l(p) = -13*c(p) - 6*n(p). Determine f(l(q)). -6*q**2 Let g(x) = -296*x**2 + 294*x**2 + 2 - 2. Let i(s) = -5*s. Give i(g(a)). 10*a**2 Let v(i) = -21*i**2. Let c(r) = -10*r**2. Give v(c(q)). -2100*q**4 Let l(m) = m - 2*m - 5*m + 5*m. Let h(w) be the third derivative of w**7/2520 - w**5/60 - w**2. Let z(k) be the third derivative of h(k). Calculate z(l(i)). -2*i Let s(g) = -4*g. Let h(m) = 11*m - 9. Determine s(h(c)). -44*c + 36 Let c(n) = n**2. Let j(u) = -u**2 - 4*u + 3. Let f be j(-4). Suppose f*v = -2*v + 5. Let h(y) = -v + y + 1. What is h(c(k))? k**2 Let f(a) = 2*a. Let q(j) = -332*j. Calculate f(q(p)). -664*p Let p(y) = y**2. Let q be -2*5*(2 + 0). Let m be (q/25)/((-2)/5). Let x(l) = -l**m + 0*l + 0*l. Give p(x(k)). k**4 Let p(j) be the third derivative of -j**4/24 + j**2 - 4*j. Let d(q) = 13*q**2. Give d(p(g)). 13*g**2 Let r = 9 + -5. Let k(l) = 2*l - r*l - l + l. Let c(z) = z + z + z + 0. What is c(k(w))? -6*w Suppose 2*y - 24 = -2*y. Suppose 0 = 5*w - y - 4. Let v(u) = 0*u**w + 2*u**2 + 0*u**2. Let c(j) = -j. Calculate c(v(m)). -2*m**2 Let j(x) = 3041*x. Let y(f) = -2*f**2. Calculate y(j(z)). -18495362*z**2 Let r(m) be the first derivative of -m**3/6 + 4*m - 3. Let w(h) be the first derivative of r(h). Let l(u) = -2*u. What is l(w(d))? 2*d Let g(h) = 2*h**2. Let l(t) be the second derivative of t**6/720 - t**4/4 - 3*t. Let x(v) be the third derivative of l(v). Determine g(x(w)). 2*w**2 Let q be 32/14 + 2/(-7). Let b(z) = q*z + 0*z - 46 + 46. Let x(l) = -3*l**2. Calculate x(b(v)). -12*v**2 Let y(p) = -p**2. Let t(n) be the first derivative of 3/2*n**2 + 0*n + 3. Give y(t(x)). -9*x**2 Let w(y) = -y. Let h be w(0). Suppose h = -5*p + p. Let v(b) = b + p*b - 5*b + 5*b. Let l(x) = x**2. Give l(v(r)). r**2 Let j(l) = l**2. Let y(x) be the third derivative of -11*x**6/720 - x**4/8 - 4*x**2. Let r(p) be the second derivative of y(p). Calculate r(j(s)). -11*s**2 Let a(l) = -20*l**2. Let s(t) = -14*t. Determine a(s(x)). -3920*x**2 Let o(b) = 2*b. Let y(s) = 2. Suppose m + m = -36. Let l(u) = u - 9. Let z(j) = m*y(j) - 4*l(j). Calculate o(z(r)). -8*r Let p(s) = -s + 623. Let c(q) = q. What is c(p(f))? -f + 623 Let v(y) = -585*y**2. Let t(m) = -6*m. Calculate t(v(f)). 3510*f**2 Let g(n) = 2*n. Let o(q) = -36 + 8 - q + 4. What is g(o(t))? -2*t - 48 Let k(n) be the second derivative of n**4/4 - 2*n. Let m(v) = v. Give k(m(u)). 3*u**2 Let b(r) = 4*r + 4. Let g(k) be the first derivative of k**2/2 - k - 1. Let z(f) = b(f) + 4*g(f). Let q(l) = l. Calculate z(q(v)). 8*v Let l(r) = -2*r. Let p(o) = 781*o. Calculate p(l(v)). -1562*v Let l(s) = 21*s**2 - 9*s + 9. Let d(h) = -5*h**2 + 2*h - 2. Let n(f) = -9*d(f) - 2*l(f). Let z(k) = 7*k. What is z(n(t))? 21*t**2 Let r(k) = -466*k. Let g(n) = 13*n**2. Give r(g(d)). -6058*d**2 Let k(l) = -6*l - 9. Let q(d) = 3*d + 4. Let v(i) = -4*k(i) - 9*q(i). Let r(n) = -8*n**2. What is v(r(c))? 24*c**2 Let s(b) = 4*b**2 + 7*b. Let z(v) = -3*v. Give z(s(q)). -12*q**2 - 21*q Let o(i) = 2*i**2. Let h(k) = 4*k + 1068. What is o(h(g))? 32*g**2 + 17088*g + 2281248 Let h(z) be the first derivative of 2*z**3/3 - 10*z - 46. Let o(n) = -n**2. Determine h(o(a)). 2*a**4 - 10 Let x(v) = 6*v. Let p(o) = -9*o. Calculate x(p(a)). -54*a Let g(m) = -m**2. Let j(v) = 5*v - 6*v - 14 + 14. Calculate g(j(o)). -o**2 Let a(s) be the third derivative of s**5/30 + 17*s**2. Let y(b) = -5*b. Determine a(y(i)). 50*i**2 Let s(o) = -14706*o. Let q(h) = -2*h. Determine q(s(i)). 29412*i Let b(s) = 2*s**2. Let u(w) = -11*w**2 - 3. Let p(x) = -x**2 - 1. Let m(k) = 6*p(k) - 2*u(k). What is b(m(n))? 512*n**4 Let j(y) = 18*y**2. Let t(h) be the first derivative of -h**3 - 26. Calculate t(j(c)). -972*c**4 Let h(g) = 1651*g. Let k(x) = -2*x. Calculate k(h(y)). -3302*y Let y be (5/(-10)*0)/(-1 + 0). Let c(b) be the first derivative of 1/3*b**3 - 2 + 0*b**2 + y*b. Let a(n) = 2*n**2. What is c(a(q))? 4*q**4 Let p(w) be the second derivative of w**3/3 - 67*w. Let a(t) = -12*t**2 - 4. Calculate p(a(u)). -24*u**2 - 8 Let w(n) = -n**2 - 2*n**2 + 0*n**2. Let h(r) = -2*r**2. Give w(h(k)). -12*k**4 Let j(k) = 2*k. Let r(n) be the first derivative of -n**2/2 + 14*n + 62. What is r(j(l))? -2*l + 14 Let v(c) be the first derivative of -8*c**3/3 - 3. Let q(n) = -3*n**2. Determine v(q(z)). -72*z**4 Let o(f) = -3*f**2
{ "pile_set_name": "DM Mathematics" }
3543. 2989 What is the remainder when 231482458 is divided by 132? 130 Calculate the remainder when 47664 is divided by 5077. 1971 Calculate the remainder when 105720 is divided by 1046. 74 What is the remainder when 1168755 is divided by 17187? 39 Calculate the remainder when 12357 is divided by 1608. 1101 Calculate the remainder when 1250872 is divided by 2153. 2132 Calculate the remainder when 42885 is divided by 350. 185 What is the remainder when 105167098 is divided by 32? 26 What is the remainder when 1650065 is divided by 330010? 15 What is the remainder when 261498947 is divided by 65374736? 3 Calculate the remainder when 12780 is divided by 1001. 768 Calculate the remainder when 948352 is divided by 462. 328 What is the remainder when 836197 is divided by 119437? 138 What is the remainder when 9325706 is divided by 9? 5 What is the remainder when 16851098 is divided by 1133? 1122 What is the remainder when 15405333 is divided by 1925652? 117 What is the remainder when 167628 is divided by 169? 149 Calculate the remainder when 109586 is divided by 10935. 236 What is the remainder when 173021 is divided by 24708? 65 Calculate the remainder when 62460 is divided by 20602. 654 Calculate the remainder when 783586 is divided by 2990. 206 Calculate the remainder when 95161 is divided by 47158. 845 Calculate the remainder when 115164 is divided by 2460. 2004 What is the remainder when 354495 is divided by 35438? 115 Calculate the remainder when 6130022 is divided by 709. 8 Calculate the remainder when 30504 is divided by 25748. 4756 What is the remainder when 98128 is divided by 1363? 1355 Calculate the remainder when 199850 is divided by 1843. 806 What is the remainder when 95866255 is divided by 31955415? 10 What is the remainder when 314376 is divided by 104755? 111 Calculate the remainder when 45693761 is divided by 3807812. 17 Calculate the remainder when 302478 is divided by 100548. 834 What is the remainder when 175720510 is divided by 87? 85 What is the remainder when 279171 is divided by 1173? 1170 Calculate the remainder when 423299 is divided by 7299. 7256 What is the remainder when 5399762 is divided by 317? 301 Calculate the remainder when 2432192 is divided by 2323. 11 What is the remainder when 23114 is divided by 1359? 11 Calculate the remainder when 11718582 is divided by 114888. 6 What is the remainder when 13981140 is divided by 873820? 20 Calculate the remainder when 287135 is divided by 56821. 3030 What is the remainder when 12743436 is divided by 123? 21 Calculate the remainder when 1783686 is divided by 5471. 140 What is the remainder when 115950 is divided by 1838? 156 Calculate the remainder when 66814 is divided by 33392. 30 Calculate the remainder when 179531 is divided by 89704. 123 What is the remainder when 10439258 is divided by 2871? 302 Calculate the remainder when 95679931 is divided by 107. 103 What is the remainder when 456530 is divided by 456221? 309 What is the remainder when 16695276 is divided by 444? 432 What is the remainder when 50119554 is divided by 15? 9 What is the remainder when 33942512 is divided by 1040? 32 What is the remainder when 244143 is divided by 12906? 11835 What is the remainder when 7863914 is divided by 982989? 2 Calculate the remainder when 1738378 is divided by 820. 798 Calculate the remainder when 265017 is divided by 87979. 1080 What is the remainder when 1815873 is divided by 10693? 8756 What is the remainder when 886163 is divided by 425? 38 Calculate the remainder when 64700430 is divided by 49. 46 Calculate the remainder when 70343 is divided by 48. 23 Calculate the remainder when 19510372 is divided by 2857. 2776 What is the remainder when 1853135 is divided by 731? 50 Calculate the remainder when 3351499 is divided by 837865. 39 Calculate the remainder when 87679 is divided by 2658. 2623 Calculate the remainder when 22264377 is divided by 32. 25 Calculate the remainder when 752947 is divided by 208. 195 Calculate the remainder when 877329 is divided by 81. 18 Calculate the remainder when 357270 is divided by 321. 318 Calculate the remainder when 168198936 is divided by 42049728. 24 Calculate the remainder when 59891702 is divided by 9981947. 20 Calculate the remainder when 3672999 is divided by 1514. 35 Calculate the remainder when 6149 is divided by 1912. 413 Calculate the remainder when 1478623 is divided by 98574. 13 Calculate the remainder when 64985286 is divided by 232. 230 Calculate the remainder when 4670446 is divided by 54306. 130 Calculate the remainder when 8294370 is divided by 224172. 6 What is the remainder when 6536256 is divided by 1610? 1266 Calculate the remainder when 53032 is divided by 1514. 42 What is the remainder when 187119 is divided by 1162? 37 What is the remainder when 55879608 is divided by 376? 368 Calculate the remainder when 6481601 is divided by 15. 11 What is the remainder when 24653530 is divided by 8217836? 22 What is the remainder when 1677278 is divided by 11410? 8 Calculate the remainder when 1638119 is divided by 478. 13 What is the remainder when 110239 is divided by 4079? 106 Calculate the remainder when 3095619 is divided by 6. 3 Calculate the remainder when 5193784 is divided by 649223. 0 Calculate the remainder when 43610 is divided by 3120. 3050 Calculate the remainder when 62905 is divided by 9737. 4483 What is the remainder when 3881897 is divided by 1939915? 2067 Calculate the remainder when 3023316 is divided by 604659. 21 What is the remainder when 197175 is divided by 49269? 99 Calculate the remainder when 340576 is divided by 1784. 1616 Calculate the remainder when 177966017 is divided by 20. 17 What is the remainder when 1514036 is divided by 27? 11 What is the remainder when 437041773 is divided by 754? 753 Calculate the remainder when 6313804 is divided by 53. 20 What is the remainder when 24589177 is divided by 281? 272 What is the remainder when 997862 is divided by 15310? 2712 Calculate the remainder when 10004734 is divided by 270398. 8 Calculate the remainder when 713793 is divided by 926. 773 Calculate the remainder when 574944 is divided by 888. 408 What is the remainder when 235683783 is divided by 529? 0 Calculate the remainder when 14555710 is divided by 97038. 10 Calculate the remainder when 87916396 is divided by 5200. 5196 Calculate the remainder when 5657969 is divided by 32517. 11 Calculate the remainder when 5108978 is divided by 5108976. 2 Calculate the remainder when 6785373 is divided by 678459. 783 What is the remainder when 1046011 is divided by 31? 9 What is the remainder when 60482 is divided by 1064? 898 Calculate the remainder when 505129 is divided by 1033. 1025 What is the remainder when 13100454 is divided by 238190? 4 What is the remainder when 330687 is divided by 1476? 63 Calculate the remainder when 83090 is divided by 232. 34 What is the remainder when 10226122 is divided by 262208? 10 What is the remainder when 45843 is divided by 6543? 42 What is the remainder when 438006 is divided by 1982? 1966 Calculate the remainder when 92787347 is divided by 3907. 4 What is the remainder when 36972 is divided by 528? 12 Calculate the remainder when 22148 is divided by 21965. 183 Calculate the remainder when 426586 is divided by 11168. 2202 What is the remainder when 694294 is divided by 461? 28 What is the remainder when 863094 is divided by 1522? 120 What is the remainder when 725281 is divided by 362445? 391 Calculate the remainder when 137824 is divided by 34333. 492 What is the remainder when 14251282 is divided by 84829? 10 What is the remainder when 1003283 is divided by 200233? 2118 What is the remainder when 2440600 is divided by 5? 0 Calculate the remainder when 714814 is divided by 8717. 20 Calculate the remainder when 109495 is divided by 10845. 1045 What is the remainder when 505378 is divided by 160? 98 What is the remainder when 6926731 is divided by 6480? 6091 What is the remainder when 372811 is divided by 222? 73 Calculate the remainder when 73371923 is divided by 4049. 4043 Calculate the remainder when 1190610 is divided by 595302. 6 What is the remainder when 215346 is divided by 215320? 26 What is the remainder when 5464889 is divided by 153? 35 Calculate the rema
{ "pile_set_name": "DM Mathematics" }
849 + -849)). -111 What is ((5 - 0) + (-8 + -2 - 0) - -8) + -24? -21 Evaluate (2 + 6 - -5) + 10 + -47 + -14. -38 What is -16964 - -17077 - (0 - -43)? 70 Calculate -29 + (-2 - (20 + -13 + -21)). -17 What is 30 + (-19 - -25) + 5 + (-1 - -4 - 2)? 42 What is 27 + -57 + (-83 - -19)? -94 -60 - 38 - 16 - (4 + 0) -118 Calculate 74 + 39 + -28 + 41 - 0. 126 Calculate 77 - 61 - (-61 + 0 + -34 + 28). 83 Calculate -42 - (1 - 29 - (2039 + -1889)). 136 -18 - (42 - 164 - (16 + -42)) 78 Calculate -41 - (3 - -6 - (20 + -3)) - -1. -32 (-24 - 22) + 55 + (4 + 38 - 1) 50 (86 + -133 - -51) + (-4 - -7) + 1 + -4 4 What is the value of 1 - 2 - 88 - (-74524 - -74498)? -63 Calculate 2 + -1 - 2 - (-5633 + 5687). -55 Calculate 0 + -8 + (20 + -4 - (-25 - -12 - 19)). 40 What is 4837 + -4730 - (129 + 3)? -25 What is the value of 146 - (47 + (-44 + 26 + -16 - -11))? 122 (55 + -32 - 40) + (0 - -20) - -40 43 0 + 12 + (-10 - (-73 - (-17 + -12 - -11))) 57 Calculate -259 + 264 + (1 - (4 + -64)). 66 Evaluate -65 + 75 - (-9 + 1 + 63). -45 29 + -77 + 54 + (-32 - 2) -28 What is the value of 9 + -4 - (-3 - 0) - (-10 + 13 - 0)? 5 What is the value of (1 - (0 - -2) - (433 - 440)) + 35 + -32? 9 Evaluate (-33 - -2) + -9 + 9 + (-3 - 4) + 5. -33 -68 + 1 + (100 + -25 - 111) -103 63 + 1 - (-2523 + 2605) -18 Calculate (148 - 136) + -4 + 4 + (1 - 5). 8 Evaluate (45 - 3) + (-4 - 19 - 7) + 20. 32 What is 2 + 30 + (3670 - 3720)? -18 -376 - -335 - 84 - (4 + -1 - 2) -126 Calculate (-11 - (5 + -17)) + -19 + 72 + 7 + -1. 60 Calculate -16 - -16 - -21 - 2 - 22. -3 What is the value of -7 + 2 - (9 - 0 - -7)? -21 Calculate (16 - 160) + 8 + 67. -69 What is the value of -2 + -71 + (-110 - -130) + -7? -60 -8 - (-17 - ((4 - -4) + -52) - (7 - 1)) -29 Evaluate 35 - (-15 - (8 + -13 - -9)). 54 Calculate (100 - 101) + (1 - -2) - (-20 - 15). 37 Calculate 15 + (0 - -1) + (-9 + -108 - -61). -40 -52 + -63 + 9 + 21 -85 Calculate 263 + -252 + (-5 - 45). -39 Calculate 4 + -36 - (27 + 4 - 33). -30 Evaluate -23 + 19 + -3 + (-7 - (-1 - -1)). -14 What is the value of -23 + (-4 - -43) - (-2 - 31)? 49 What is the value of 3 + (-3 - -11) - (-31 + (-37 - -18) + 4)? 57 Evaluate -236 - -274 - (0 + -5 - -10). 33 What is -4 + (17 + 0 - (32 + -2) - (-29 - 0))? 12 Evaluate 12 + (34 - 105) - -28. -31 Calculate (37 - (-15 - -40) - 18) + -46 + (2 - 2). -52 What is 1 - -42 - (-942 - -923)? 62 Calculate -5 - -29 - 4 - (53 - (0 + -3)). -36 Evaluate -21 + 79 + (45 + -16 - 23). 64 Evaluate -3 + (29 - 3) - (-4 + -15). 42 Calculate 23 + 16 + 1 + -58 - (2 - (2 + 0)). -18 -83 + (-63 + 202 - -40) 96 Calculate -210 + -140 + 300 + -77 + 0. -127 What is the value of 81 - (-130 - (-97 - 4))? 110 -143 - ((23 - 46) + 3 + 11 + 6 + -1) -139 Calculate 60 - (-55 + 102 + 13). 0 Calculate (331 - 331 - (1 + -84)) + 1 + 0 - -12. 96 Evaluate 80 - (26 + -39 + 12 + 22). 59 -30 + -2 - (506 + -508) -30 What is (14 - 11 - 6) + 8 + -8? -3 Evaluate 27 + -94 - (-5 - -2) - -7. -57 -186 + 42 + 72 + (-2 - -28) -46 What is the value of 1 - 9 - -3 - (30 + 28 + -5)? -58 What is -30 + ((32 - 35) + 16 - -106)? 89 Evaluate 34 - 44 - (-1 - 92 - (-7 - -9 - -3)). 88 Calculate 10 - (-84 + 70 - (3 - 2) - -8). 17 What is (13 - 32 - (-2 - 10)) + (8 - 11)? -10 What is -35 + 23 + 15 + -68 + -51? -116 What is the value of -7 - 6 - (3 + -10 - (-2 - -1)) - -58? 51 Calculate -38 + 87 + -3 + -8 + 2 + -7. 33 Evaluate -1 + -108 + (-7525 - -7595). -39 Calculate -94 - (-22 + -64 + -117). 109 What is ((47 - 27) + 28 - 34) + (-91 - 2)? -79 Evaluate 18 - (67 + -32) - (8 + 9). -34 Calculate 1 + 5 - (685 - 642). -37 (-13 - (20 - (11 + 2) - 6)) + 35 21 What is -1 + -37 - (4859 - 4948)? 51 Calculate -52 - 1 - (25 - (104 + -45)). -19 -2 + -6 + (-4055 - -3948) -115 Evaluate (1 - -2) + -74 + 51 + -72. -92 Calculate -9 + 10 + -13 + 109 + -131. -34 Evaluate 226 - -152 - 338 - (53 + -1). -12 What is -15 + 25 + 0 - (4 + 0) - (8 + -63)? 61 Evaluate -7925 - -7919 - (1 + 1 + 2 + -95). 85 What is -10 - 1 - (-20 + 13) - (7 - 53)? 42 -36 + (33 - 57) + 20 + -2 -42 Calculate 1 + 110 + (5 - (-5 - 0 - (-70 - -55))). 106 Calculate 58 + -55 + -63 - 20. -80 Calculate -17 - (-15 + (-7 - -14)) - -19. 10 Calculate 20 + ((2 - -9) + 154 + -188 - 25). -28 Evaluate 12 + (21 - (-32 + 20 - -52)). -7 What is (-30 - -17 - (-99 + 7 + -3)) + 6 + -7? 81 What is the value of 1 + 9 + -61 - -9 - -7? -35 -209 + 187 + (94 - -2) 74 What is 0 + -7 + 0 - (4 + (-82 - -30))? 41 What is -17 + -39 + 274 + -146? 72 What is (-48 - -26) + 32 - 44? -34 (1670 - 1577) + -49 + -9 35 Evaluate 22 + 0 - (50 + (42 - (168 - 59))). 39 Calculate 8 + (4 - 10) + (24 - -10) + -62. -26 What is 1150 - 1143 - (-3 - 6)? 16 What is 43 + (37 - -9) - (-3 + 0 + 16 - 0)? 76 Evaluate 75 - (29 + (-7 - -2) + 30 + -37). 58 What is the value of 6 + 5 + -28 + (-648 - -625)? -40 What is (1 - -3) + -15 + (18 - 28) + 17? -4 Calculate 0 - -50 - (-29 - (-1 + 3 - 33)). 48 What is -59 - ((-11 - 13) + -43)? 8 -70 + 7 + (29 - 7) -41 What is the value of (99 - 1) + 482 + -511? 69 28 + 113 + -32 - 140 -31 (1 - (-7 + ((15 - 11) + 5 - -2))) + -27 -30 What is -1 - 12 - (1 - -7 - 19)? -2 Evaluate -52 + -2 + -27 + 18 + 14. -49 Evaluate (135 - 162) + (-6 - -22) + 80. 69 What is the value of 8 + -12 + -11 + (1 - 3) + -68? -85 What is the value of -22 + (5 - (-2 - -9)) + 11 + -6 + 9? -10 What is the value of 24 - (-20 + (18 - -24)) - 0? 2 (-3113 - -3173) + (3 + -6 - (1 - -1)) 55 Evaluate 24 + (-40 - (-44 + -15)). 43 What is 12 + 0 - (-18 - -22) - (8 + -16)? 16 What is the value of 270 + -265 - (-81 + (6 - (-6 + 9)))? 83 What is (-1 - -24) + 12 + (-9 - 11 - -11)? 26 Calculate 5 - 11 - (-15 + -6 + 65). -50 Evaluate (-2 - -9) + (6 - 1 - (-62 + 63 - -22)). -11 Calculate -13 - (11 + 2 + (-52 - 10) + -9). 45 What is the value of -7 + -4 + 3 + (31 - 16 - (-1 + 6))? 2 Calculate -8 + -3 + -13 - -18 - -15. 9 What is the value of 2 + 23 + -199 + 189 + (25 - -1 - 0)? 41 48 + (-46 - 6) - (0 + -3 + -6) 5 Calculate 16952 + -16918 - (-54 + -1). 89 What is 138 + 79 + 49 + -301? -35 What is the value of -17 + 23 + -22 + (-10 - (-108 - -1))? 81 Evaluate 177 - 49 - 29 - 138. -39 Calculate 7 - (-34 + 35 + -14 + (-5 - 1)). 26 Calculate (-52 - (-34 - (-58 + 9))) + 41. -26 Evaluate -61 + 139 + -166 + 103. 15 33 + -1 - (45 + -83 - -169) -99 What is the value of 3 + -1 + (-3 + -12 - ((-35 - -43) + -29))? 8 What is the value of -6 - ((2 - 12) + 21 + -10 + (70 - 1))? -76 What is the value of 6 + (-98 - (3 + -8)) + 37? -50 Calculate 15 + -32 + 15 + 5 - (-14 - -27). -10 -4 + (-8 - -2) - (-17 - -23) - -1 -15 -47 + 0 - (110 + (-64 - 70)) -23 What is 13 - 0 - (-1674 + 1716)? -29 -4 + (7 - 25) + 36 + -46 -32 What is 16 - (0 + -2) - (-365 + 122 + 335)? -74 Evaluate -2 + (1 - -1) - -6 - (-261 + 246). 21 What is (43 - 33) + (-15 + 59 - -2)? 56 What is the value of 10 - -18 - ((-48 - -17) + 32)? 27 (-28 - -21) + 3 + -11 - 25 -40 Calculate (12 - -72 - 91) + (-22 + -2 - 2). -33 What is the value of -27 + 3 + (4 - 4) + 0 - (-234 - -237)? -27 Calculate -4 + (1 - -20 - (27 + 10)). -20 What is the value of -36 + -22 + 65 + -9 + 17? 15 Calculate 8 + -69 + 105 + 51. 95 What is the value of (-1 - 24) + (2722 - 2694)? 3 (3 - -17 - 1) + 4 23 What is 73 + -99 - 17 - (-3 + -29)? -11 What is the value of (0 - 6) + (-37 + -10 + 24 - -18 - 7)? -18 -13 + 2 + (-117 + (9 - 17) - -4) - -1 -131 Calculate -32 + -1 + (-3 - (0 + -1)) + (-1892 - -1898). -29 Evaluate 10 + -10 + 10 + -12 - (-8 + (-25 - -5)). 26 4 + 27 + -2 + -1213 + 1208 24 What is 54 + -39 + (-2 - 14) + -9 + -13? -23 What is -37 - ((-12 - 4) + -14) - 0? -7 Calculate -2 - 48 - (-78 + 26). 2 Calculate 3 + (-5 + 5 - 13) + 4 - -20. 14 What is 0 + -1 - (-4 - -76 - (210 + -199))? -62 Evaluate 42 - (21 + (-25 - (18 - 8))). 56 -7 + 6 + -7 + (211 - 139) 64 (-2 - (-7 + 39)) + (-21 - 0 - -24) -31 Evaluate 25 - ((33 - 10) + -7 - 39). 48 Calculate 5 - (35 + -42 - 3 - -45) - (2 + 0). -32 Evaluate (0 - -50) + -147 + 146 + -19 - -15. 45 -6 - (5 - 9) - (-48 + (-1 - -26 - 12)) 33 What is the value of -1 - (-24 - (-4 - 0 - (42 + -51)))? 28 Calculate -150 + 0 - (-3 - (0 - -18)). -129 (-2 - -3) + -2 + 1 + 9 + 448 + -395 62 What is 7 - (4 - 106) - (109 + -78)? 78 Evaluate (1 - (-7 + (-5 - -1 - -6))) + 1673 + -1672. 7 Evaluate -20 - (-90 + (14 + -4 - 2)). 62 Calculate (-18 - 0) + -7326 + 7376. 32 What is 2 - -20
{ "pile_set_name": "DM Mathematics" }
n base 2? 11000000111000110 Convert -101186 (base 9) to base 6. -1141253 Convert 11004223 (base 7) to base 2. 11100110001001010111 Convert 13113133323 (base 4) to base 12. 791763 What is -111101100020102 (base 3) in base 13? -162037a -12220300 (base 5) to base 9 -187374 Convert -16704604 (base 9) to base 16. -7fff0c -233230212 (base 4) to base 9 -326883 -212100212211020 (base 3) to base 5 -11134331112 10267 (base 15) to base 9 77167 12751 (base 12) to base 2 110001010101101 -3242213 (base 8) to base 3 -1122011202021 Convert -b3a771 (base 14) to base 8. -27074277 Convert -441543 (base 7) to base 4. -102322023 What is 20021313300 (base 4) in base 3? 11000121012210 What is a04a70 (base 14) in base 6? 311315334 Convert 110100100100011010101101 (base 2) to base 11. 7862677 What is -101010101000010001 (base 2) in base 8? -525021 Convert 1000314012 (base 6) to base 10. 10103192 What is 2010221033 (base 4) in base 11? 34121a What is -611451 (base 7) in base 8? -312612 Convert -3413041 (base 5) to base 9. -101756 -3226016 (base 7) to base 8 -1400332 What is 37a153 (base 12) in base 4? 3131331033 7315 (base 13) to base 15 4aa4 What is -65035 (base 9) in base 3? -2012001012 What is 11002030310 (base 4) in base 3? 2111001022222 Convert -77711 (base 9) to base 14. -14b43 Convert -1317700 (base 11) to base 9. -4253818 Convert -110100100000000100000 (base 2) to base 8. -6440040 27175523 (base 9) to base 3 221012112120210 Convert -12102121101 (base 3) to base 15. -21a01 -1021002022 (base 3) to base 11 -1773a 123230132 (base 4) to base 5 12112223 Convert 2012111411 (base 5) to base 3. 21120012212022 Convert abb2ca (base 15) to base 10. 8188390 Convert -1c436 (base 14) to base 11. -4a255 What is -133664 (base 8) in base 14? -131d2 Convert -2304246 (base 7) to base 10. -287223 -2143cc (base 15) to base 12 -644626 212133333331 (base 4) to base 9 20882324 What is 43b96 (base 12) in base 4? 111323202 654 (base 15) to base 6 10341 -19991a (base 16) to base 11 -a46446 What is -31b99 (base 13) in base 6? -1532013 Convert 20221212001002 (base 3) to base 14. 6c36c5 cdc4b (base 14) to base 16 79d8b 295810 (base 10) to base 12 12322a Convert -135035512 (base 6) to base 5. -1201222420 -6460502 (base 7) to base 6 -24515035 253380 (base 12) to base 10 607056 What is 32320132 (base 5) in base 16? 43744 Convert 160a128 (base 11) to base 12. b08254 -3127874 (base 10) to base 11 -1847022 What is -100010010010011111 (base 2) in base 16? -2249f 127836 (base 12) to base 6 10301310 What is -6715731 (base 9) in base 12? -126289a What is -11636275 (base 9) in base 8? -25557077 -1140a03 (base 15) to base 6 -1120445533 -30a06 (base 13) to base 16 -15553 What is -301131200 (base 5) in base 10? -1192675 Convert -6184212 (base 10) to base 12. -20a29b0 What is 21925 (base 15) in base 6? 2141525 Convert -1222112212 (base 3) to base 7. -221546 -13284966 (base 10) to base 3 -220222221112210 Convert -47673 (base 9) to base 12. -16563 What is 19ccb (base 16) in base 13? 3913b What is -12450053 (base 6) in base 13? -115020 What is -823ba (base 13) in base 6? -5001114 -40242240 (base 5) to base 15 -65430 What is 620065 (base 12) in base 13? 419618 -1451508 (base 9) to base 6 -25103012 -688658 (base 11) to base 3 -2001121212210 Convert -276b97 (base 14) to base 7. -14405450 What is 78ea6 (base 16) in base 8? 1707246 What is 2da658 (base 16) in base 15? 3e166e Convert -2541003 (base 7) to base 3. -121201200200 1000211201020 (base 3) to base 9 1024636 What is -256770 (base 9) in base 2? -100110000100000011 Convert 10102202020 (base 3) to base 2. 10000100000011110 What is -52322 (base 8) in base 9? -32706 11013264 (base 7) to base 2 11100110101001111110 What is 414041342 (base 5) in base 10? 1705847 Convert 313206 (base 7) to base 10. 53955 Convert -53d9a4 (base 14) to base 13. -786735 -21110111120000 (base 3) to base 10 -3966165 What is 1111000010011010100110 (base 2) in base 10? 3942054 1010000111010100001 (base 2) to base 14 88ad3 What is 501310 (base 11) in base 16? c5030 Convert 9ce3 (base 16) to base 11. 281a2 What is -455313 (base 7) in base 16? -13cd1 Convert 20985f (base 16) to base 5. 1021324114 What is -9f28a (base 16) in base 14? -12d814 1212020020 (base 3) to base 4 20330022 Convert -203222202002 (base 4) to base 13. -1c24601 Convert -20b486 (base 15) to base 11. -9737a5 What is 168039 (base 13) in base 7? 4522323 Convert 1a0a1 (base 11) to base 5. 1344222 14314240234 (base 5) to base 8 110060764 Convert -6e6bd (base 16) to base 6. -13405525 -23443212 (base 5) to base 9 -362721 What is 45766741 (base 8) in base 10? 9956833 -5032122 (base 7) to base 6 -20440103 What is -123002032201 (base 4) in base 7? -114144556 1131014134 (base 5) to base 14 4b7955 Convert -46a34 (base 12) to base 4. -113021020 What is 3303331 (base 4) in base 6? 200141 Convert 916945 (base 11) to base 2. 101100111101011001000 What is -33122111 (base 4) in base 11? -43477 What is 1c428b (base 14) in base 10? 1010307 100011111101001000101 (base 2) to base 10 1178181 3130 (base 9) to base 3 10011000 What is -35110311 (base 7) in base 13? -83a156 What is -2100112210 (base 3) in base 2? -1011010011110110 Convert -1210303112 (base 4) to base 15. -8250b 4411324221 (base 5) to base 4 210022130000 What is 34107065 (base 8) in base 14? da02c5 What is -17c940 (base 13) in base 15? -bc7dc What is 20625b1 (base 13) in base 4? 211133333133 What is 1001421532 (base 6) in base 9? 21102712 -14206751 (base 8) to base 11 -18a6389 44607 (base 8) to base 2 100100110000111 668d5 (base 14) to base 16 3cb8b What is -59d75 (base 15) in base 3? -112120001102 Convert -30021121300 (base 4) to base 12. -1096894 Convert -1012300222 (base 5) to base 14. -3bd117 11310211 (base 4) to base 11 16a08 24106c (base 13) to base 9 1548434 Convert -4707803 (base 9) to base 4. -21231103131 What is 484050 (base 10) in base 2? 1110110001011010010 -120011010 (base 3) to base 12 -6486 What is 45231532 (base 6) in base 4? 11033023100 -1598338 (base 10) to base 11 -9a1945 5c9c48 (base 13) to base 12 8b1402 What is 224420302 (base 5) in base 9? 1814634 What is -15981c9 (base 14) in base 12? -36666b1 Convert 1110111001111111010010 (base 2) to base 9. 7315118 What is 100010101000110 (base 2) in base 3? 220022211 -4767 (base 14) to base 9 -18051 Convert -1c4581 (base 14) to base 15. -14e7c5 Convert 17c07c (base 16) to base 4. 11330001330 17086e (base 15) to base 8 4203006 Convert -769 (base 15) to base 5. -23144 -2a73a (base 12) to base 8 -164636 What is 34ab4 (base 12) in base 5? 4230241 What is 119460c (base 14) in base 7? 131420315 -54330046 (base 7) to base 10 -4645969 201113312 (base 4) to base 9 227452 Convert 8b09d (base 14) to base 11. 210756 565580 (base 9) to base 4 1102230231 Convert -5200122 (base 8) to base 15. -1c2c0d What is 2103627 (base 8) in base 10? 558999 What is -1150265 (base 7) in base 14? -3b5dc What is -2331311021 (base 5) in base 3? -101001012201101 16a931b (base 13) to base 3 111211221200102 What is 10678b1 (base 13) in base 11? 2915977 What is 7aa1b (base 15) in base 11? 247350 Convert 370d40 (base 14) to base 16. 1cc33c 7467884 (base 10) to base 8 34371554 What is -cc99ab (base 15) in base 3? -200100110222222 Convert 857993 (base 14) to base 4. 101032132331 What is -10320032 (base 5) in base 13? -31533 1a9393 (base 13) to base 16 a55b7 What is 211749a (base 11) in base 7? 43456626 Convert 201120200222 (base 3) to base 6. 12132212 What is -14355355 (base 6) in base 4? -1321132313 -122011102021202 (base 3) to base 12 -307a755 What is 133170 (base 9) in base 15? 19043 Convert 5513636 (base 8) to base 5. 334334411 -439d9a (base 14) to base 5 -1041401144 Convert 425a27 (base 13) to base 10. 1555002 -131526 (base 12) to base 9 -527053 -33002233 (base 5) to base 14 -74880 What is -16408 (base 11) in base 8? -55117 1352010 (base 6) to base 12 38606 1204141 (base 6) to base 5 4010013 What is -30249c (base 14) in base 15? -21ee72 Convert -337766 (base 9) to base 15. -40040 What is 202221 (base 6) in base 13? 7411 What is 98b36a (base 12) in base 13? 66b968 Convert -100010101111001101 (base 2) to base 13. -4c9c0 -173 (base 16) to base 4 -11303 Convert -1227330 (base 8) to base 13. -bb7b8 Convert -aabb7 (base 13) to base 5. -34401324 Convert -3486d
{ "pile_set_name": "DM Mathematics" }
Do 0.09 and -60256.2 have the same value? False Which is smaller: -34 or 5754? -34 Which is greater: 476/1745 or -1? 476/1745 Which is bigger: -410 or -9431/23? -410 Which is smaller: -0.047627 or -2/5? -2/5 Is -216636 less than -8? True Which is bigger: 339555 or 1018661/3? 339555 Do 9 and 3274/363 have different values? True Do -6/11 and -1331.12 have different values? True Is -347/78 less than -3? True Is -5659 at least as big as -5318? False Which is bigger: -6384 or -6389? -6384 Which is smaller: -227 or 1189? -227 Which is greater: 50441 or 50427? 50441 Is -16731 bigger than -16730? False Is -2625.3 at most as big as -3? True Is 98569 <= 98569? True Which is smaller: -1/168352 or 0? -1/168352 Is -1 bigger than -2/482323? False Which is smaller: 35/465238 or -1? -1 Are -5770 and -5776 equal? False Which is smaller: 1603 or -50? -50 Is 1.058 greater than or equal to 349? False Which is smaller: -1995 or -0.04? -1995 Which is bigger: 2189287 or 10946438/5? 10946438/5 Is -34257 less than or equal to 1? True Is -1994 != -1864? True Which is bigger: 0.9123 or -2/13? 0.9123 Is -217141 bigger than -2388564/11? True Which is smaller: -1 or -21844? -21844 Which is bigger: -63572/19 or -3345? -3345 Which is bigger: -6/5 or -172598? -6/5 Is 9/101504 at most as big as -1? False Which is bigger: 405901 or 405904? 405904 Is -6330460/3 bigger than -2110153? False Does -9615 = 62? False Does -608 = 58? False Which is smaller: 226/24865 or -1? -1 Which is bigger: 2501 or 62506/25? 2501 Which is smaller: -14/65 or -189/20? -189/20 Is -2.5 less than 83499? True Which is smaller: -9617 or -7? -9617 Which is smaller: 609920 or 2439683/4? 609920 Which is greater: 1 or -422/3929? 1 Which is bigger: -47935 or -47944? -47935 Is -840/797 at least 0? False Is -1 smaller than 1/148524? True Is 2/7 greater than 22008? False Which is smaller: -3.631 or 4? -3.631 Is -1/2 at most as big as 27084? True Which is smaller: -1 or -10/25357? -1 Which is greater: 0.1 or 1502.8? 1502.8 Which is greater: -180 or 422? 422 Which is smaller: 1 or 2/161957? 2/161957 Is 7455/344 at least 23? False Is -23196 > -23196? False Is 273.5 at most as big as 1/3? False Is -231854 bigger than -231849? False Which is smaller: 8996/305 or 28? 28 Which is greater: -42171 or -42188? -42171 Which is bigger: 1 or 3/1054? 1 Which is bigger: 270278 or 270280? 270280 Is 42581 greater than 42589? False Which is bigger: 4720 or 117979/25? 4720 Which is smaller: -999 or -784? -999 Is -586286 at most as big as -586287? False Which is smaller: 8219512 or 0? 0 Which is smaller: -0.0463 or -7.94? -7.94 Is 2/275109 less than -1? False Which is smaller: 0 or -51/34178? -51/34178 Is 42153 != 126458/3? True Are -1 and -1167920 unequal? True Is 1/803681 smaller than 1? True Is 2 > -939916? True Is -195525 less than -195545? False Is 0 at most 1/8326? True Is -11/640 <= 1? True Which is smaller: 810416 or -0.2? -0.2 Is -1 not equal to -2/265809? True Is -953 smaller than 2574? True Which is smaller: 45/6566 or 0? 0 Is -2.2 at least as big as 4.91? False Which is smaller: -4 or 1507.2? -4 Which is smaller: 368369 or 368356? 368356 Is -538 != -473? True Is -807.74 smaller than -2/3? True Are -7874 and -2 unequal? True Is 15858 smaller than 15859? True Are 121155 and 121156 non-equal? True Is 20923 at least 20923? True Is -5250 less than or equal to 137/3? True Which is smaller: -3 or 1049422? -3 Which is smaller: 0 or 1/188202? 0 Is -64359 greater than -64360? True Is -55548 less than -55549? False Is 1810 smaller than 1810? False Is 30732 at most 30732? True Is -8591 > -8598? True Is -2 != -1.062? True Is 403/227 bigger than -0.12? True Are 4920 and -2/7 equal? False Is -1/43 at most as big as 900.7? True Does -208322 = -208319? False Is 165474/139 equal to 1189? False Which is bigger: 0 or 4/213931? 4/213931 Which is smaller: -1 or -2/87509? -1 Which is smaller: -3861/59 or -66? -66 Is 1 bigger than 67/406? True Do 32965 and 17 have the same value? False Which is smaller: 55/27 or 34? 55/27 Is -0.0411 > -1/5? True Is 953 >= 23? True Which is bigger: -7115 or -7158? -7115 Do -24103/10 and -2410 have the same value? False Which is smaller: 2/283883 or -1? -1 Which is smaller: -4052 or 10? -4052 Which is greater: 69579/46 or 1512? 69579/46 Is -195 at most as big as 104? True Is -34155/62 at least as big as -552? True Which is greater: -4557 or -4709? -4557 Which is smaller: -301 or -459? -459 Which is greater: -2/27643 or -0.03? -2/27643 Is -77684 at least as big as -77683? False Which is smaller: 96 or -1273? -1273 Which is bigger: -47 or -1693/37? -1693/37 Which is smaller: -4336 or -4? -4336 Is 65 greater than 11029/173? True Is -8 bigger than 15978? False Which is greater: 188610 or 565834/3? 565834/3 Which is smaller: -1 or 5/25208? -1 Is -46160 != -46161? True Which is smaller: 19/264 or -89? -89 Which is greater: 1616225 or -0.1? 1616225 Are -2/14745 and -28/5 non-equal? True Which is greater: 1851 or 1844? 1851 Are 5/14033 and 0 nonequal? True Which is smaller: 3.198 or -19? -19 Is -40390 > -40391? True Are -2 and 1.581855 nonequal? True Which is greater: -376/1511 or -1? -376/1511 Which is smaller: -2/3 or 21/18925? -2/3 Is 0 greater than 9378398? False Which is greater: 3/165848 or -1? 3/165848 Which is smaller: 8 or -226118/9? -226118/9 Is 25149/115 equal to 218? False Which is bigger: -2474426 or -7423282/3? -2474426 Do -57098 and -57088 have different values? True Is 1 at least -18/27013? True Which is greater: -78961 or -78960? -78960 Which is smaller: -1585841 or 1/3? -1585841 Which is greater: 1585172 or 1585171? 1585172 Is 56888 at most as big as 56891? True Which is bigger: -1561213 or -1561212? -1561212 Which is smaller: -38755 or -38760? -38760 Which is bigger: -488018 or -488017? -488017 Is 0 bigger than 55/313776? False Is 5/10218 greater than 0? True Are -21.851 and -2/3 nonequal? True Is -5549 less than or equal to -5524? True Which is smaller: -383/751 or -1? -1 Is -2.9654 at least -1/2? False Which is smaller: 7740 or -14? -14 Which is smaller: 2/19121 or 0? 0 Which is smaller: 28 or -2/5353? -2/5353 Which is smaller: -11 or -11272? -11272 Is 55007 less than or equal to 1? False Which is smaller: 1/39910 or -1? -1 Is -3128 equal to -3400? False Is 61923/2 at least 30962? False Is -5547 > -5537? False Is 8788.5 != 0? True Which is bigger: 216 or 9664/45? 216 Is 4 greater than 905/206? False Which is greater: 2459068 or 2459067? 2459068 Is 13 smaller than 0.05537? False Is 22235 smaller than 2/5? False Is -206232 less than or equal to -206268? False Are 37/12976 and 1 equal? False Which is smaller: -8507 or -8506? -8507 Which is smaller: 94 or 6825/73? 6825/73 Which is smaller: 671157 or 671158? 671157 Is 4323 > 4324? False Does -2.7 = 2075/9? False Is 74636 <= 74641? True Is 1/428194 <= 1? True Is 1609 at most as big as 3217/2? False Is -264.36 at least as big as 5? False Which is smaller: 8238 or -11? -11 Which is bigger: 4/67619 or 0? 4/67619 Does -125509 = -125508? False Is 0.4 < 1456? True Which is smaller: 0 or 610/41? 0 Which is bigger: 18/22213 or 1? 1 Do 6 and 982.865 have the same value? False Which is bigger: -70663 or -1? -1 Is -250988 < -250988? False Is 1280 > 1287? False Which is smaller: 134174 or 134179? 134174 Which is greater: 0.9 or 3626? 3626 Which is bigger: 496675/18 or 27592? 496675/18 Is 23 bigger than 3/880? True Which is bigger: -3540 or -3544? -3540 Is 74 at most 33357/455? False Which is smaller: -844839 or 1/4? -844839 Is 1316 at most 19762/15? True Is 5539 greater than or equal to 5546? False Which is greater: -92807 or -92805? -92805 Is 4470 equal to 4517? False Is 90.5 bigger than 32? True Which is smaller: 1 or -13088? -13088 Which is smaller: 2 or 4114/1249? 2 Which is bigger: 33938 or 33936? 33938 Which is bigger: 1 or -1598/5473? 1 Is -3 < 1/80158? True Which is bigger: 36/5 or 0.09524? 36/5 Is 114 bigger than 101? True Is 242/505 >= 1? False Is 7294 less than 7295? True Is 14 equal to 1990/147? False Which is greater: 169 or 3214? 3214 Is 1 > -109604? True Is 31 less than 2968/93? True Is 413 less than or equal to 1088? True Is 0.098 > 5/592? True Is 0 greater than 1/1894394? False Is -3 bigger than 4703.6? False Is 121/256 at most 1/2? True Is -932868
{ "pile_set_name": "DM Mathematics" }
Let o(v) = v**2 + 4. Let j(y) = k*o(y) + 4*r(y). Let x(n) = 7*n**2. Calculate x(j(b)). 7*b**4 Let y(r) = 2*r**2 - 5*r**2 - 2*r**2. Let b(g) = g**2. Give y(b(w)). -5*w**4 Let b(t) = 5*t. Let l(m) = 14*m. Let g(h) = 20*b(h) - 6*l(h). Let d(j) = 2*j. Give g(d(u)). 32*u Let z(g) = -13*g. Let w(v) = -4*v**2. What is w(z(s))? -676*s**2 Let j(k) = -2*k. Let n(a) = -6 + 5*a + 6 + 2*a**2 + 4*a**2. Let v(x) = -15*x**2 - 12*x. Let p(o) = -12*n(o) - 5*v(o). Calculate j(p(l)). -6*l**2 Let q(g) = -38*g - 3. Let p(u) = -3*u. Determine q(p(c)). 114*c - 3 Let w(c) be the third derivative of c**2 + 0*c**4 + 0*c**3 + 0*c - 1/30*c**5 + 0. Let t(f) = -2*f**2. What is w(t(h))? -8*h**4 Suppose 7*r = 2*r + 20. Let z(c) = -7 - 3*c + 7 + r*c. Let i(l) = 0*l + 0*l + l. Determine i(z(p)). p Let b(a) = 8*a**2 + 5*a + 5. Let y(o) = -o**2 - o - 1. Let h(j) = b(j) + 5*y(j). Let s(q) be the third derivative of -q**5/20 + 15*q**2. Determine s(h(n)). -27*n**4 Let b(h) = -10*h. Let g be (-42)/(-10) + (-7)/35. Let l(f) = -4*f**2 + 4*f**2 - 3*f**2 + g*f**2. Determine l(b(v)). 100*v**2 Let y(o) = -2*o + 4. Let l(h) = h - 3. Let b(c) = -4*l(c) - 3*y(c). Let w(a) be the second derivative of -a**3/2 - 4*a. Calculate b(w(i)). -6*i Let x(g) = -34*g. Let h(v) = -6*v. What is h(x(p))? 204*p Let x(o) = 9*o**2. Let n(z) = -4 + 4*z - 4 + 8. Calculate n(x(a)). 36*a**2 Let g(d) = -2*d. Let a(x) = x**2 + x - 3. Let z be a(-3). Let q = 5 - z. Let l(m) = q*m + 7 - 7. Calculate l(g(h)). -4*h Let j(b) = 600*b**2. Let l(p) = p**2. Determine j(l(n)). 600*n**4 Let t(r) = 2*r. Let n(g) = -3*g + 4. Let p(x) = 3*x - 3. Let d(m) = -3*n(m) - 4*p(m). Give t(d(b)). -6*b Let r(m) = -m + 0 + 0. Let d(v) = 13*v**2 - 2*v**2 - 4*v**2. Calculate d(r(i)). 7*i**2 Let m(y) be the second derivative of y**3/2 + 16*y. Let x(l) = -l**2. Calculate m(x(q)). -3*q**2 Let q(o) = -8*o**2. Let f(b) be the third derivative of b**5/30 + 6*b**2. What is q(f(r))? -32*r**4 Let t(z) = 3*z + 4. Let q(u) = 7*u + 9. Let c(o) = -4*q(o) + 9*t(o). Let s(y) = -40*y. Give s(c(w)). 40*w Let g(q) = 2*q**2. Suppose 2*c + 3 = 3*c. Let j(t) = 16*t. Let w(h) = 5*h. Let s(i) = c*j(i) - 8*w(i). Determine s(g(f)). 16*f**2 Let f(v) = -20*v**2 - 3. Let u(d) = 192*d. What is f(u(q))? -737280*q**2 - 3 Let f(v) be the first derivative of 2*v**2 - 2. Let o(a) = 2*a. What is o(f(m))? 8*m Let f(m) = -2*m. Let c(y) = 3 - 7 + 5*y + 4. Calculate f(c(j)). -10*j Let x(n) = 3*n. Let k(a) = -15*a**2 + a**2 + 8*a**2 + a**2. Give k(x(q)). -45*q**2 Let n(b) = -b**3 - 7*b**2 + 6*b - 4. Let h be n(-8). Let u(m) = -h*m + 7*m + 10*m. Let z(q) = q - 2. Let i(o) = 1. Let v(r) = 2*i(r) + z(r). Calculate v(u(d)). 5*d Let g(z) = 75*z. Let f(k) = k**2. Give g(f(s)). 75*s**2 Let l(a) = -2*a. Let o(c) = 1 - 1 + 19*c + 19*c. Calculate o(l(m)). -76*m Let m(g) = 1 - 1 + g**2 - 2*g**2. Let u(h) = -1778 + 1778 - 4*h. Calculate m(u(n)). -16*n**2 Let x(m) = -1043*m**2. Let j(l) = 2*l**2. Give x(j(h)). -4172*h**4 Let m(v) = 11*v. Let b(x) = 70*x**2. Calculate m(b(i)). 770*i**2 Let h(j) be the second derivative of 1/3*j**3 + 0*j**2 + 0 - 2*j. Let l(w) = -w**2. What is h(l(t))? -2*t**2 Let g(j) = 12*j**2 + 13. Let l(k) = -3*k. Give g(l(n)). 108*n**2 + 13 Let y(k) be the first derivative of 3*k**2/2 + 3. Let t(i) = 2*i**2. Give t(y(n)). 18*n**2 Let p(c) be the second derivative of 113*c**4/12 - 17*c. Let h(w) = 2*w. What is h(p(f))? 226*f**2 Let w(f) = -5*f**2. Let g(y) = -3*y**2. Give g(w(h)). -75*h**4 Let p(b) = 3*b**2. Let h(a) = -1666*a. Calculate p(h(f)). 8326668*f**2 Let b(o) = -3579*o**2. Let i(r) = -2*r. Determine i(b(y)). 7158*y**2 Let i(y) = -y**2 + 4*y + 7. Let j be i(5). Let c(q) = 2*q - 4*q - 2*q + j*q. Let k(m) = -5*m. What is k(c(d))? 10*d Let z = -30 - -24. Let x(c) = c**2 + 2 + 5 - 1 + 6*c. Let i(l) = l + 1. Let v(a) = z*i(a) + x(a). Let p(q) = 9*q. Give p(v(f)). 9*f**2 Let o(g) be the second derivative of g**3/2 + 84*g. Let x(k) = -2*k**2 - k**2 + k**2. Determine x(o(n)). -18*n**2 Let h(l) be the first derivative of l**2 + 0 + 0*l**2 - 1. Let x(w) be the first derivative of w**2 + 1. Calculate h(x(s)). 4*s Let o(t) = 3*t**2. Let q(d) = -4*d**2 - 6*d - 10. Let j(w) = w**2 + w + 1. Let s(c) = 6*j(c) + q(c). Let y(a) = -1. Let r(x) = s(x) - 4*y(x). What is r(o(l))? 18*l**4 Let s(h) = 2*h + h - h. Let q be (-18)/(-4) - 5/10. Let r(l) = -8*l - 9. Let m(k) = -k - 1. Let p(y) = q*r(y) - 36*m(y). Calculate s(p(n)). 8*n Let l(x) = -7*x + 3. Let n = -18 - -28. Let o(p) = 22*p - 10. Let s(a) = n*l(a) + 3*o(a). Let r(i) = -i. What is r(s(y))? 4*y Let n(w) = 4*w. Let z(j) = -j**2 - 19. Determine z(n(b)). -16*b**2 - 19 Let g(r) = 44*r**2. Let o(f) = 3*f**2 - 3*f. Determine g(o(v)). 396*v**4 - 792*v**3 + 396*v**2 Let s(t) = 11*t**2 - 5. Let x(d) be the third derivative of -d**5/12 + d**3/3 - d**2. Let o(w) = 2*s(w) + 5*x(w). Let i(n) = 2*n**2. What is i(o(q))? 18*q**4 Let n(t) = 2*t. Let z(s) = 2*s + 358. Determine n(z(j)). 4*j + 716 Let f(j) be the first derivative of -2 - 2/3*j**3 + 0*j**2 + 0*j. Let n(r) = 2*r. Give f(n(i)). -8*i**2 Let r(h) = 22*h**2. Let w(i) = 0*i**2 + 4*i**2 - 4*i**2 + i**2. What is r(w(p))? 22*p**4 Let g(j) = 71 - j**2 - 71. Let c(i) = 0*i + 2*i + 2*i. Give c(g(w)). -4*w**2 Let f(l) = 4*l**2 + 25*l. Let d(j) = 3*j. Calculate d(f(b)). 12*b**2 + 75*b Let l(m) = 12*m**2. Let x(h) = 41*h - 4. Determine x(l(r)). 492*r**2 - 4 Let j(a) = -8*a. Let y(l) = 44*l + 3. Give y(j(w)). -352*w + 3 Let f(d) = 9*d. Let m(y) be the second derivative of -y**4/6 + 8*y. Calculate f(m(w)). -18*w**2 Let i(g) be the third derivative of -9*g**4/8 + 5*g**2. Let t(o) = -2*o**2 + 2 + 0*o**2 - 2. Give t(i(m)). -1458*m**2 Let u(x) = -2*x. Let y(v) be the first derivative of v**3/3 + 10. Calculate y(u(j)). 4*j**2 Let m = 3 - 0. Let t(y) = -m*y + 0*y + 0*y. Let h(r) = 2*r. Calculate h(t(s)). -6*s Let i(z) = z. Let s(a) be the third derivative of a**6/360 - a**3/2 + a**2. Let j(w) be the first derivative of s(w). Calculate j(i(n)). n**2 Let y(o) = 5*o. Let r(s) = 81*s. Suppose -2*f + 5*f = -h - 14, -16 = 4*f. Let v(d) = h*r(d) + 33*y(d). Let p(x) = -3*x. What is p(v(g))? -9*g Let h(v) = 8*v**2. Let x(m) be the first derivative of 0*m + 4 - 2/3*m**3 + 0*m**2. Give x(h(u)). -128*u**4 Let w(i) = -i**2. Let z(s) = -3570*s**2. Give w(z(k)). -12744900*k**4 Let b(d) = 4*d + 0*d + 7*d - 7*d. Let c(t) be the second derivative of 0 + 1/3*t**3 + 0*t**2 - t. What is c(b(x))? 8*x Let g(c) = c. Let u(v) = -9*v + 65. Let q(m) = 3*m - 22. Let p(j) = -7*q(j) - 2*u(j). Let y(h) = 1. Let b(l) = 5*p(l) - 120*y(l). What is b(g(d))? -15*d Let a(m) = -7*m**2. Let z(w) = -844*w**2. Calculate a(z(u)). -4986352*u**4 Let q(k) = -2*k. Let i(s) = -18*s**2. Let p(r) = -27*r**2. Let a(h) = 7*i(h) - 5*p(h). Determine q(a(d)). -18*d**2 Let v be (-2)/(-7) + 4/(-14). Let q be (0/(-4 + 3))/1. Let o(g) = q*g - g + v*g. Let w(r) = r**2. What is w(o(b))? b**2 Let h(r) = 7*r + 7. Let z(p) = 7*p + 6. Let x(g) = 6*h(g) - 7*z(g). Let y(b) = 3*b**2. Calculate x(y(i)). -21*i**2 Let s(h) = -128*h**2 + 56*h**2 + 67*h**2. Let l(q) = -q. Determine l(s(n)). 5*n**2 Let k(s) = -2*s. Let g(n) = -35*n. Let v(l) = -5809*l. Let b(o) = -333*g(o) + 2*v(o). Give k(b(u)). -74*u Let n(y) = 2*y**2. Let a(p) = 2074*p**2. What is n(a(c))? 8602952*c**4 Let w(f) = 13*f + 4. Let t(r) = -276*r. What is t(w(b))? -3588*b - 1104 Let x(n) = 4*n**2 + 3*n + 3. Let s(u) = 9*u**2 + 7*u + 7. Let l(f) = 3*s(f) - 7*x(f). Let w(i) = -7*i**2. What is w(l(g))? -7*g**4 Let g(s) = -6*s**2. Suppose -4*r - 3 = -7. Let w(h) = 2*h**2. Let a(i) = -i**2. Let l(y) = r*w(y) + a(y). Determine g(l(k)). -6*k**4 Let x(u) = 0 + 0 - 8*u**2. Let r be ((-54)/(-1) - 3) + 3. Let k(t) = 54 + t - r. Determine k(x(d)). -8*d**2 Let t(g) = 30*g + 4. Let j(x) = -7*x. Determine t(j(q)). -210*q + 4 Let u(n) = 12*n + 195. Let d(c) = 2*c - 4*c + 15 + 3*c. Let l(o) = -27*d(o) + 2*u(o). Let x(r) = -1. Let y(h) = l(h) - 15*x(h). Let m(s) = s. Determine m(y(z)). -3*z Let b(y) = -292*y. Let l(m) = m. Calculate b(l(n)). -292*n Let j(s) = 10*s. Let z(l) be the third derivative of l**5/10 + 2*l**2 - 9. Calculate z(j(a)). 600*a**2 Let c(l) = 8*l - 5. Let y(b) = -14*b + 8. Let i(o) = 43*o - 24. Let d(q) = 2*i(q) + 7*y(q). Let s(m) = 8*c(m) + 5*d(m). Let g(v) = 2*v**2. Calculate s(g(w)). 8*w**2 Let p(i) = 3*i.
{ "pile_set_name": "DM Mathematics" }
t l = 10 + -14. Let g be s(l). Let d be (392/(-6))/(g/(-45)). Round d to the nearest one hundred. -500 Let h = -8.4 + 4.35. Let d = 0.25 + h. What is d rounded to 0 decimal places? -4 Let p(x) = x - 10. Let y be p(10). Let n = 2 + y. Let q be (2 - 7)/(n/(-10)). Round q to the nearest ten. 30 Let u = 5.7 + -4. Let z = u - 1. Let g = -0.69999988 + z. What is g rounded to 7 dps? 0.0000001 Let z = 10 - 9.2. Let x = -6.2515 + 7.05. Let u = x - z. What is u rounded to three dps? -0.002 Let w = 86 - 86.00000005. Round w to 6 decimal places. 0 Let b be 2002 - ((-2 - -6) + -2). What is b rounded to the nearest 1000? 2000 Let s(t) = 3*t. Suppose 3*k - k - 3*l - 2 = 0, 2*k - 6 = 5*l. Let r(z) = z - 1. Let u(w) = k*r(w) - 2*s(w). Let h be u(6). What is h rounded to the nearest 10? -50 Let n = -20 - -19.999989. What is n rounded to 5 dps? -0.00001 Let l = -104215.9 + -2238860.1. Let i = l + 2343104.000022. Let z = 28 - i. What is z rounded to 5 dps? -0.00002 Suppose 2*b + 263 + 49 = 0. What is b rounded to the nearest ten? -160 Let j = -213.139 - -213. Round j to two decimal places. -0.14 Let f = -19540.10500058 + 19540.1. Let i = -0.005 - f. Round i to 7 decimal places. 0.0000006 Let l = -0.03 + 0.21. Let q = l - -0.053. Let f = q + -1.803. What is f rounded to one dp? -1.6 Let v = -318.99706 + 319. What is v rounded to 4 dps? 0.0029 Let v = -52.62 - -52. Let f = v + 0.39. Let i = -0.4 - f. Round i to 1 dp. -0.2 Let g(x) = 20599994*x + 6. Let d(j) = 597399825*j + 175. Let a(u) = -6*d(u) + 175*g(u). Let n be a(-1). Round n to the nearest one million. -21000000 Let d(s) be the second derivative of s**3/2 - s**2 - s. Let w be d(-4). Round w to the nearest 10. -10 Let h = -1.4 + 1.47. Let q = h - 0.067. Round q to two decimal places. 0 Let g(k) = -176*k**2 - 4*k - 8. Let l be g(9). What is l rounded to the nearest 1000? -14000 Let j = 41.24185 - 43.342. Let m = j + 2.1. What is m rounded to 4 decimal places? -0.0002 Suppose s = -s - 213780. Let i = -196890 - s. What is i rounded to the nearest one hundred thousand? -100000 Let v = 63.972 - 64. Round v to 2 dps. -0.03 Suppose -4*x - 23617957 + 817957 = 0. What is x rounded to the nearest one million? -6000000 Suppose -5*w + 5*n = 0, w - 2*n = n - 10. Suppose z + 2*m + 3*m - 99985 = 0, w*z = m + 500003. What is z rounded to the nearest 10000? 100000 Let y = 387.65 - 392.2422. Let u = 46 + -50.6. Let h = u - y. Round h to three dps. -0.008 Let a = 231.6 + -229.126. Let o = -2.5 + a. What is o rounded to two decimal places? -0.03 Let b be 232/(-12)*(3 + 6). What is b rounded to the nearest ten? -170 Let r be (-13)/3 + 2/6. Let u(a) = -175*a**2 + 3*a + 2. Let n be u(r). Round n to the nearest one hundred. -2800 Let s = 303590 + -303589.739997. Let q = s + -0.26. Round q to 6 dps. 0.000003 Let t be (4 - 1560001) + -3 + 0. What is t rounded to the nearest 100000? -1600000 Let c = -17374 + 10574. What is c rounded to the nearest one thousand? -7000 Let z = -31.00836 + 31. What is z rounded to three decimal places? -0.008 Let k = 0.97 + 1.7. Round k to 1 decimal place. 2.7 Let b = 27 + -27.76. Let g = 1.53 + b. Round g to 1 dp. 0.8 Suppose -3*c + 6 + 9 = 0. Suppose 0 = -0*d + c*d + 9500000. What is d rounded to the nearest 1000000? -2000000 Let g be -1213116*3*8 + -1. Let z = -102114789 - g. Let o be z/(-10) - (-4)/(-10). Round o to the nearest one million. 7000000 Let s = -480547705371361.4999967 + 480547725475240. Let g = -20103877 + s. Let k = g - 1.5. What is k rounded to 6 dps? 0.000003 Let c = 71 - 70.9826. Round c to three decimal places. 0.017 Let g = 43 - 40.9. Let t = -2.09999935 + g. What is t rounded to seven dps? 0.0000007 Let q = 3 + 0. Let l = 2.94 - q. Let g = l - -0.0545. Round g to 3 dps. -0.006 Let b = -0.077998616 + 0.078. What is b rounded to 7 decimal places? 0.0000014 Let x = 128.00000061 + -128. Round x to 7 decimal places. 0.0000006 Let r = 0.0552 + -90.4552. Round r to the nearest ten. -90 Let k = 61385 - 23700. Let r = k - 63685. What is r rounded to the nearest 10000? -30000 Suppose 0 = -4*b + 6*b - 57644. Suppose f - 4178 = b. What is f rounded to the nearest ten thousand? 30000 Let w(i) = i**3 - 22*i**2 - 8*i + 4. Let r be w(22). Round r to the nearest ten. -170 Let a = -212.802 - 5.158. Let f = 2.04 - a. Let l = 219.99911 - f. What is l rounded to 4 dps? -0.0009 Let m = -1.04 - -1.04129. Round m to four dps. 0.0013 Let q = -19.87 - -20. Let d = q - 15.13. Let u = d - -15.11. What is u rounded to one dp? 0.1 Let g = 59.1237 - 0.0237. Let b = 56 - g. Let y = b + 5.5. Round y to the nearest integer. 2 Let f be 3 - (-2 + 1 + -1). Let p(i) be the third derivative of i**5/60 - i**4/4 - i**3/6 - i**2. Let c be p(f). Round c to the nearest ten. -10 Let o = -7 - -11. Suppose 2*t + 10 = 0, 0*t = -o*d - 2*t + 583990. Round d to the nearest 10000. 150000 Let u be 55397/2 + 15/10. Round u to the nearest one thousand. 28000 Suppose 0 = 4*h + 4, -4*l - 1800005 = 6*h - h. Round l to the nearest 100000. -500000 Suppose -2*r + 3*s = -5, 4*r - 2*s + 10 = -0*s. Let u be r/(-2) + 1/(-2). Suppose -u*d + d - 7400 = 0. What is d rounded to the nearest one thousand? -7000 Suppose 5*m + g + 1458826 = 0, 4*g - 1458821 = -m + 6*m. Suppose -4*h - 3669807 = -102747. Let c = m - h. Round c to the nearest 1000000. 1000000 Let b = 0.55 - 0.5499556. Round b to five dps. 0.00004 Let p = 158.77 + -160. Let b = 54.23 + p. Let s = 52.99999895 - b. What is s rounded to 7 decimal places? -0.0000011 Let k = -0.06 + 0.15. Round k to 1 dp. 0.1 Let b = -14.3 + -3.3. Let y = -222.2 + 205.59. Let p = y - b. Round p to one decimal place. 1 Let m = 505.928 + -520. Let t = 14 + m. Round t to two decimal places. -0.07 Suppose -4*b - b = 3*r + 235, 2*r = -3*b - 140. Round b to the nearest 100. -100 Let s = 1164749 - 724749. Suppose -8*h = -4*h + s. Round h to the nearest ten thousand. -110000 Let p = -0.145 + 0.1244. What is p rounded to 3 dps? -0.021 Let w = -819.46 + 820.210041. Let s = 0.75 - w. Round s to 5 dps. -0.00004 Let p = -30 - -17. Let z = -12.9999952 - p. What is z rounded to six decimal places? 0.000005 Suppose -12*v + 84500000 = -17*v. Round v to the nearest 1000000. -17000000 Let v(p) = -p**3 - 8*p**2 + p + 11. Suppose 3*g + 2 = -22. Let h be v(g). Suppose t = h*t - 4200000. Round t to the nearest one million. 2000000 Let h = 6 + -5. Let p = h + -8. Round p to zero dps. -7 Let s = 19.562 + -17.56. Let a = 6 + -4. Let y = s - a. What is y rounded to 2 dps? 0 Let l be 119097871/(-5) - (-1)/5. Let r = l + 9219574. Round r to the nearest one million. -15000000 Let p = -9.5 - -49.5. Let l = -1 - p. Let q = -41.0057 - l. Round q to three dps. -0.006 Let v = 2 + -1.8. Let k = v + -1. What is k rounded to the nearest integer? -1 Let m be (0 - 0) + (-159)/(6 - 3). Round m to the nearest 10. -50 Suppose -s + 2 + 5 = -h, 0 = 5*s + 2*h. Suppose 0 = w - 3*u - 4499997, -s*w + 12124963 - 3124967 = -4*u. What is w rounded to the nearest 1000000? 5000000 Let s be ((-181072)/(-6))/(1/36). Let i = 2356432 - s. What is i rounded to the nearest 100000? 1300000 Suppose -5*x = -5*k - 10, -k + 0*k + 1 = 2*x. Let i be 1459998 - (0 + (k - 1)). Suppose s + s - i = 0. What is s rounded to the nearest 100000? 700000 Let f = 125.5 - 66. Round f to the nearest ten. 60 Let h be 10592/10 + (-4)/(-5). What is h rounded to the nearest 100? 1100 Let m = -52598013 - -52598007.99999995. Let f = 0.8 + 4.2. Let k = f + m. What is k rounded to seven dps? -0.0000001 Let i = 6 + -6.04. Let z = i + 0.028. Round z to two dps. -0.01 Let x = -386 + 386.3146. Let a = -41 - -41.31. Let r = x - a. Round r to three dps. 0.005 Let n = -18737620 + 7703456. Let i = n - -11034140.999981. Let u = -23 - i. Round u to 5 dps. 0.00002 Let j = -26155 + 3914. Let q = 2359 + j. Let z = 40882 + q. Round z to the nearest ten thousand. 20000 Let n = -7.7 - -7.568. Let l = n + 0.1. What is l rounded to 2 decimal places? -0.03 Let k = 248.7 + -258.79. Round k to zero dps. -10 Let h = -211 + 118. Let n = h - -93.00000061. What is n rounded to 7 dps? 0.0000006 Let f = 9 - 3.7. Let p = f - 10.26. Let d = 5 + p. What is d rounded to one decimal place? 0 Let u(j) = -147144*j - 2. Suppose -9 = 2*o - a - 2*a, 0 = -4*o + 4*a - 16. Let c be u(o). Suppose 0 = r + c + 158570. Round r to the nea
{ "pile_set_name": "DM Mathematics" }
-111 In base 13, what is -10 + -955? -965 In base 10, what is 18 - -3? 21 In base 8, what is 21 + 337? 360 In base 13, what is 9b - 17? 84 In base 4, what is 32 + -100? -2 In base 3, what is 1102200102 + 12? 1102200121 In base 8, what is -23223 + -3? -23226 In base 11, what is -4 - 50? -54 In base 7, what is -60423 - -2? -60421 In base 8, what is -47 + -2? -51 In base 2, what is 1010 - -1011111010? 1100000100 In base 3, what is -20022 + 1201? -11121 In base 7, what is 2 + 254? 256 In base 15, what is 18e + 0? 18e In base 16, what is -556 + -6? -55c In base 14, what is -2137 + -3? -213a In base 5, what is -3 - -233? 230 In base 3, what is 211 + -2212? -2001 In base 9, what is 63 + -27? 35 In base 14, what is 4 - 403? -3dd In base 10, what is 25 - -254? 279 In base 7, what is 55 - -3? 61 In base 8, what is -52 + -14? -66 In base 9, what is -46 + -7? -54 In base 9, what is 214 - -38? 253 In base 11, what is 2470 - 0? 2470 In base 12, what is 1 - 13? -12 In base 4, what is -33 + 220? 121 In base 9, what is 50 + -7? 42 In base 6, what is -30 - -1325? 1255 In base 12, what is 96 + 3? 99 In base 10, what is 801 + 5? 806 In base 2, what is 1100011 - 110? 1011101 In base 2, what is -1 - -100100? 100011 In base 5, what is -111 - -223? 112 In base 12, what is -10 - -78? 68 In base 8, what is -207 - -11? -176 In base 13, what is -37 + -5? -3c In base 5, what is -2104 - 10? -2114 In base 11, what is -4a - -2? -48 In base 2, what is 10 + -1101? -1011 In base 10, what is -1 + 463? 462 In base 3, what is 1200211 + 0? 1200211 In base 4, what is -331 - 1? -332 In base 7, what is 145 + -10? 135 In base 16, what is 0 - -2a? 2a In base 2, what is -10 + 110010? 110000 In base 14, what is -2 - 6a? -6c In base 7, what is -3 + 450? 444 In base 5, what is 4 - -3340? 3344 In base 3, what is 10011 - -2? 10020 In base 16, what is 1 + -74? -73 In base 14, what is 1 + -b92? -b91 In base 3, what is 12 + 20121? 20210 In base 15, what is -14d + -2? -150 In base 5, what is -13040 + 10? -13030 In base 13, what is -553 + 0? -553 In base 13, what is -17b - -15? -166 In base 16, what is 21 + -19? 8 In base 14, what is 10a - ab? 3d In base 4, what is 12123 - 10? 12113 In base 16, what is -5 - 206? -20b In base 7, what is -1666 - 5? -2004 In base 10, what is -3 - -9? 6 In base 2, what is -10000 - -11010? 1010 In base 16, what is -15 + 7? -e In base 4, what is 1323 + -10? 1313 In base 9, what is 1 + 3757? 3758 In base 9, what is 1284 - 2? 1282 In base 3, what is -1011 - -11? -1000 In base 2, what is 1011011 + -100001? 111010 In base 6, what is 1 + 1045? 1050 In base 6, what is -1 + 1221? 1220 In base 13, what is 5 + -c? -7 In base 13, what is -2 - 11c7? -11c9 In base 3, what is 10 - 2000? -1220 In base 8, what is -132 + 26? -104 In base 14, what is -101 - 5? -106 In base 9, what is 2 + -63? -61 In base 4, what is -13 - 1122? -1201 In base 15, what is -1e - 3? -22 In base 15, what is 1b - -44? 60 In base 8, what is 31 + 45? 76 In base 8, what is 7 + -1025? -1016 In base 12, what is b8b - 6? b85 In base 13, what is -6 - -1b8? 1b2 In base 12, what is 56 - 1? 55 In base 10, what is -127 - 2? -129 In base 4, what is -13 + -220? -233 In base 15, what is -16 - -e? -7 In base 2, what is 101111 + -1? 101110 In base 6, what is -4 + 24052? 24044 In base 4, what is 3022 + 10? 3032 In base 6, what is 234 + 5? 243 In base 15, what is e + 313? 322 In base 16, what is 168 + -2? 166 In base 6, what is 14545 - 1? 14544 In base 4, what is 3 + 20020? 20023 In base 14, what is -17 + 1a? 3 In base 3, what is -12 - 101002? -101021 In base 5, what is -2101 + 2? -2044 In base 16, what is -3 - dc2? -dc5 In base 3, what is 1100 - 11? 1012 In base 7, what is 24201 + 5? 24206 In base 4, what is 1212 + -20? 1132 In base 12, what is 61 - -2? 63 In base 12, what is -10 - -a? -2 In base 15, what is 101 - 80? 71 In base 16, what is -7 - -154? 14d In base 3, what is -2012 - 2? -2021 In base 10, what is -6 + 40? 34 In base 4, what is -10 + 12221? 12211 In base 12, what is -2 - -b8? b6 In base 3, what is -12 - -1010? 221 In base 4, what is -220 + -22130? -23010 In base 10, what is -14 - 57? -71 In base 5, what is 203 + 100? 303 In base 7, what is 163 - 3? 160 In base 14, what is 258 - -23? 27b In base 10, what is 4 + -2? 2 In base 13, what is -11 + -72? -83 In base 15, what is 4 - -36b? 370 In base 6, what is 0 - 0? 0 In base 11, what is -14 - 7? -20 In base 12, what is a4 + 5? a9 In base 4, what is -212031 + -12? -212103 In base 6, what is 10532 + 4? 10540 In base 2, what is 0 + -1010100? -1010100 In base 12, what is 2 + a? 10 In base 6, what is -3 - 24? -31 In base 5, what is 1440 - 30? 1410 In base 5, what is 432 - -122? 1104 In base 12, what is 24 + 33? 57 In base 6, what is -143555 - 1? -144000 In base 4, what is 100 + 1? 101 In base 12, what is 2b + -11? 1a In base 9, what is -1356 + 5? -1351 In base 7, what is -361 + 5? -353 In base 13, what is -14 + -27a? -291 In base 11, what is -12412 + 0? -12412 In base 11, what is -4 + -4a? -53 In base 11, what is -319 + 23? -2a6 In base 9, what is 5 - 637? -632 In base 12, what is 3 - -18? 1b In base 6, what is -15 + -125? -144 In base 11, what is -117 - 4? -120 In base 6, what is 1151 - 2? 1145 In base 2, what is -110011001 + 110111? -101100010 In base 10, what is -4 - -12? 8 In base 11, what is -3 + -426? -429 In base 6, what is -3 - 41541? -41544 In base 12, what is a6 - -3? a9 In base 5, what is -3223 + -34? -3312 In base 7, what is 551 - 2? 546 In base 6, what is 15434 + 3? 15441 In base 15, what is 7 + 9ea? a02 In base 5, what is -4223 + -41? -4314 In base 9, what is 72 + 33? 115 In base 12, what is 68b - 1? 68a In base 11, what is -1173 - -1? -1172 In base 14, what is -343 + -2? -345 In base 3, what is -100222 + 12? -100210 In base 7, what is 3 - 110? -104 In base 8, what is 0 - -25? 25 In base 4, what is -2 - 322? -330 In base 10, what is -1925 + 0? -1925 In base 9, what is -4750 + -3? -4753 In base 12, what is -21b - 2? -221 In base 8, what is 2043 - 3? 2040 In base 6, what is -2 - -451? 445 In base 3, what is 10112 - 0? 10112 In base 10, what is -39 - 9? -48 In base 14, what is 1 + 10? 11 In base 4, what is -113 - 22? -201 In base 14, what is 3 - -49a? 49d In base 11, what is 0 - 164? -164 In base 13, what is -10 + 3? -a In base 6, what is -10 - 222? -232 In base 12, what is 21 - -91? b2 In base 3, what is 111 - -212? 1100 In base 5, what is -3 - 43? -101 In base 12, what is -25 + 0? -25 In base 10, what is -4 + 3208? 3204 In base 14, what is -2 - 37? -39 In base 5, what is -4332 + 2? -4330 In base 7, what is 110 - 1? 106 In base 16, what is db + -5? d6 In base 9, what is -1313 + 5? -1307 In base 12, what is 1 - -372? 373 In base 14, what is 5 - -80? 85 In base 3, what is -21 - -202? 111 In base 5, what is -3 + 4304? 4301 In base 7, what is -5 - -535? 530 In base 2, what is -111100111 - -10010? -111010101 In base 4, what is 322 - 13? 303 In base 14, what is -4 - 2ba0? -2ba4 In base 15, what is 0 + -32a? -32a In base 5, what is -131110 - -4? -131101 In base 2, what is -101 + 11011101011? 11011100110 In base 12, what is 2 - 85? -83 In base 7, what is -3 - 1310? -1313 In base 13, what is -9 - -1a4? 198 In base 12, what is -763 + 5? -75a In base 8, what is -17 - 16? -35 In base 8, what is -3 + 0? -3 In base 5, what is -2 - 123? -130 In base 13, what is -113 + -2? -115 In base 5, what is 3140 - -100? 3240 In base 3, what is 220 + -1011? -21 In base 16, what is 8 + 15? 1d In base 4, what is 11 - -100? 111 In base 16, what is 6 - 9? -3 In base 4, what is -10 + 311? 301 In base 2, what is -1001000 - 10? -1001010 In base 2, what is -10011 - 101? -11000 In base 14, what is 3 + -2c1? -2bc In base 16, what is -3 - 7ca? -7cd In base 11, what is 27 - 5? 22 In base 16, what is 995 - -5? 99a In base 3, what is -11 - 11000? -11011 In base 8, what is 4 + -3? 1 In base 14, what is -3b - 3? -40 In base 10, what is -240 - 13? -253 In base 2, what is 10100 + 110? 11010 In base 3, what is -110210 - -21? -110112 In base 10, what is -145 + 1? -144 In base 4, what is 10 - -13111? 13121 In base 9, what is 0 - 1240? -1240 In base 5, what is -1 + 304? 303 In base 4, what is -23202 - -102? -23100 In base 14, what is 2 + 4? 6 In base 14, what is -13 - -b? -6 In base 8, what is 7411 + 0? 741
{ "pile_set_name": "DM Mathematics" }
. Let i = x - -96.919. Let q = i - 101. Which is the third smallest value? (a) 13 (b) 1/4 (c) q a Let f = 352.35 - 352.75. Let d = 0.1 + -0.1. What is the biggest value in 4, d, -0.6, f? 4 Let o(j) = -337*j + 4069. Let a be o(12). What is the fourth biggest value in a, 3, -1/5, 0.4? -1/5 Let p = -17/4 - -61/12. Let i = -83/114 + p. Which is the second biggest value? (a) i (b) 1/5 (c) 1.9 b Let g = -195 + 117. Let d = 90 + g. Let x be -2 + 3 + (-8)/d. Which is the second smallest value? (a) -9 (b) x (c) 4 b Let l be (-87)/(-58) + 51/(-42). Which is the fourth smallest value? (a) -0.3 (b) 0.3 (c) -969 (d) l (e) -5 d Let b = -0.729 - -0.96. Let h = 3.231 - b. What is the fourth smallest value in h, -1, -3/5, 0? h Let v = 48394/2871 - 490/29. What is the biggest value in v, 0, -4/7, -3? 0 Let t = -2.6 - -4.31. Let u = -2.21 + t. Which is the biggest value? (a) u (b) 1 (c) -2/149 b Let g = -16539.3 + 16539. What is the fourth smallest value in g, 3, 4, 2, -1.73? 3 Let p = 10.02 + 4.98. What is the biggest value in -0.4, p, 5, -0.012? p Let g = 5 + -16/3. Let i = 1038 + -1038.79. Let f = 1.19 + i. Which is the fourth biggest value? (a) g (b) 3 (c) 5 (d) f a Suppose 4*x = -5*j + 1469, 4*x - 4*j - 1395 = 29. Let u = x - 366. Which is the smallest value? (a) u (b) 0 (c) 0.7 a Let p be 16/14*3/(-6). Let f = -1.0756 + 1.175. Let t = -0.5994 + f. What is the third smallest value in p, t, 6? 6 Let x be (1 - (5 + -4))/((-44)/(-11)). Which is the smallest value? (a) -1/5 (b) -1 (c) x (d) 10 (e) -5 e Let n = 0.03 - 0.03. Let k(v) = -2*v - 4. Let s be k(7). Let o be ((-8)/(-14))/(s/(-21)). What is the third smallest value in 0.08, n, o, -5? 0.08 Let f = 2/9 - 8/9. Let i = 6.171 - -2.829. Which is the fourth smallest value? (a) -0.5 (b) f (c) 5 (d) i d Let q = -216 - 23.4. Let o = 239 + q. What is the third smallest value in -1/8, 16, o? 16 Let p = 372788 + -372785. Let w = -13 - -9. Let u be 1/(3/(-6) + 1). Which is the smallest value? (a) w (b) p (c) u a Let u = 360.49 - -7.51. Let b = 373 - u. What is the second smallest value in b, 0.3, 10? b Let x = 0.83 + -53.83. Let m = x - -52.2. Let z = -0.5 - m. Which is the third smallest value? (a) z (b) 4/9 (c) -0.5 b Let p be (104/(-65))/(-8)*3. Suppose -4*y - 277 = -3*i, y + 5*i + 119 = -y. Which is the third smallest value? (a) y (b) -0.4 (c) p c Let r = -1.12 - 4.28. Let y = 4.4 + r. Let f = -1.99 + -0.01. What is the biggest value in y, -0.2, 3/2, f? 3/2 Let t = -1805 - -1801. What is the smallest value in t, -2/217, 4? t Let l = 84.6 - -19.4. Let s = 103 - l. Which is the third biggest value? (a) s (b) -0.003 (c) -4 c Let g = -7335 + 7339. Which is the second smallest value? (a) 0.4 (b) 28/9 (c) g (d) 1/3 a Let h = 10107 + -10103. What is the second biggest value in -0.2, h, -4, 241/4? h Let o = -7 + 96. Let w = o + -85. Let a = -0.33 - -0.72. What is the second biggest value in a, 0.5, w? 0.5 Let q = 80 + -69. Suppose 4*f + 7 = q*f. Let h be 0 + f + -26 + 22. What is the smallest value in -3/11, -4, h? -4 Let h = 3.254 - 2.754. What is the biggest value in h, 1/28, 4/19? h Suppose 18*z + 15906 = 15834. Which is the second biggest value? (a) 6.7 (b) -5 (c) 1 (d) 0.3 (e) z c Let a(z) = -10*z + 377. Let p be a(38). What is the biggest value in 25, 0.5, -0.3, p? 25 Let m = -50376 + 50379. Let t = -1 - -0.9. Let x = 55/3 - 19. Which is the biggest value? (a) -3 (b) t (c) x (d) m d Let m = -5.8 + 6.8. Let n = 5.8 + -7.8. Which is the smallest value? (a) m (b) n (c) 0.001 b Let p = 282 + -417. Let n = 135 + p. What is the smallest value in 0.5, -3, 0.4, n? -3 Suppose -6*s + 4*s = 3*z - 15, -21 = -5*z - 2*s. Suppose 15*g - 17 - 13 = 0. Let h = 838/7 + -120. Which is the smallest value? (a) z (b) h (c) g (d) 0.4 b Let k = 18.6 + -14.6. Let y = -9 - -20. Let h = y - 13. Which is the smallest value? (a) 8 (b) 1/4 (c) h (d) k c Let s = 0.44 - 0.04. Let j = -861 - -4303/5. Let o = 1/63 - 19/63. Which is the third biggest value? (a) o (b) j (c) s b Let p = -111 + -233. Let x = 342 + p. Which is the smallest value? (a) 0.5 (b) x (c) -0.06 b Let g(f) = -2224*f - 2219. Let s be g(-1). Let o = -11 - -6. Which is the smallest value? (a) 1.7 (b) -4 (c) s (d) o d Let u = 5853 + -5855. What is the third smallest value in u, -17, 1, 1/8? 1/8 Let v = -9878 - -9892.318. Let x = v - -0.682. Which is the smallest value? (a) -1/2 (b) -2/15 (c) x a Let f = -0.079 + 172.079. Let v = f + -171.686. Let z = -0.014 + v. Which is the second smallest value? (a) -5 (b) -1/13 (c) z b Let z = 582 + -584.068. Let n = z - -0.198. Let d = n + 0.87. What is the third smallest value in -0.05, 2, d? 2 Let u = -17.9 + -79.1. Let g = 114 + u. Let j = 18 - g. Which is the second biggest value? (a) j (b) -0.1 (c) -1 b Let f = -0.543 + 40.843. Let i = f - 43.3. Which is the smallest value? (a) 139 (b) -2/5 (c) 3 (d) i d Let p = -7 - -5. Let i be (4/7)/(p - -1). Let u = -1302.4 - -1302. What is the fourth smallest value in u, 5, i, -2? 5 Let j = 56 + -56.056. Let m = j - -0.356. Let v = -9 + 4. What is the second smallest value in m, 1, v? m Let r = -499.4 + 499.1. What is the biggest value in 2.66, -5, r? 2.66 Let v be 8/2 - 3306/377. Let k = v + 323/65. Which is the third biggest value? (a) 1 (b) -0.11 (c) k b Let p = 0.266 + -0.236. Which is the second smallest value? (a) p (b) -3 (c) -5 (d) 3 (e) 7 b Let s = -247 + 539. Let k = 292.2 - s. Which is the third biggest value? (a) -2/9 (b) k (c) -0.04 (d) -3 a Let o = 96.796 - -0.204. Let s = o + -101.8. Let m = s - -9.8. What is the third smallest value in -0.4, 2/11, m? m Let g = -6833 + 6832. Which is the fourth biggest value? (a) g (b) -0.06 (c) 3/38 (d) 4 a Let r = -494.1 - -427. Let m = r + 67. Which is the smallest value? (a) m (b) 3 (c) -0.14 c Let c = -5.2 + -17.3. Let v = c - -22.8. What is the fourth smallest value in v, 4, 1, -1/4? 4 Let q = -6625 + 6626.6. Which is the third biggest value? (a) -4 (b) -2 (c) q (d) 10 b Let m = 13.779 + -13.279. Which is the second smallest value? (a) 4 (b) -2632 (c) m c Let m = 18781.9786 + -18779. Let p = 0.0214 + m. Which is the fourth biggest value? (a) 1 (b) p (c) -0.2 (d) 0.13 c Let f = 19672.2 + -19672. Which is the third biggest value? (a) -1/4 (b) f (c) -2 (d) 6.94 a Let w = 0.4808 + -0.3608. What is the smallest value in 0.2, w, 30? w Let z = 188.51 - -3.49. Let p = z + -191.8. Let f = 0.3 - 1.3. Which is the fourth smallest value? (a) p (b) f (c) -1/8 (d) 0.3 d Let z = -98 - -99. Let s = -240 - -240.3. What is the second smallest value in z, 0.2, s, 0.4? s Let m = -77 - -77.07. Let r = 2.4 + -0.2. Let d = -2.3 + r. What is the smallest value in -3, m, d? -3 Let d be 1 - -3 - 1 - 45. Let w be (12/d)/(-3*(-1)/(-3)). Let i = 1 + -3. Which is the second biggest value? (a) w (b) -2/17 (c) i b Let y = -6 + 2. Let p = -6 + 4. Let w = -100236.2 + 100236. Which is the fourth smallest value? (a) y (b) -1 (c) p (d) w d Suppose -9*c - 450 = 6*c. Let s be (-15)/(-9) - (-3 - c/6). What is the biggest value in s, -2/7, 0.16, 1? 1 Suppose 12 = -4*l + 2*v, -2*l - 2*l - 4*v - 12 = 0. Let r = -0.0682 + 314.0682. Let m = r + -313. What is the third biggest value in l, m, -2/9, 4? -2/9 Let l = -0.616 + 0.316. Which is the biggest value? (a) 0 (b) -337 (c) -1 (d) l a Let p be (-2)/(-5) + (-1696)/1590 + (-22)/(-51). Which is the smallest value? (a) 1/3 (b) 0 (c) p (d) -2 d Let f = 4119 - 4118.8. Suppose 4*z = 8, -5*q + 6 = -4*z + 34. Let u = q + 3. Which is the fourth smallest value? (a) f (b) -3 (c) 1/2 (d) u c Let d = -3469.3 + 3469. What is the second biggest value in -4, -5, -0.6, 3/2, d? d Let y = 1098.7 + -1099. Which is the biggest value? (a) y (b) 3 (c) -5 (d) 16/23 b Let g = 0.14 + -29.34. Let y = g - -29.2. Which is the biggest value? (a) -5 (b) -2/5 (c) y c Suppose 0 = -4*r + 5 + 7. Let q = 75 + -77. Let g be (r/(-6))/(-1*(-3)/q). Which is the third smallest value? (a) 0.5 (b) 5 (c) 4 (d) g c Let r = -30 - -139. Let g = r + -108. What is the smallest value in -5, -1, g, 3/2? -5 Let z = 112.98 - 110.68. Which is the second smallest value? (a) z (b) 0.2 (c) 61 a Suppose 8*z - 36 = 12*z. Let w(t) = -t**2
{ "pile_set_name": "DM Mathematics" }
*(-1/3)*f*f))/f))/f*f)**(-2/123))**24 assuming f is positive. f**(-128/123) Simplify k/((k/((k**(1/4)*k)/k))/k)*k**10*k**(-6)*k*k/(((k*k**(6/7))/k)/k)*k assuming k is positive. k**(235/28) Simplify (j/(j**(-5)/j))**(7/4) assuming j is positive. j**(49/4) Simplify (b/(b**(-2/7)*b))**4*b**(-4/7)*b*(b**2*b)/b assuming b is positive. b**(25/7) Simplify g**(-4/7)/((g*g*g**(-2/7)*g)/g)*g**(-2/19)/g**5 assuming g is positive. g**(-983/133) Simplify (s**0*s**4)/((s/(s/(((s**(-4/3)*s)/s)/s*s)))/s*s*(s*(s/((s*s**(2/7))/s)*s)/s)/s) assuming s is positive. s**(97/21) Simplify f**(-13)*f**(-9/2) assuming f is positive. f**(-35/2) Simplify v*v**(-24)*v**(-12) assuming v is positive. v**(-35) Simplify ((v/(v*v/v**(-5)))/v**9)**(2/23) assuming v is positive. v**(-30/23) Simplify ((t/t**1)/t**(3/2))**(-16) assuming t is positive. t**24 Simplify (v/v**2)/((v/v**(-1))/v)*(v/v**(1/3))**(2/19) assuming v is positive. v**(-110/57) Simplify (((r*r**(-7/4)*r)/r*r)/(r/(r*r/(r/r**6)*r)))**(-10) assuming r is positive. r**(-145/2) Simplify (m/((m/m**19*m*m)/m)*m*m)/m**(-1/4) assuming m is positive. m**(81/4) Simplify c**(-6/13)/((c**1*c)/c) assuming c is positive. c**(-19/13) Simplify ((h*h**(-3/4))/h*h)**38 assuming h is positive. h**(19/2) Simplify o*(o*o**20)/o*o*o**(5/9)/o assuming o is positive. o**(194/9) Simplify (z**(-2/3))**37*z**(-2/7)/z*z**1 assuming z is positive. z**(-524/21) Simplify (u/(u/(u*u*u**2*u*u))*u**(1/4))/(u**(-1/3))**(11/2) assuming u is positive. u**(97/12) Simplify (c**3*c*c*c/c**3)/(c**(1/3))**43 assuming c is positive. c**(-34/3) Simplify (k**(-5))**(3/14) assuming k is positive. k**(-15/14) Simplify v**(-7)*v**14 assuming v is positive. v**7 Simplify j/((j/(j**1*j))/j)*j**(-2)*(j/((j**6*j)/j))/(j/(j/j**(-7/2))) assuming j is positive. 1/sqrt(j) Simplify (((d*d*d/d**(-1/2))/d)/d*d*d*d**(-1/4))/(d*d**(-4)*d**1) assuming d is positive. d**(21/4) Simplify (q/(q/(q**(-1/3)*q*q)))**(5/7) assuming q is positive. q**(25/21) Simplify ((s*s**(2/45))/s)/((s**(-23)/s)/s) assuming s is positive. s**(1127/45) Simplify (n**(-1))**(-3/2)*n**(-2/9)*n*n*n*n/n**(-3)*n assuming n is positive. n**(167/18) Simplify ((n/(n**(-5)/n))/(n*n**(-1)))/(n**(2/3))**(-1/84) assuming n is positive. n**(883/126) Simplify n**(6/7)*n/n**3*n**(-3)/n**0 assuming n is positive. n**(-29/7) Simplify ((i**(1/2))**(2/125))**(-8/11) assuming i is positive. i**(-8/1375) Simplify ((x/x**(-2/25))/(x**0*x))**43 assuming x is positive. x**(86/25) Simplify (w**(-8)*w/w**7)**(-7) assuming w is positive. w**98 Simplify t**19*t**0 assuming t is positive. t**19 Simplify (c**(-1/11))**(2/25) assuming c is positive. c**(-2/275) Simplify (d/((d*d*d**2)/d*d))**(-1) assuming d is positive. d**3 Simplify v**(-1/31)/(v*v/((((v/v**(3/5))/v)/v)/v)*v) assuming v is positive. v**(-873/155) Simplify ((i*i**1)/(i/(i*(i*i/(i/(i*i*i*(((i*i/i**1)/i)/i)/i*i)))/i)))**(-27) assuming i is positive. i**(-108) Simplify b**(-40)*b*b*b*(b**(-28)/b*b*b)/b assuming b is positive. b**(-65) Simplify ((r*(r*r*r*r/r**(1/2))/r*r)**(-3/11))**(-1/27) assuming r is positive. r**(1/22) Simplify (u**(-3))**(-34) assuming u is positive. u**102 Simplify ((c**(2/7)/c)**(3/5))**(-48) assuming c is positive. c**(144/7) Simplify (((u**(-2/5)*u*u)/u)/(u*u/u**(-1/8)))/(u**(1/2))**1 assuming u is positive. u**(-81/40) Simplify (f**4/f*f)/(f**(-1/12)/f)*f*f/f**(-5/6)*f*f*f*(f**(2/7)*f)/f*f assuming f is positive. f**(1025/84) Simplify (x*x/(((x*(x*x**2*x)/x)/x)/x)*x*x*x**0)**(-2/19) assuming x is positive. x**(-4/19) Simplify h**(-6/5)*h**(-14/9)/h assuming h is positive. h**(-169/45) Simplify (f**0)**32/(f/(f**4/f)*f*f**8*f) assuming f is positive. f**(-8) Simplify (g/(g/(g/((g/g**7)/g))))/(g**4*g)*g*g*g/(g*(g/(g/((g*g/(g**(-7/6)*g))/g*g)))/g*g)*g/(g/(g**(-4/9)*g))*g assuming g is positive. g**(79/18) Simplify i/(i*(i*i*i/i**(-6/11))/i)*i/i**(-11) assuming i is positive. i**(104/11) Simplify (t*t**(-20)*t)/(t*(t/(t*t**(12/11))*t)/t) assuming t is positive. t**(-197/11) Simplify w**5/(w*w**(2/11)*w) assuming w is positive. w**(31/11) Simplify ((f/f**(-5/2))/(f/(f/f**(-5))))/(f/f**(-1/4)*f*f**(4/7)) assuming f is positive. f**(159/28) Simplify (k**1/k)**(29/2)/(k**(2/7)*k**(2/9)) assuming k is positive. k**(-32/63) Simplify (g*g/(g*g**(3/4)))/(g/(g*g**(-1)))*((g*g*g/g**(-1)*g)/g)**(-2/11) assuming g is positive. g**(-65/44) Simplify (h*h/((h/(h**(-5)/h))/h)*h*h)/(h*h**(-3))*((h**(1/3)/h)/h)/(h/(h*h/(h**(-3/2)*h*h)*h)) assuming h is positive. h**(-1/6) Simplify (i**(6/7)/(i**(-4)/i))/(((i*i/(i*i/(i/((i/(i*((i*i**(-1/5))/i*i)/i))/i)))*i*i)/i)/i*i/(i/(i*i*i**1*i))*i) assuming i is positive. i**(-33/35) Simplify ((t/(t**(-1)*t))/(t*t*t**5*t*t))**(-49) assuming t is positive. t**392 Simplify j/j**(4/9)*j**(-1)/j*(j*j*j*j**(-2))/(j**(-6)/j) assuming j is positive. j**(59/9) Simplify (g/((g*g/((g/(g/g**(8/7)))/g))/g)*g*(g*g**10)/g)/(g**(-9)*g*g**(4/5)) assuming g is positive. g**(642/35) Simplify g**20/g**(-2/63) assuming g is positive. g**(1262/63) Simplify (b**3/b*b/(b/(b/(b*b**(-1)*b)))*b)/((b*b**(-2/7))/(b*b**(-1/5))) assuming b is positive. b**(108/35) Simplify a/a**(-31/2)*a*a**(2/27) assuming a is positive. a**(949/54) Simplify (t**(-1)*t**(-1))/(t**(-7/5)*t**(-2/7)/t) assuming t is positive. t**(24/35) Simplify (s**(-6/5)/s**(-7))/((s/s**(-1/3))/(s/(((s*s**(-2/11))/s)/s)*s)) assuming s is positive. s**(1262/165) Simplify (t*t/(t**2/t))**(14/5) assuming t is positive. t**(14/5) Simplify (h/(h/(h/(h/(h*h**(4/3))))*h))**(-2/83) assuming h is positive. h**(-8/249) Simplify j**16/j**(-7/6) assuming j is positive. j**(103/6) Simplify m**17/(m/m**(-5)) assuming m is positive. m**11 Simplify v**(2/19)*v/v**22 assuming v is positive. v**(-397/19) Simplify w/w**3*(w/(w/(w/((w/w**(2/3)*w)/w*w))*w))/w*(w/w**(-1))**(-43) assuming w is positive. w**(-271/3) Simplify (x*x/(x/((x/(x/(x*x*x**(1/4))))/x)*x)*x*x)**(1/18)/(x**(1/3)/x**5) assuming x is positive. x**(349/72) Simplify (x/x**4)/(x/(x**(-2)*x))*(x/x**(-1/4))**(-35) assuming x is positive. x**(-195/4) Simplify (((a*a**1)/a)/a)**0/(a*a/a**(2/3)*a)**(-24) assuming a is positive. a**56 Simplify ((h/(h*h*h**(3/7)/h*h*h*h*h))/h**(2/3))/(h**(1/2)/h)**9 assuming h is positive. h**(-25/42) Simplify (i*i*i**(1/3))**10*(i**(-1/4)/i)**(1/2) assuming i is positive. i**(545/24) Simplify (y**(-1/7))**(-9) assuming y is positive. y**(9/7) Simplify (r**(-2/13)/r**(2/19))/(r*r/(r*r**(4/3))*r*r*r**1) assuming r is positive. r**(-2168/741) Simplify y**(10/9)*y*y*y*y/((y/(y*y**(-16)))/y) assuming y is positive. y**(-89/9) Simplify w**(-23)*w*w**(1/37) assuming w is positive. w**(-813/37) Simplify s**(-2/5)/(s*s**(-3/10))*(s/((s**0/s)/s))**(2/31) assuming s is positive. s**(-281/310) Simplify (f**(-2/3))**33*(f**(-4/5)/f)/f*f*f/(f*f/((f*f*f*(f/f**(-2/7)*f)/f*f)/f)) assuming f is positive. f**(-718/35) Simplify (x*x*x**5*x)/(x*x/(x/(x**(-4/11)/x))*x) assuming x is positive. x**(81/11) Simplify i**(-5/3)*i/i**(-14) assuming i is positive. i**(40/3) Simplify (x**(-14/9)*x*x)**(-3/8) assuming x is positive. x**(-1/6) Simplify (p*p**(-3/7)*p)**(3/7) assuming p is positive. p**(33/49) Simplify (d**(-1/8)*d*d/(((d**(1/12)*d)/d)/d))**(-24) assuming d is positive. d**(-67) Simplify x/x**(-17)*x/x**6 assuming x is positive. x**13 Simplify (o/(o/(o*o**(-2/3))))**10/(o**(1/6)*o**(-4)/o) assuming o is positive. o**(49/6) Simplify (m**0/m*m**(-8)*m)**18 assuming m is positive. m**(-144) Simplify (x*x**(1/17)*x)/x**(1/16) assuming x is positive. x**(543/272) Simplify (g**(-2/11)/g)/((g/g**(-4)*g)/g)*(g**1)**(23/5) assuming g is positive. g**(-87/55) Simplify w**(-12)*w/w**(1/8) assuming w is positive. w**(-89/8) Simplify ((u/((u/u**(-2/3))/u)*u)/u)**(1/16) assuming u is positive. u**(1/48) Simplify (k/k**(-44/5))/k**(-2/147) assuming k is positive. k**(7213/735) Simplify (r**(2/7)*r*r)**(-17)/(r**2)**4 assuming r is positive. r**(-328/7) Simplify (u**(3/10)*u**(-9)*u)/(u**(-1/2)*u*u*u**(2/3)*u) assuming u is positive. u**(-163/15) Simplify (a**3/a**(-1/5))/(a*a/((a/(((a**0*a)/a)/a))/a))**(-11/3) assuming a is positive. a**(103/15) Simplify m**(-3/16)/m**(-32) assuming m is positive. m**(509/16) Simplify n**(-3/16)/n*n*n**(-2/11) assuming n is positive. n**(-65/176) Simplify (d**(-2/9)*d)/d*d**37 assuming d is positive. d**(331/
{ "pile_set_name": "DM Mathematics" }
What is 102 minutes before 6:23 PM? 4:41 PM What is 136 minutes before 8:18 PM? 6:02 PM What is 296 minutes before 9:27 PM? 4:31 PM What is 664 minutes before 11:50 AM? 12:46 AM What is 89 minutes before 2:43 PM? 1:14 PM What is 286 minutes before 10:14 AM? 5:28 AM How many minutes are there between 12:34 PM and 4:46 PM? 252 How many minutes are there between 11:20 AM and 11:47 AM? 27 What is 91 minutes after 3:28 AM? 4:59 AM How many minutes are there between 6:42 AM and 4:28 PM? 586 What is 517 minutes before 9:01 AM? 12:24 AM What is 12 minutes before 9:35 PM? 9:23 PM How many minutes are there between 9:45 PM and 2:38 AM? 293 How many minutes are there between 3:18 AM and 12:54 PM? 576 What is 52 minutes before 2:04 PM? 1:12 PM How many minutes are there between 4:25 PM and 9:46 PM? 321 What is 488 minutes after 9:11 PM? 5:19 AM How many minutes are there between 10:47 PM and 11:25 PM? 38 How many minutes are there between 4:38 AM and 9:55 AM? 317 What is 607 minutes after 7:59 AM? 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202 What is 503 minutes after 7:03 AM? 3:26 PM How many minutes are there between 11:25 PM and 7:38 AM? 493 What is 304 minutes before 8:23 PM? 3:19 PM What is 89 minutes after 6:20 AM? 7:49 AM How many minutes are there between 3:53 AM and 3:21 PM? 688 What is 583 minutes before 4:34 AM? 6:51 PM How many minutes are there between 5:25 PM and 12:49 AM? 444 What is 181 minutes before 12:53 PM? 9:52 AM What is 404 minutes after 3:29 PM? 10:13 PM What is 197 minutes before 5:57 AM? 2:40 AM What is 501 minutes before 1:54 AM? 5:33 PM How many minutes are there between 9:07 AM and 8:26 PM? 679 What is 244 minutes after 4:18 PM? 8:22 PM What is 237 minutes before 10:40 AM? 6:43 AM What is 92 minutes after 12:53 PM? 2:25 PM How many minutes are there between 4:45 PM and 7:17 PM? 152 How many minutes are there between 7:42 AM and 12:08 PM? 266 How many minutes are there between 7:20 AM and 4:56 PM? 576 What is 474 minutes after 8:05 PM? 3:59 AM How many minutes are there between 1:09 PM and 2:56 PM? 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231 How many min
{ "pile_set_name": "DM Mathematics" }
utes after 1:09 AM? 4:02 AM How many minutes are there between 9:52 AM and 10:04 AM? 12 How many minutes are there between 1:51 AM and 12:16 PM? 625 How many minutes are there between 7:26 AM and 11:26 AM? 240 How many minutes are there between 6:15 PM and 8:40 PM? 145 How many minutes are there between 10:24 AM and 11:15 AM? 51 What is 688 minutes after 9:12 AM? 8:40 PM How many minutes are there between 5:26 AM and 5:16 PM? 710 What is 204 minutes before 12:34 AM? 9:10 PM How many minutes are there between 5:12 PM and 9:38 PM? 266 How many minutes are there between 8:18 PM and 5:46 AM? 568 What is 51 minutes after 10:17 AM? 11:08 AM How many minutes are there between 10:45 PM and 7:29 AM? 524 How many minutes are there between 6:48 PM and 6:59 PM? 11 What is 682 minutes after 3:39 PM? 3:01 AM What is 27 minutes after 3:42 PM? 4:09 PM How many minutes are there between 7:51 PM and 6:19 AM? 628 How many minutes are there between 8:54 PM and 2:12 AM? 318 How many minutes are there between 1:59 AM and 6:42 AM? 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52 How many minutes are there between 9:27 AM and 2:29 PM? 302 How many minutes are there between 2:45 PM and 5:00 PM? 135 How many minutes are there between 2:27 AM and 3:02 AM? 35 What is 62 minutes after 12:58 AM? 2:00 AM How many minutes are there between 9:22 AM and 5:59 PM? 517 How many minutes are there between 6:49 PM and 9:45 PM? 176 How many minutes are there between 10:42 AM and 9:25 PM? 643 How many minutes are there between 2:26 AM and 3:16 AM? 50 How many minutes are there between 4:35 AM and 3:11 PM? 636 How many minutes are there between 7:52 PM and 6:57 AM? 665 How many minutes are there between 5:05 AM and 7:41 AM? 156 How many minutes are there between 6:04 PM and 8:42 PM? 158 What is 353 minutes after 6:07 PM? 12:00 AM What is 166 minutes before 10:46 PM? 8:00 PM What is 526 minutes after 10:21 PM? 7:07 AM What is 454 minutes before 3:05 AM? 7:31 PM How many minutes are there between 2:08 PM and 9:42 PM? 454 What is 264 minutes after 11:25 PM? 3:49 AM What is 320 minutes before 2:35 AM? 9:15 PM What is 325 minutes after 6:06 AM? 11:31 AM How many minutes are there between 7:20 PM and 10:49 PM? 209 What is 324 minutes after 6:48 PM? 12:12 AM What is 399 minutes after 9:12 AM? 3:51 PM How many minutes are there between 2:55 AM and 12:41 PM? 586 How many minutes are there between 6:37 PM and 6:57 PM? 20 How many minutes are there between 2:49 PM and 11:05 PM? 496 How many minutes are there between 11:44 PM and 6:40 AM? 416 What is 456 minutes before 7:40 AM? 12:04 AM How many minutes are there between 11:35 AM and 10:47 PM? 672 What is 709 minutes before 7:02 AM? 7:13 PM How many minutes are there between 4:46 AM and 8:52 AM? 246 What is 634 minutes after 5:15 AM? 3:49 PM How many minutes are there between 8:55 PM and 6:23 AM? 568 How many minutes are there between 10:29 PM and 8:39 AM? 610 What is 681 minutes before 10:38 AM? 11:17 PM What is 289 minutes before 7:16 AM? 2:27 AM How many minutes are there between 1:48 PM and 12:06 AM? 618 How many minutes are there between 6:48 PM and 7:15 PM? 27 What is 366 minutes after 5:56 PM? 12:02 AM What is 328 minutes after 6:01 AM? 11:29 AM What is 90 minutes after 12:53 AM? 2:23 AM How many minutes are there between 6:53 PM and 8:53 PM? 120 How many minutes are there between 10:45 PM and 12:40 AM? 115 What is 664 minutes before 10:29 AM? 11:25 PM How many minutes are there between 4:26 PM and 2:23 AM? 597 How many minutes are there between 1:09 AM and 4:33 AM? 204 How many minutes are there between 12:32 PM and 12:01 AM? 689 What is 400 minutes after 5:46 PM? 12:26 AM How many minutes are there between 1:58 PM and 3:28 PM? 90 How many minutes are there between 9:04 AM and 8:34 PM? 690 What is 27 minutes before 9:03 AM? 8:36 AM What is 126 minutes before 3:22 AM? 1:16 AM How many minutes are there between 1:27 PM and 9:37 PM? 490 What is 252 minutes after 10:44 PM? 2:56 AM How many minutes are there between 4:06 PM and 10:34 PM? 388 What is 141 minutes before 9:32 AM? 7:11 AM How many minutes are there between 1:20 PM and 2:11 PM? 51 How many minutes are there between 12:18 AM and 4:24 AM? 246 What is 27 minutes before 3:09 PM? 2:42 PM How many minutes are there between 6:24 AM and 2:52 PM? 508 What is 444 minutes before 12:04 PM? 4:40 AM What is 597 minutes before 11:17 PM? 1:20 PM How many minutes are there between 10:30 PM and 4:37 AM? 367 How many minutes are there between 4:02 PM and 11:01 PM? 419 What is 324 minutes before 8:40 PM? 3:16 PM How many minutes are there between 8:55 AM and 10:50 AM? 115 How many minutes are there between 5:35 PM and 1:48 AM? 493 How many minutes are there between 9:20 PM and 6:56 AM? 576 What is 255 minutes after 8:40 PM? 12:55 AM How many minutes are there between 3:30 AM and 4:32 AM? 62 What is 236 minutes before 4:51 AM? 12:55 AM What is 458 minutes before 5:27 AM? 9:49 PM How many minutes are there between 10:59 AM and 5:44 PM? 405 What is 291 minutes before 9:20 AM? 4:29 AM How many minutes are there between 4:49 PM and 12:13 AM? 444 How many minutes are there between 8:43 PM and 11:22 PM? 159 How many minutes
{ "pile_set_name": "DM Mathematics" }
eter? 120 How many millilitres are there in 5/8 of a litre? 625 How many months are there in seventeen sixths of a decade? 340 Convert 940535.2ng to grams. 0.0009405352 How many millilitres are there in five quarters of a litre? 1250 How many years are there in fifty-seven fifths of a millennium? 11400 What is 27/2 of a year in months? 162 How many grams are there in 7/8 of a kilogram? 875 What is 798666.1ng in milligrams? 0.7986661 Convert 23167.43 decades to centuries. 2316.743 How many meters are there in 77.7424mm? 0.0777424 Convert 6.450311 millennia to months. 77403.732 Convert 9877.601l to millilitres. 9877601 What is fifty-three fifths of a second in milliseconds? 10600 How many milliseconds are there in 879.9196us? 0.8799196 Convert 40.63536 months to centuries. 0.0338628 What is one tenth of a tonne in grams? 100000 What is 457.7006 centuries in years? 45770.06 What is 6/5 of a meter in centimeters? 120 What is 57.29831 milliseconds in nanoseconds? 57298310 What is 54/5 of a millennium in years? 10800 How many hours are there in seven sixths of a week? 196 How many litres are there in 0.1393083 millilitres? 0.0001393083 What is 56.55887 years in centuries? 0.5655887 What is 3/10 of a litre in millilitres? 300 Convert 79408.53mm to micrometers. 79408530 What is 3/50 of a kilogram in milligrams? 60000 How many litres are there in 625.8352ml? 0.6258352 How many months are there in 1/4 of a year? 3 What is 447.9837 years in centuries? 4.479837 Convert 42510.67 micrograms to tonnes. 0.00000004251067 Convert 682.6882 millilitres to litres. 0.6826882 Convert 596526.7 decades to years. 5965267 How many months are there in seventeen sixths of a year? 34 Convert 35.31447 weeks to days. 247.20129 How many years are there in 25/2 of a century? 1250 How many nanograms are there in seventy-seven fifths of a microgram? 15400 How many millilitres are there in 472.8573 litres? 472857.3 How many milliseconds are there in 1/20 of a second? 50 What is three tenths of a kilogram in grams? 300 How many millilitres are there in 5/4 of a litre? 1250 What is thirteen quarters of a kilogram in grams? 3250 How many litres are there in 1.767384 millilitres? 0.001767384 How many millilitres are there in seventeen quarters of a litre? 4250 What is 34063.4l in millilitres? 34063400 What is 53/4 of a year in months? 159 How many millilitres are there in 1/10 of a litre? 100 How many millilitres are there in 8.45713 litres? 8457.13 Convert 8.25821ml to litres. 0.00825821 How many grams are there in 3/40 of a tonne? 75000 What is 1508.236 millennia in months? 18098832 What is three tenths of a millimeter in micrometers? 300 What is 1/4 of a litre in millilitres? 250 Convert 342924.3ug to nanograms. 342924300 How many tonnes are there in 39695.21 grams? 0.03969521 How many milligrams are there in nine tenths of a gram? 900 Convert 41945.34ml to litres. 41.94534 How many centimeters are there in 0.3567064 millimeters? 0.03567064 What is 18499.42 millimeters in micrometers? 18499420 What is 18/5 of a centimeter in millimeters? 36 What is 37/2 of a millennium in centuries? 185 How many minutes are there in 21/5 of a day? 6048 How many micrometers are there in 17/4 of a centimeter? 42500 How many millilitres are there in 3/5 of a litre? 600 Convert 22.56312 micrograms to nanograms. 22563.12 How many years are there in 433.2353 decades? 4332.353 How many hours are there in 1/4 of a day? 6 What is 4736.538 microseconds in milliseconds? 4.736538 How many months are there in twenty-one halves of a decade? 1260 What is 25/4 of a millennium in months? 75000 What is 2545526.4 nanoseconds in minutes? 0.00004242544 How many nanograms are there in 25/4 of a microgram? 6250 What is nineteen quarters of a day in hours? 114 What is one tenth of a kilogram in milligrams? 100000 What is 41/2 of a millimeter in micrometers? 20500 What is 3/32 of a gram in micrograms? 93750 How many weeks are there in 6904.345 days? 986.335 How many microseconds are there in one quarter of a millisecond? 250 How many months are there in one fifth of a millennium? 2400 What is twenty-five eighths of a litre in millilitres? 3125 What is 78.28829cm in meters? 0.7828829 Convert 53.27246 nanoseconds to seconds. 0.00000005327246 How many nanoseconds are there in 92462.45 hours? 332864820000000000 Convert 651498.6 centuries to years. 65149860 Convert 1680.702g to kilograms. 1.680702 What is 53833.38 days in seconds? 4651204032 Convert 3667.119 decades to millennia. 36.67119 How many millilitres are there in thirteen fifths of a litre? 2600 How many millilitres are there in 27/4 of a litre? 6750 How many minutes are there in 7/6 of a week? 11760 What is 0.611719mg in grams? 0.000611719 Convert 22.67731ml to litres. 0.02267731 Convert 13364.06 milliseconds to nanoseconds. 13364060000 What is nineteen quarters of a litre in millilitres? 4750 What is 43740.864ns in days? 0.00000000050626 What is 31/2 of a milligram in micrograms? 15500 How many kilograms are there in fourty-nine fifths of a tonne? 9800 Convert 0.866244 milligrams to kilograms. 0.000000866244 How many nanograms are there in thirty-one halves of a microgram? 15500 What is 31/6 of a week in minutes? 52080 How many millilitres are there in three fifths of a litre? 600 How many millilitres are there in 8/25 of a litre? 320 How many months are there in six fifths of a decade? 144 Convert 193.6504 litres to millilitres. 193650.4 How many decades are there in 2092578.6 months? 17438.155 What is five eighths of a millimeter in micrometers? 625 How many nanoseconds are there in 0.0341834 seconds? 34183400 What is seven halves of a millennium in years? 3500 What is 8.760117 nanoseconds in milliseconds? 0.000008760117 What is 43/2 of a microgram in nanograms? 21500 What is thirty-one fifths of a tonne in kilograms? 6200 How many millennia are there in 0.9784908 months? 0.0000815409 What is 15/4 of a second in milliseconds? 3750 Convert 599323.41 minutes to weeks. 59.4566875 What is 9.301638 litres in millilitres? 9301.638 How many weeks are there in 1366.696233 nanoseconds? 0.0000000000022597490625 How many grams are there in 12/25 of a kilogram? 480 What is 29.17504ng in milligrams? 0.00002917504 How many micrograms are there in 0.6438633 milligrams? 643.8633 Convert 2295.707 centuries to millennia. 229.5707 What is six fifths of a microgram in nanograms? 1200 Convert 85.65868 weeks to seconds. 51806369.664 Convert 0.1730368 millimeters to micrometers. 173.0368 What is 7/8 of a hour in seconds? 3150 How many nanometers are there in 12/25 of a micrometer? 480 How many millimeters are there in fourty-four fifths of a centimeter? 88 What is 11/2 of a millennium in centuries? 55 How many millilitres are there in 3/10 of a litre? 300 How many litres are there in 0.7407128ml? 0.0007407128 How many months are there in 3/8 of a decade? 45 Convert 4619.496kg to grams. 4619496 What is 8/25 of a centimeter in micrometers? 3200 How many minutes are there in twenty-seven halves of a day? 19440 How many minutes are there in 2/9 of a week? 2240 How many millilitres are there in 7/8 of a litre? 875 Convert 0.036156kg to grams. 36.156 What is twenty-one fifths of a century in years? 420 What is 1/4 of a century in months? 300 What is 6/25 of a litre in millilitres? 240 How many milliseconds are there in 0.002064 nanoseconds? 0.000000002064 Convert 0.2654038 litres to millilitres. 265.4038 How many nanograms are there in 933.6408t? 933640800000000000 How many meters are there in 37/5 of a kilometer? 7400 How many tonnes are there in 0.5842692ng? 0.0000000000000005842692 What is 3/5 of a kilometer in centimeters? 60000 What is nineteen quarters of a minute in seconds? 285 What is seven eighths of a litre in millilitres? 875 What is fifty-one halves of a century in months? 30600 How many grams are there in 222496.5kg? 222496500 What is thirty-one halves of a century in decades? 155 Convert 2506468.8 months to years. 208872.4 What is 45/4 of a year in months? 135 How many millilitres are there in one fifth of a litre? 200 How many millilitres are there in eleven quarters of a litre? 2750 What is 384897.3mg in tonnes? 0.0003848973 How many nanograms are there in 3/50 of a micr
{ "pile_set_name": "DM Mathematics" }
) -0.9 (c) 4 (d) 0.2 a What is the second smallest value in 3/8, 0.12, -1/6, -2/11? -1/6 Which is the biggest value? (a) 0 (b) 5 (c) 14/3 (d) 13 d Which is the biggest value? (a) 17 (b) -0.3 (c) 4 (d) 2/43 a Which is the third biggest value? (a) -3 (b) -1 (c) -0.5 a Which is the second smallest value? (a) 0.04 (b) 685 (c) -5 a Which is the biggest value? (a) -0.2 (b) 9 (c) 1 b Which is the second biggest value? (a) -0.06 (b) -4/5 (c) 6 (d) 4 d Which is the third biggest value? (a) -5 (b) -3 (c) 22 (d) -1/4 b What is the third biggest value in -2/799, -68, -2? -68 Which is the biggest value? (a) 80 (b) 3/7 (c) -0.6 a What is the second smallest value in 10, 60, 2, -0.1? 2 Which is the third smallest value? (a) 3 (b) 80 (c) 5 (d) 2 (e) 0.3 a Which is the smallest value? (a) 2/9 (b) 5 (c) 3/4 (d) 0.4 a What is the biggest value in 89, 1, -0.1? 89 Which is the second smallest value? (a) -1.4 (b) -0.3 (c) 0 b What is the second smallest value in -0.1, -0.2, -90, 1? -0.2 Which is the fifth smallest value? (a) -1/9 (b) 9/2 (c) 0.09 (d) 1/10 (e) 0.4 b Which is the biggest value? (a) 1/7 (b) 2/9 (c) 1 (d) -4 c Which is the fourth biggest value? (a) 2/5 (b) -0.5 (c) -3 (d) 74 c Which is the third biggest value? (a) 5 (b) -99 (c) -0.4 b What is the second biggest value in 38, -3, -2/9? -2/9 What is the smallest value in -5/7, -1, 2, -1/3? -1 Which is the second smallest value? (a) -216 (b) -2/9 (c) -4 c Which is the fourth smallest value? (a) -3 (b) -0.2 (c) -10/89 (d) -2/3 c Which is the smallest value? (a) 2/13 (b) 2 (c) -0.039 c Which is the second smallest value? (a) 6 (b) 1/5 (c) -3 (d) -5 c What is the fourth biggest value in -33/5, -3/2, 1, -2/19? -33/5 Which is the second biggest value? (a) -0.3 (b) -10 (c) 2 a Which is the third smallest value? (a) 2/15 (b) -0.3 (c) -2/5 (d) 1/5 a What is the smallest value in 2/5, 36/5, -1, 1? -1 What is the third biggest value in 33, -1, 2? -1 What is the fourth smallest value in -3/5, 11, 3, 8? 11 Which is the third smallest value? (a) 6 (b) 4 (c) 2/11 a What is the third biggest value in -0.1, 5, -1/5, -0.028? -0.1 What is the fourth biggest value in 1/6, -0.2, -6, 12? -6 What is the biggest value in -144, 2/11, -3, -1? 2/11 Which is the third smallest value? (a) -5 (b) -0.4 (c) 2/5 (d) -2/27 (e) 5 d What is the fourth smallest value in 9, 0, -2, -5? 9 Which is the third biggest value? (a) -5 (b) 19 (c) -2 a Which is the third biggest value? (a) 1 (b) 2/3 (c) 0.24 c What is the fourth smallest value in -7, 4, 1/5, -0.3? 4 What is the second smallest value in 5, 0.05, 9/5, -5? 0.05 Which is the third smallest value? (a) -1 (b) -5/2 (c) 29 c Which is the second smallest value? (a) 17 (b) 2/7 (c) 2 (d) -4 b Which is the third biggest value? (a) 2/15 (b) 70 (c) 0 c What is the smallest value in -2/11, 56/15, 3? -2/11 What is the second biggest value in -1/2, 0.3, 1/4, -921? 1/4 Which is the third biggest value? (a) -5 (b) -1/2 (c) 279 a What is the smallest value in -37, 0.05, -5? -37 What is the biggest value in -0.1, 0.2, 2/9, -2/5? 2/9 What is the biggest value in 8, 0.14, -2/11? 8 Which is the second smallest value? (a) -16/7 (b) -0.4 (c) 1 (d) 4 b What is the fifth biggest value in 5, -105, -1/6, -4/7, -4? -105 What is the second smallest value in 212, 0.5, 4/9? 0.5 What is the second biggest value in -240, -1, 3? -1 What is the third biggest value in 0.05, 1, -0.163? -0.163 What is the third biggest value in 3, -1/8, -10, -0.3? -0.3 What is the fourth smallest value in 2/17, 5, 1, -8/7, 2/7? 1 What is the third smallest value in 4, -2, -1/11, 5? 4 What is the second biggest value in 0, 55/6, -6/17, -2? 0 Which is the second biggest value? (a) -0.5 (b) -5 (c) 8.7 (d) -4/7 a What is the second biggest value in -5, 1/3, 1/6, 0.088? 1/6 Which is the biggest value? (a) 5 (b) -1/3 (c) -0.3 (d) -0.5 a What is the fourth smallest value in -4/3, -4, 4, -0.8? 4 Which is the fifth smallest value? (a) 8 (b) 5/6 (c) 0.5 (d) 1/3 (e) 2/11 a Which is the second smallest value? (a) 3/5 (b) 0.034 (c) -2 (d) -0.5 d Which is the fourth smallest value? (a) 4 (b) 1/4 (c) -0.23 (d) 0.2 (e) 2/11 b Which is the biggest value? (a) 54 (b) 3 (c) -5 a Which is the smallest value? (a) 6/5 (b) -9 (c) 0.4 (d) 4/5 (e) 2/21 b What is the smallest value in -0.1, -22, 0.3? -22 Which is the second biggest value? (a) 0.07 (b) 2/9 (c) 2 (d) 0 b What is the biggest value in 0.4, -0.47, 0.2, -0.03? 0.4 What is the fourth biggest value in -2, -1, 6.1, 1, -2/11? -1 What is the second smallest value in 4/499, 2/3, -0.2, 0.1? 4/499 What is the second biggest value in 0.4, -1/6, 4? 0.4 What is the fifth biggest value in 36, -1, 0.1, 1/7, -28? -28 Which is the second smallest value? (a) 1/4 (b) -2/5 (c) 2/7 (d) -0.2 d What is the second biggest value in -0.9, -0.3, -3/7, -3? -3/7 What is the fifth smallest value in -3, 0.3, 0, -288, -5? 0.3 What is the smallest value in -0.3, 0.4, 0.5, -1? -1 Which is the second biggest value? (a) 5 (b) 3.8 (c) 4 c Which is the smallest value? (a) 3/4 (b) -5 (c) 2/5 (d) 20 b What is the smallest value in 1/4, -0.1, -0.5, -0.2? -0.5 Which is the biggest value? (a) -1/383 (b) 4 (c) 6 c Which is the second biggest value? (a) -30 (b) -2/7 (c) -639 a Which is the third biggest value? (a) -2/51 (b) -1 (c) -3 (d) 2 b Which is the third biggest value? (a) 0.2 (b) -1 (c) -152 c Which is the third smallest value? (a) -8/33 (b) 4 (c) 2 b Which is the third biggest value? (a) 4 (b) -4 (c) -1 (d) 7 c Which is the third biggest value? (a) -0.2 (b) 0.03 (c) -295.2 c Which is the third biggest value? (a) -73 (b) -4 (c) 2 (d) -0.13 b Which is the third biggest value? (a) 3/8 (b) 0.083 (c) -1/2 c Which is the second smallest value? (a) 3/2 (b) -0.5 (c) 1.88 (d) 0 d Which is the second biggest value? (a) 0.2 (b) -444 (c) 2 a What is the fourth biggest value in -2, 0.23, -11/3, 2? -11/3 What is the second smallest value in 5, 0.13, -1, -4? -1 What is the smallest value in -5, -0.5, -0.1, -10? -10 What is the second biggest value in 2, -0.27, 10? 2 Which is the second smallest value? (a) -1530 (b) 2 (c) -1/6 (d) -4 d What is the third smallest value in -1, -1/2, -5, -62.9? -1 Which is the third smallest value? (a) -0.1 (b) 68 (c) 0.4 (d) 2/7 c What is the third biggest value in -4/7, 0, 24, 4, 3/2? 3/2 What is the fourth smallest value in -3/7, -5, -4, 1/2, 9? 1/2 What is the third smallest value in 2353, -0.4, 0.2? 2353 Which is the third smallest value? (a) 7 (b) -2/17 (c) 4 (d) -0.9 c Which is the third smallest value? (a) -1/3 (b) -3 (c) 0.04 c What is the second smallest value in -0.3, -0.11, -0.06? -0.11 What is the second biggest value in -2/9, 11, -0.4? -2/9 What is the third biggest value in 5, 8, 230? 5 Which is the biggest value? (a) 0 (b) 0.7 (c) -0.3 (d) -3 b Which is the fourth smallest value? (a) -3 (b) 3 (c) 628 (d) -2/7 (e) 5 e Which is the third smallest value? (a) 2/9 (b) -1 (c) 1/131 a Which is the biggest value? (a) -1 (b) 2/119 (c) -0.2 (d) 1/4 d What is the second biggest value in -1, 2, -2/5, 13? 2 Which is the third smallest value? (a) -2/15 (b) 1/3 (c) 1623 c What is the third biggest value in 17, -3, -0.4, -2/13, -5? -0.4 What is the second biggest value in -5, -13, 10, 0? 0 Which is the third smallest value? (a) -190 (b) 2 (c) -3 b What is the smallest value in -9, 0.1, -132, 5? -132 What is the smallest value in 0.4, 0.45, 1/4? 1/4 Which is the second smallest value? (a) -2/9 (b) 114 (c) 3/4 c Which is the third smallest value? (a) 1 (b) 0.06 (c) -0.2 (d) 2 a Which is the second smallest value? (a) -4 (b) 6 (c) -46 (d) 0 a Which is the biggest value? (a) 0 (b) -4 (c) -23.9 a Which is the third smallest value? (a) -0.3 (b) 5 (c) 0 (d) 3/62 d What is the second smallest value in -35, -3, 1, -1, 5? -3 What is the third biggest value in -1, 5, -0.52? -1 What is the second smallest value in 0, 261, 0.5? 0.5 What is the biggest value in 1, -5/2, -0.2, 4/21, 0.3? 1 Which is the biggest value? (a) -2/9 (b) 1.6 (c) -0.2 (d) -2.2 b Which is the biggest value? (a) -2/9
{ "pile_set_name": "DM Mathematics" }
20 for y. -4 Solve 4*h = 3*o + 7 - 27, 5*h + 3*o = 2 for h. -2 Solve -r = -561*s + 559*s - 3, r + s + 3 = 0 for r. -1 Solve -g + 3*n + 4 - 10 = 0, 2*n = g + 4 for g. 0 Solve 126*g - 4 = 123*g + 2*b, -5*b = 2*g + 10 for g. 0 Solve -3*c - 15 = 3*o, -c = -4*o + 11 - 26 for c. -1 Solve 7 = -3*k - z + 9, 0 = -4*z - 4 for k. 1 Solve -5*s - 5*d + 15 = 0, -s - 4*s - 4*d + 10 = 0 for s. -2 Solve 5*t + 1 = -2*v - 10, -4*v = 4*t + 4 for t. -3 Solve 2*g + 11 = -0*g - l, -3*g + 5*l = 10 for g. -5 Solve 0 = -0*b - 5*b - w + 13, -4*b - 3*w + 17 = 0 for b. 2 Solve 0 = 4*l - 3*n - 5 - 6, -n = -2*l + 7 for l. 5 Solve -j + 3*g - 11 = 0, -2*g = -5*j - 0*g + 10 for j. 4 Solve -6*p - 23 = 2*w - p, 4*p + 17 = -3*w for w. 1 Solve 5*m + n - 12 - 10 = 0, 2*n = m for m. 4 Solve 2*l = -10, 4*p - 5*l = -10*l - 5 for p. 5 Solve 2*c - 1 = 59*p - 64*p, 5*p + 11 = 2*c for c. 3 Solve 0 = -y - 5*c - 15, 0 = -3*c + 6*c + 6 for y. -5 Solve -h - 5*k = 18, -k - 2 - 2 = 0 for h. 2 Solve u - r - 19 + 12 = 0, 0 = 4*u - 2*r - 24 for u. 5 Solve 4*t - 5 = -3*w, 2*t = -0*t + 10 for w. -5 Solve 3*s + 9 = -3*r, -5*r + 23*s - 36 = 21*s for r. -6 Solve 5*l + 4*d + 6 = 20, d = l - 1 for l. 2 Solve 17 = -2*r - 5*u - 16, -2*u = 2*r + 18 for r. -4 Solve 13*a + 7 = 12*a - 4*u, -17 = 4*a + 5*u for a. -3 Solve 27*h - 25*h + 12 = -2*g, -2*h - 13 = 3*g for g. -1 Solve 5*t - 4*i = -23, -7 - 15 = 4*t - 5*i for t. -3 Solve -4*t - 5*p - 21 = 0, 2*t - p + 6 = p for t. -4 Solve 0 = -g - o + 1, -31 = 4*g + 70*o - 73*o for g. -4 Solve 32 = 3*v - 8*u + 4*u, 3*v + 3*u + 3 = 0 for v. 4 Solve -3*z - 67 + 64 = 0, 2 = -l + z for l. -3 Solve -2*s + 5*o + 14 = 0, -s - 2*o = -4*o - 6 for s. 2 Solve -8*q + 3*q + 3*o = 25, -3*q - 15 = 3*o for q. -5 Solve l - 19*b + 14*b - 16 = 0, 0 = -b - 3 for l. 1 Solve 5*r - 3*k = -15, -4*r = 5*k - 10*k + 12 for r. -3 Solve 19 = -3*q - 5*a, 2*q + 33*a - 34*a = -4 for q. -3 Solve 5*l = 4*c + 35, -3*l = 2*c + 4 - 3 for c. -5 Solve -a + 5*c = -11, -5*a + 5*c = -6 + 11 for a. -4 Solve -4*j = -23*h + 24*h + 16, -4*j = -h + 24 for h. 4 Solve -5*c + 0*c - 25 = -v, 0 = 2*v for c. -5 Solve -14 = -3*w - 4*o, 4 = w - 2*o + 16 for w. -2 Solve 0 = -0*s + 3*s + 3*o, 12 = -2*s + 2*o for s. -3 Solve 5*h - 31 = 2*n, 2*h + 2*n = -3 + 7 for h. 5 Solve -4*s - 8 = -t, 5*s = -11 + 1 for t. 0 Solve 0 = -42*q + 37*q + o - 15, -4*o = 4*q + 12 for q. -3 Solve -10 = -5*r - 3*k, 6*k + 25 = 4*r + 5*k for r. 5 Solve 3*x + 11 = s, 6 - 2 = 2*s for x. -3 Solve w - 8 = 5*w + 3*c, c + 1 = -3*w for w. 1 Solve -4*a - 4 = 4*t, -4*t - 2*a = 30 - 26 for t. -1 Solve 0 = 2*q - 4*f, -16 = -3*q + 3*f - 5*f for q. 4 Solve -5*k = 5*d - 10 - 15, 0 = -3*k + 2*d + 5 for k. 3 Solve -3*r + 3*h = -12, -5*r - 5*h + 20 = -9*h for r. 4 Solve 0 = 5*d - 3*r + 18, 0*r = -2*r + 2 for d. -3 Solve 29 = 3*p - 5*b, -4*p + 2*b - 1 = -7*p for p. 3 Solve 4*d - 9 = d - o, 4*d = -3*o + 12 for d. 3 Solve -m + 4*a = 11, -3*m = 2*m - 5*a - 5 for m. 5 Solve c - 3*c - 2*n = -2, -5*c = 3*n - 3 for c. 0 Solve -3 = g - 3*a, -2*g + 7 - 2 = 5*a for g. 0 Solve 4*x = -m + 6*x - 7, 3*m - 45 = -5*x for m. 5 Solve g - 2*u = u - 1, -u + 2 = 0 for g. 5 Solve -3*i + 3*p - 21 - 6 = 0, 4*p = 20 for i. -4 Solve -2*b - 12 = b, -3*b = 5*n + 22 for n. -2 Solve -2 + 3 = i - 4*s, 3*s = i for i. -3 Solve 4*j - 35*t + 22 = -37*t, 30 = -5*j - 3*t for j. -3 Solve -22*d - 3*u = -25*d - 9, -15 = 5*d - 3*u for d. -3 Solve 3*q + 9 = -5*h, 7*h - 3*h = -0*h for q. -3 Solve 2*u + 4 = -2*l + 6, -2*u + 5*l + 23 = 0 for u. 4 Solve -4*y = g + 4 - 8, 0 = -2*g - 2*y + 8 for g. 4 Solve 0*f = -4*f + 5*t - 21, -t = -f - 4 for f. 1 Solve -4*m - 5*k - 6 = 0, 23*k = m + 25*k for m. -4 Solve -7*d - 10 = 5*b - 2*d, 0 = b + 5*d + 10 for b. 0 Solve k - 2*i - 5 = 0, -k + 3*k = i + 1 for k. -1 Solve -5*o = -19 - 1, 4*o - 7 = 3*s for s. 3 Solve -10*h = -5*h + 2*j - 28, -16 = -4*j for h. 4 Solve -2*n - 4 = -2*o, 20*o - 4 = 17*o + 4*n for o. 4 Solve -2*d + 2*p - 4 = 0, 0 = 2*d - 4*p + 4 + 8 for d. 2 Solve -2*k = z + 3, 131*k - 126*k + 14 = 4*z for z. 1 Solve -5*k + 15 = -5*s, 20*s = 3*k + 25*s + 7 for k. 1 Solve 2*o - 4*c - 16 = 5*o, -16 = 4*c for o. 0 Solve -3*r - 27 = 2*s + 2*s, -5*s - 5 = -2*r for r. -5 Solve n = 4*n - 4*p - 7, 2*n = 5*p + 14 for n. -3 Solve -5*t = 4*x - 6, -2*x + 2 = -6 for t. -2 Solve 14*m + 2 = -3*a + 12*m, 2*a = -2*m for a. -2 Solve 0 - 5 = 5*c + 5*u, 4*c = -2*u for c. 1 Solve -6*y + y - t = 14, 0 = 5*y + 5*t + 30 for y. -2 Solve -u + 4*w + 15 = 0, -2*u - 6 = 6*w - 2*w for u. 3 Solve -5*o + 4*a = -16, -3*o + 23 - 7 = 4*a for o. 4 Solve -6*a + 4*a + 10 = 0, 0 = -5*p + 2*a - 10 for p. 0 Solve -q = -3*r + 5, -r + 9 = -9*q + 5*q for r. 1 Solve -14*l + 17*l - 6 = -2*w, 5*w = 2*l - 4 for w. 0 Solve -k + 2 = 4*z + 10, -2*k + z + 11 = 0 for k. 4 Solve 2*i + 2*f = -3*i - 31, f = 3*i + 12 for i. -5 Solve -4*s + 12 = -2*d, 4*s = 4*d + 5 - 1 for d. 4 Solve 5*t = -3*i + 22, -6 + 4 = 3*t - 2*i for t. 2 Solve 2*h + 0 = -2*o + 6, 4*h - 12 = 4*o for o. 0 Solve -5*n = 5*y - 10, 4*y - 16 = n + 7 for y. 5 Solve 64*j - 63*j - 2*m = 2, 0 = 5*j - m + 17 for j. -4 Solve -5*a - 10*r - 22 = -8*r, a + 2*r = -6 for a. -4 Solve 3*t + 12 = -3*c, -44*t = -46*t + 4*c + 22 for t. 1 Solve 0 = 4*g + q, q + 16 = 5*q for g. -1 Solve -3*n = -2*b + 4, -4*n - 20 + 8 = -b for b. -4 Solve x + 22 = -t + 6*x, -t = -x + 6 for t. -2 Solve 26*h - 21*h = 4*q + 36, 0 = -5*q - 3*h - 8 for q. -4 Solve 13 = -3*v + 4*t, -5*v = -6*v + 4*t - 15 for v. 1 Solve 0 = 2*v - 3*a - 12, -5*v + 3*a = -10*v - 12 for v. 0 Solve -4*x + 20 = 0, 5*v - 15 = -x - 0*x for v. 2 Solve -2*r = 5*j - r - 7, 4*j + 5*r = 14 for j. 1 Solve 1 - 46 = 5*h - 5*u, -u = -3*h - 19 for h. -5 Solve -37*k = d - 38*k + 1, 0 = -4*d - 4*k - 20 for d. -3 Solve -2*q = -10, -r - 4*q - 24 = -8*q for r. -4 Solve -4*a = -c + 8, -9*c - 3*a = -4*c - 17 for c. 4 Solve -3*g - 18 = 5*p, 12*p = -3*g + 13*p - 18 for g. -6 Solve 3*y + 5*r + 29 = 0, -4*y - 8 = -r - 0 for y. -3 Solve 0 = -0*p - 5*p - 25, 0 = 2*z + 2*p + 14 for z. -2 Solve 0*j + 2*j + b + 4 = 0, -5*j - 11 = 3*b for j. -1 Solve 5*f - 10*w + 31 = -12*w, -3*w - 24 = 3*f for f. -5 Solve -3*h + 2*k + 0 = 12, 19 = -5*h + 3*k for h. -2 Solve 5*v = 3*l + 31, 5*l + 14 + 11 = 3*v for l. -2 Solve -d = 5*f + 4, -f + 4*d + 51 = 35 for f. 0 Solve -r + 5*x = 24, 3*r - 13 = -11*x + 9*x for r. 1 Solve 0*l - 3*l = 5*c - 13, -4*l = c + 11 for l. -4 Solve 0 = -4*n - 2*w + 14, -4*n + w = -3*w + 4 for n. 2 Solve -3*w = 4*k - 7, -4*k + 2 = -2*w - 5*k for w. -3 Solve -4*z - 8 = 4*s, -298*s - 2 = -2*z - 294*s for z. -1 Solve 8*q - 21 = -4*r + 11*q, -3*r - 2*q = -3 for r. 3 Solve 3*d - 5*o + 34 = 0, 0 = 4*d - o + 24 - 7 for d. -3 Solve 3*m + 12 = -m, -h + m + 3 = 0 for h. 0 Solve -2*p = -62*h + 64*h + 8, -3*p = -2*h + 2 for h. -2 Solve 3*h = 4*w - 35, 0 = 2*w + 3*h + 4 + 1 for w. 5 Solve 2*l = -4*s, 5*l = 5*s - 8*s - 14 for s. 2 Solve 4*o - 200 = -184, k + 4*o = 13 for k. -3 Solve -3*i - 428*h = -429*h - 2, -4*i - 5*h = -9 for i. 1 Solve -18 = 2*t - 28, 5*s - 5*t + 30 = 0 for s. -1 Solve g = -3*s + 2*s - 8, 0 = -3*g + 4*s - 3 for g. -5 Solve 0*s = -2*z + 4*s + 18, -3*z - 4*s + 7 = 0 for z. 5 Solve -5*a - b - 21 = -1, -16 = 4*a + b for a. -4 Solve 2*j = -6, -7*j - 6 = 3*b - 9*j for b. -4 Solve h + 10 = -o + 4*h, -20 = 3*o - 4*h for o. -4 Solve 0 = q + 5*m + 9, 26*q - 5*m - 14 = 22*q for q. 1 Solve 3*z - 5 = -2*n, 0 = -2*z + 220*n - 222*n for z. 5 Solve -n + 5*s = n - 28, 0 = -5*n + s + 24 for n. 4 Solve 0 = -f + 5, -19 = 5*h + 5*f - 24 for h. -4 Solve 0 = 4*v + w + 4 + 1, w + 4 = -3*v for v. -1 Solve 4*a - 15 = -4*v - 7, 4*v = 12 for a. -1 Solve 0 = -3*j + 3*h - 27, -59*j = -61*j - h - 6 for j. -5 Solve -21*h + 28 = -25*h - 5*d, 12 = -4*h - d for h. -2 Solve 0 = -2*f, 4*m + 4*f + 8 = -f for m. -2 Solve 4*f + 26 = -3*i, 14 = 2*f - 4*f - 2*i for f. -5 Solve 15*l = -3*r + 19*l + 14, 5*r - 3*l = 16 for r. 2 Solve 4*l + 5*m = 12, -4*l + 3*m = 4*m - 12 for l. 3 Solve 0 = 4*v + 2*h - 4*h - 14, 3*v - 8 = 4*h for v. 4 Solve -3*l - 5 - 12 = -o, -3*o + 4*l + 31 = 0 for o. 5 Solve 0 = -l + i + 1, -l - 7 = -4*l - i for l. 2 Solve 0 = -4*r + 2*r - 4*k, 0 = -4*k + 8 for r. -4 Solve -16*i = -17*i - u + 1, 0 = -3*i - 2*u + 1 for i. -1 Solve 5*p = 3*i - 2 - 11, -2*p = 2*i + 2 for p. -2 Solve 0 = -k - 6*v + 3*v - 10, -2*k - 14 = 3*v for k. -4 Solve -6*j - k - 7 = -
{ "pile_set_name": "DM Mathematics" }
3*i - i)*(2*i**4 - 2*i**4 - 2*i**4) + (-5*i**5 + 4*i**5 + 5*i**5)*(1 - 7 + 4). -6*i**5 Expand (-4*d**5 + 3*d**5 - d**5)*(13 - 12 + 11 + 0 - 2 + 0 + (-2 + 2 + 1)*(4 + 1 - 3)) - 4*d - d**5 + 4*d. -25*d**5 Expand (-30*r**4 + 42*r - 42*r)*(-r + 4*r - r). -60*r**5 Expand -l**4 - 2*l**4 + l**4 + (-5 - 2 + 5)*(-4 + 5 + 1)*(l**4 - 2*l + 2*l). -6*l**4 Expand (4*v - v - 2*v)*(5*v - 6*v**3 - 5*v). -6*v**4 Expand (-5 + 5 + h)*(h**2 - h**2 - h**4) - 2*h**5 + 4*h**5 + 0*h**5 + 4*h**5 + 0*h**5 - 2*h**5 + h**4 - 2*h**5 - h**4 + (-2*h**5 + 3*h**5 + h**5)*(2 + 0 + 0). 5*h**5 Expand (3*j - 3*j + 2*j + (1 - 2 - 3)*(-1 + 1 + 3*j))*(j**2 + 2*j**2 - 2*j**2). -10*j**3 Expand (-2*f + f + 3*f)*(16 - 16 - 3*f)*(6 - 2 - 2). -12*f**2 Expand (-3 - 1 - 8)*(3*g**2 - 7*g**2 + 3*g**2). 12*g**2 Expand (4 - 4 + l)*(6 - 10 - 8). -12*l Expand (-3 - j + 3)*(-29 - 10 - 2). 41*j Expand 6*l**3 - 4*l**3 - l**3 - l**3 - 1 + 1 + l**3 + 3*l**3 + l**3 + 5*l**3 - 4*l**3 - 3*l**3 + (2*l**2 - 4*l**2 + 0*l**2)*(3*l + 2*l - 3*l). -l**3 Expand (3 + 3 + 0)*(5 - 1 - 3)*(-z**2 - 3*z**2 + 3*z**2)*(-2 - 4 + 3). 18*z**2 Expand (-174 + 93 + 149)*(4*j - 4*j - 2*j)*(-1 - j + 1). 136*j**2 Expand (0*h**3 + 0*h**3 + h**4)*(0 + 0 + h)*(21 - 7 - 17). -3*h**5 Expand -2*j**4 - 4*j**3 + j**3 + 6*j**3 + (2*j**3 + 4*j**3 - 5*j**3)*(-1 + 1 + j) + 7*j**3 - 7*j**3 + 3*j**4. 2*j**4 + 3*j**3 Expand (-l**4 - l**4 + l**4)*((-l + 2*l + l)*(0 + 5 - 3) - 2 + 2*l + 2). -6*l**5 Expand (-10*v**4 - 14*v**3 + 14*v**3)*(-3 + 2 - 1) + (v**3 - 3*v**3 + 0*v**3)*(0 + 0 + 3*v). 14*v**4 Expand (0*n + 5*n + n + (2 - 3 + 2)*(-2*n + 3*n + 0*n))*(0*n - 3*n**3 + 0*n) - n + n + 2*n**4. -19*n**4 Expand (7 - 1 + 24*a - 22*a)*(3 - 4 + 0). -2*a - 6 Expand (1 - 1 + 2)*(6 - 1 - 1)*(0 + 1 + 0)*(2*h + 4*h - 5*h). 8*h Expand -3*m**5 + 3*m**5 + 3*m**5 + (-2*m - 1 + 1)*(5*m**2 - 5*m**2 - 2*m**4). 7*m**5 Expand 1 - 2*m - 2 + 0*m + (4 - 2 - 5)*(-5*m + 4*m + 0*m). m - 1 Expand (-4*w - w - 2 + 3*w)*(-1 - 3 + 3)*(6*w - w + 2*w). 14*w**2 + 14*w Expand 3*p**4 + 2*p**4 - 6*p**4 + (2*p**4 - p**4 - 3*p**4)*(4 - 3 + 1) - p**4 - 2*p**4 + p**4. -7*p**4 Expand 1 - 5 + 3*x**3 - x**3 + (-x - 3 + 3)*(x**2 + x**2 - 4*x**2). 4*x**3 - 4 Expand (-2*t + 2*t - 2*t)*(t + 3*t - 5*t) + t**2 - 5 + 5 - 6*t**2 + 3*t**2 + 2*t**2 + (4 - 4 + 2*t**2)*(5 - 2 - 5) + 1 - t**2 - 1 - 2*t**2 + 4*t**2 - 4*t**2. -5*t**2 Expand (3*h**2 - 2*h**2 - 2*h**2)*(11*h**2 + 15*h**2 - h**3 - 24*h**2 + h). h**5 - 2*h**4 - h**3 Expand (2 - 2 + 2*q)*(-7*q**4 - 8*q**4 - 22*q**4). -74*q**5 Expand (5*g - 2 + 2)*(-6*g + 0*g + 0*g) - 2*g**2 - g**2 + 5*g**2 + 1 - g**2 - 1. -29*g**2 Expand (11 - 11 - 10*w**2)*(-1 - 2*w**2 + 4*w**2 - w**2). -10*w**4 + 10*w**2 Expand (4 - 3 + 1)*(0*q - 3*q + q)*(-1 + 2 - 3)*(-3*q**3 + q**3 + 3*q**3). 8*q**4 Expand (-14*w - 48 + 48)*(-3*w**2 + 3*w**2 + 0*w**4 + w**4). -14*w**5 Expand 0*q**3 + 4*q**5 + 0*q**3 + (-q**4 - q**4 + 3*q**4)*(-2*q + q - q) + (-2 + 1 + 3)*(2*q**5 + 0*q**5 + 2*q**5). 10*q**5 Expand 3*l - 3*l**2 - 3*l + 1 - 2*l + (-4 + 4 - 1)*(1 - 1 + l**2). -4*l**2 - 2*l + 1 Expand (-a**2 - 3*a**2 + 3*a**2)*(-6*a + 0*a + 4*a) + 2 - a**3 - 6 + 0*a**3 - 3*a**3 - 3*a**2 + 3*a**2 + (1 - a**2 - 1)*(-a + 0*a + 2*a). -3*a**3 - 4 Expand 2*a + a + 0*a + (1 - a - 1)*(-3 + 1 + 4) - 8 + 5 + 0*a + 2*a. 3*a - 3 Expand (-12*u + 0*u - 16*u)*(0 - 1 - 1)*(-3*u + 3*u + u)*(-3*u + 0*u + u). -112*u**3 Expand (4*m**2 + 2*m**3 - 4*m**2)*(1 - 1 - m**2) + 2*m**5 - m**5 - 4*m**5 - 3*m**5 + 3*m**4 - 3*m**4. -8*m**5 Expand 29*n**5 - 12*n**5 - 3*n**2 + n**2 + (2*n**3 - n + n)*(0*n**2 + 0*n**2 - n**2). 15*n**5 - 2*n**2 Expand (-2*z + 0*z + 0*z)*(-4*z + 2*z + 4*z) - 4*z**2 + 11*z**2 - 20*z**2 - 17*z**2. -34*z**2 Expand (2*q**2 - 3*q**2 - q**2)*(13*q - 28 + 30 + 0*q). -26*q**3 - 4*q**2 Expand (-168*z + 6*z**3 + 168*z - 4)*(z - 2*z**2 - z). -12*z**5 + 8*z**2 Expand (57*u**2 + 148 - 148)*(-1 + 1 + 2*u**3). 114*u**5 Expand (-39 + 5*k + 39)*(4*k**2 + 4*k**2 - 6*k**2). 10*k**3 Expand (-a + 0*a + 0*a)*(1 - 3*a**3 - 2 + 0). 3*a**4 + a Expand (-10*t**2 + 17*t - 17*t)*(-t**3 + t**3 - 2*t**3) + (2 - 8*t + 4*t**2 + 8*t)*(-3*t**2 + 3*t**2 + t**3). 24*t**5 + 2*t**3 Expand (-16 + 16 + 9*o)*(o - 3*o - 2*o**4 + 4*o) - o**3 + o**3 + 3*o**5 + (2*o**2 - 3*o**2 - o**2)*(2*o**3 + 2*o - 2*o). -19*o**5 + 18*o**2 Expand -3*n + 2*n**3 + 3*n - 3*n**3 + 3*n**3 - n**3 + (0*n**2 - 2*n**2 + n**2)*(2 + 2*n - 2) + (n**2 - 5*n**2 + n**2)*(0 - 2*n + 0). 5*n**3 Expand (-3*v**3 + 0*v + v + 0*v)*(3 - 3 + v**2). -3*v**5 + v**3 Expand (-2 + 3 - 3 - f)*(5*f - f - 6*f). 2*f**2 + 4*f Expand s**3 + s - 2*s + 0*s**3 + (4*s + 2*s**3 - 4*s)*(1 + 3 - 2) + 4*s**3 - 3*s**3 - 2*s**3 + 3*s**3 + 0*s**3 + 0*s**3. 7*s**3 - s Expand (-2*r**2 - 2*r**2 - 2*r**2)*(2 - 2 - 3*r**3) + (r**3 + 0 + 0)*(-r**2 - 2*r**2 + 4*r**2). 19*r**5 Expand (2*w - 5*w + w)*((-5 + 1 + 3)*(-2 + 1 - 1) - 3 - 8 + 3) - 2*w + 1 - 1. 10*w Expand j**2 - j**2 + 2*j**5 + (j - j + 7*j)*(4 - 4 - j**4). -5*j**5 Expand 3*b**2 + 3 - 3 + (-8*b + 0*b + 0*b)*(0*b + 3*b - b). -13*b**2 Expand (-3 + 1 + 4)*(-6 + 12*r**2 + 6) - 3*r**2 + 2*r**2 + 2*r**2 - r**2 - 5 + 5. 24*r**2 Expand ((-2*f**2 + 0*f + 0*f)*(0 + 3*f + 0) + 2 - 2 + 4*f**3)*(f - 2*f**2 - f). 4*f**5 Expand (-2 + 1 - 1)*(-c - c + 4*c) - 3*c - 5*c + 5*c. -7*c Expand -3*u + u + u + 2 - 1 + 1 - u + (4*u - 3*u + u)*(-3 + 1 + 0). -6*u + 2 Expand ((-2 + 2 - 2*h)*(0*h - h + 2*h) + 0*h**2 + h**2 - 2*h**2)*(4 - 4 - h). 3*h**3 Expand (-1 + 12*d - 12*d - 5*d**4 + d**2)*(1 - 4 + 2). 5*d**4 - d**2 + 1 Expand (-9*x - 6*x - 12*x)*(2*x**2 + x**2 - 5*x**2). 54*x**3 Expand -2*z**5 - 2*z**5 + 5*z**5 - z**5 - 2*z**5 + 2*z**5 + (-z**3 - 2*z**5 + z**3)*(3 + 1 - 5). 2*z**5 Expand (3 + 2 - 4 + (0 + 0 + 2)*(1 + 3 - 5))*(3*v - v - 4*v). 2*v Expand (-12 + 22 + 4)*(-i**2 + 5*i**2 - 2*i**2) + i**2 + i**2 + 0*i**2. 30*i**2 Expand (-3*g + g + 4*g)*(0 - 4 + 3)*(21 - 21 + 4*g). -8*g**2 Expand (-4 + 4 - 4*v)*(5 - 1 + 5)*(v - 2*v - v). 72*v**2 Expand (2 - 2 - r)*(0 + 3 + 2)*(0*r**4 + 3*r**4 - 4*r**4). 5*r**5 Expand (-4*y**3 + 13*y**3 + 0*y**3)*(-2*y - 2*y - 3*y + (-1 + 2 - 2)*(-3*y + 0*y + y)). -45*y**4 Expand -1 - 2*o**2 + 0*o**3 + 2*o**3 + 0 + 2*o**3 + 17*o**3 - 5*o**3 + (2 + 2*o**3 - 2)*(2 + 3 - 7) + o**3 + o**3 - o**3. 13*o**3 - 2*o**2 - 1 Expand (-4*k**4 + 5*k**4 + 4*k**4)*(-3 + 6 - 1) + (1 - 2*k - 1)*(0*k**3 + k**3 + 0*k**3). 8*k**4 Expand (-17*i + 17*i**4 + 17*i)*(i + 4 + 0*i - 2). 17*i**5 + 34*i**4 Expand b**2 + 2*b**4 - b**2 + (0*b + 0*b - b)*(b**3 - 6*b**3 + 3*b**3) + (b - 4 + 4)*(-b**3 - 2*b**3 + 4*b**3). 5*b**4 Expand (4*r**3 + 0*r + 0*r)*(4*r**2 - 2*r**2 - 3*r**2) - 3*r**5 + 4*r**5 - 2*r**5. -5*r**5 Expand (-r**2 - 3*r**2 + 5*r**2)*(-3*r**2 + 4*r**2 - 3*r**2) + 0*r**2 + 0*r**2 - r**4 + 2*r - 2*r - 4*r**4. -7*r**4 Expand (-5 - 1 - 3)*(3*t - 5*t - 2*t)*(1 - 1 + 3)*(-t + 3*t - 3*t). -108*t**2 Expand (-3*k**3 + 6*k**3 - 5*k**3)*(0 - k + 3 - 4) - 2 + 2 - 2*k**4 + (1 + k - 1)*(0*k**3 + 5*k**3 - 6*k**3). -k**4 + 2*k**3 Expand (2 + 1 - 4)*(-r + 3*r + 0*r)*(16*r**2 - 16*r**2 - 3*r**4). 6*r**5 Expand 2*p**5 - p**5 + 0*p**5 + (-7*p + 4*p + 0*p)*(0*p**2 - p**4 + 0*p**2). 4*p**5 Expand (z - z - z)*(-1 - 3 + 2)*(1 + 2 - 1). 4*z Expand (0*h**3 + 0*h**3 - 4*h**3)*(-3*h - h + h). 12*h**4 Expand 4*o - 4*o - 2*o**2 + 3*o**2 - o**2 + o**2 + (-5 - 4*o + 5)*(-2*o + 7*o - 2*o). -11*o**2 Expand ((2 + 3 - 3)*(-1 + 1 + 1) + 1 - 4 + 4)*(y - 4*y + 2*y)*(19 + 13*y - 19). -39*y**2 Expand (8*z - 34 + 34)*(-3*z**2 + 0*z**2 + 5*z**2)*(-2*z + 5*z - 2*z)*(5*z + 0*z - 4*z). 16*z**5 Expand (0*p - 5*p + 3*p)*((2 + 3 - 3)*(0 - 1 + 3) + 1 + 0 - 3). -4*p Expand 8*u**3 + u**3 + 4*u**3 + (-2*u**2 + 2*u**2 + u**2)*(2*u - 7*u + 3*u). 11*u**3 Expand 0*z + 0*z + z**5 + (-1 + 0 + 0)*(0*z + 0*z - z**3)*(-2*z - 2*z**2 + 2*z). -z**5 Expand 5*x + 1 - 1 + (-3 - 1 + 2)*(-3*x + 2*x - x). 9*x Expand (c**2 - 6*c**4 - c**2)*(-2 + 2 - 1). 6*c**4 Expand (3 - 6 + 3*r + 1)*(64 + 45 - 159). -150*r + 100 Expand (x - x - 2*x**2)*(-2*x**3 + 3 - 3) + 21*x**4 - 2*x**5 + 0*x**5 - 23*x**4. 2*x**5 - 2*x**4 Expand 0*k**3 - k**3 + 5*k**3 - 4*k**3 + 0*k**3 + 3*k**3 + (2*k + 4 - 4)*(2 - k**2 - 2) + 0*k**3 - 2*k**3 + 0*k**3 - k**3 + k**2 - k**2. -2*k**3 Expand (3*o - o - 4*o)*(-74 - 3*o**2 + 74)*(1 - 2 + 0). -6*o**3 Expand (4*i**2 - i**2 - i**2)*(-3 - 2 + 4)*(1 - 1 - i)*(-2*i**2 - 2 + 2). -4*i**5 Expand (0*w**4 + w**4 - 6*w**4)*(2 - 6
{ "pile_set_name": "DM Mathematics" }
060 Which is greater: 23.69 or -19486? 23.69 Do 215128 and 215142 have the same value? False Is 15555545/2 > 7777774? False Is 33169 > 34505? False Is 4277 not equal to 4291? True Which is bigger: 78 or 451661? 451661 Which is smaller: -6/77 or -1642795? -1642795 Which is bigger: -147832 or -147621? -147621 Are -18657368 and -18657369 equal? False Which is greater: -1525693 or -1525705? -1525693 Is -30 greater than or equal to 53374? False Which is greater: -16691/998 or -18? -16691/998 Is -7 bigger than 35184? False Are -174765942/7 and -24966564 unequal? True Is -263707 greater than -263716? True Do 3/41 and 0.8699 have the same value? False Which is bigger: -2617617 or -1? -1 Which is bigger: -100075 or 7? 7 Which is smaller: 10242 or 1034380/101? 1034380/101 Is -32 at least -42974/1401? False Which is greater: -1 or -4/81852271? -4/81852271 Which is smaller: 0 or -3/8290300? -3/8290300 Is -508 less than 75777? True Which is smaller: 56768329/7 or 8109760? 8109760 Which is smaller: -3897 or -0.089? -3897 Which is smaller: 0 or 14/13759951? 0 Which is smaller: 48800 or 1155? 1155 Is 280376173 at least 280376173? True Does 0.00112 = 3.0238? False Is -51.698 not equal to -87? True Is -63298/1203 greater than -54? True Are 263129 and 262690 unequal? True Is 15 != 358021? True Are 90957 and 85620 equal? False Is 1/3051665 greater than 0.27? False Is 46018/3641 > 13? False Which is greater: -8/18662849 or 0? 0 Which is greater: 15480555 or 15480570? 15480570 Do -7714 and -12117 have the same value? False Is -1/4 equal to 11.6047? False Which is greater: -840/3067 or 1? 1 Is -782 at most 188382? True Is -61925 > -5511362/89? True Is 349/91224 at least as big as 1? False Is 19838 at least 19095? True Which is greater: -4 or 2275704/13? 2275704/13 Is -235922 at least as big as -103.8? False Which is bigger: -23/137389 or -1? -23/137389 Is 3142192 equal to 3142190? False Is -3295148 less than or equal to -3295158? False Which is smaller: -332231 or -332660? -332660 Is 6231540 != 6231488? True Which is greater: 28501405 or 28501414? 28501414 Is -17644046 less than or equal to -35288089/2? True Is -477633 less than or equal to -477618? True Which is bigger: -764435 or -8408776/11? -8408776/11 Is 1316/1805087 less than or equal to 1? True Is -851288 greater than -851314? True Which is bigger: 27757687/6 or 4626282? 4626282 Which is smaller: -2.0530902 or -0.2? -2.0530902 Which is greater: -108105 or -5945798/55? -108105 Which is smaller: -38404 or -8448849/220? -38404 Is 1079048 >= 9711433/9? False Which is bigger: 0.82 or -13469? 0.82 Is 13031824 greater than or equal to 13031824? True Is 5733362 at least 5733405? False Is 34/17001083 at least as big as 0? True Is 8596613 greater than or equal to 0.055? True Is -85463 less than or equal to -85511? False Is -4/18495245 > -1? True Do 0 and 2295/6886 have different values? True Do -156994447/10 and -15699444 have different values? True Is -1 smaller than -4945/29614? True Are -49421 and -49897 unequal? True Which is smaller: -1334690/1443 or -926? -926 Which is greater: 427/3429 or -165? 427/3429 Which is greater: 3045431/7 or 435061? 3045431/7 Which is greater: -73/192 or -10030? -73/192 Is 18406024 less than or equal to 239278328/13? True Which is smaller: -26341990 or -79025969/3? -26341990 Which is greater: -63214825 or -63214824? -63214824 Which is greater: 0.02 or -2642.6825? 0.02 Is -1 greater than or equal to 10/86223089? False Which is bigger: 1 or -304/368915? 1 Which is bigger: 13355/3 or 12/503? 13355/3 Which is smaller: -591 or 3/13012? -591 Is 7353/13094 less than 1? True Is 1 != -23046/58129? True Which is smaller: -113267783 or -113267781? -113267783 Which is smaller: -1/2 or 148.73522? -1/2 Is -9053485/48 equal to -188615? False Does -1496213 = -1496014? False Is 1179 at least as big as 126164/107? False Which is smaller: 1110 or 138717/125? 138717/125 Is -28116 not equal to 1492? True Which is smaller: -244621484 or -244621483? -244621484 Which is smaller: -0.5 or 929354? -0.5 Is 68 >= 4/3154325? True Which is smaller: -30255 or -28383? -30255 Does 91982409 = -1? False Which is smaller: -892339 or -892061? -892339 Which is smaller: 73230601 or -1? -1 Is 5633911 at least as big as 5633884? True Is -87 at most as big as -2546173? False Is 3/92 less than -198/509? False Are 0.4 and -591.3112 equal? False Is -1 at least 2336.086? False Is -77/2 less than -233310? False Which is smaller: 11 or 3470169? 11 Which is greater: -5/873 or -3/130? -5/873 Which is bigger: 113330611 or 113330606? 113330611 Which is smaller: -167/278697 or -1? -1 Is 2/21730601 equal to -1? False Which is smaller: 4/11 or -3587742? -3587742 Is 5874482 > 5874479? True Which is smaller: -47491399 or 1? -47491399 Is -69/1897745 at most -1? False Is -1058124 at least -1058143? True Is -19450 equal to -22821? False Which is bigger: -3963 or -3421? -3421 Which is smaller: -1853 or -2152/11? -1853 Is -1 < 2/7702794429? True Is -16/74055191 equal to 1? False Is 689755/3 < 278? False Is -1 greater than or equal to -197/97271? False Which is smaller: -323630 or -322233? -323630 Is -78 > -148348/1899? True Which is bigger: -381 or -141? -141 Are -228801 and -232048 non-equal? True Which is smaller: -127 or -45017/351? -45017/351 Is -142176788 > 4? False Is 0 > 5/14317429? False Are -2650294 and -2650168 non-equal? True Which is bigger: 0 or -6018/222179? 0 Is -50102031 less than 0? True Is -1863/31033 smaller than 1? True Is -618/1277549 at least -1? True Which is smaller: 3401 or 3107? 3107 Is -839 < -185698/221? False Which is smaller: -30/2274209 or 1? -30/2274209 Which is smaller: -2/3819138675 or 1? -2/3819138675 Which is smaller: -69106718 or -69106717? -69106718 Which is bigger: 1662505776 or 1662505775? 1662505776 Which is smaller: -4450/9 or 46195? -4450/9 Which is smaller: -0.4961067 or -39? -39 Which is bigger: -49750471 or -49750473? -49750471 Which is greater: -10448994 or -1? -1 Which is bigger: 33567224/5 or 6713446? 6713446 Which is bigger: 46173 or 46178? 46178 Are -4709560/77 and -61162 nonequal? True Which is smaller: 0 or -75/3808891? -75/3808891 Which is smaller: 523562 or 523575? 523562 Are 253.392 and -7.6 equal? False Is -2/9 at most 88253.656? True Which is bigger: -4.112058 or 186? 186 Is 88350990/19 <= 4650051? False Is 55034.773 greater than 3? True Is 406326 < 406279? False Are -1/12 and -98404 nonequal? True Is 27015 > -4103? True Which is smaller: -1025 or 4056? -1025 Which is greater: -8165230 or -8165228? -8165228 Is 6 at least as big as -204205381? True Is 34056756 not equal to 34056758? True Which is bigger: -38/1385341 or -1? -38/1385341 Is -139145038 at least as big as -139145037? False Is 2 >= 57350/92571? True Which is bigger: 226259/72 or 3143? 3143 Is -19033291 equal to -19033291? True Which is bigger: -2/25104367 or 0? 0 Is 95669 smaller than 11001802/115? False Is 237723523 less than or equal to 2/7? False Which is smaller: -99061655/6 or -16510277? -16510277 Is 309500 not equal to 17332047/56? True Which is smaller: -56 or 130479? -56 Is -62064 at most 2/13? True Which is bigger: -1820652.7 or 3? 3 Which is bigger: 178635138/13 or 13741165? 13741165 Which is smaller: -606408 or -606400? -606408 Which is smaller: 0.2 or -2.78617442? -2.78617442 Which is smaller: -3752/16985 or 1? -3752/16985 Which is smaller: 156/5202185 or 0? 0 Does -1 = -224/584681? False Is 1160880197 at least 1160880195? True Which is greater: -5/2 or -2389242/19? -5/2 Do 12/71 and 265/13 have different values? True Which is greater: 247031660 or 247031659? 247031660 Does 1836553 = 1836544? False Is -1.524343 greater than 244? False Which is bigger: 299663102 or 299663101? 299663102 Is -662 < -14565? False Which is bigger: 5268546 or -4/11? 5268546 Does 1665/25217 = 0? False Is -41920 <= -42230? False Which is smaller: -1787 or 146/11? -1787 Is 66720419 > -1/3? True Is -409827581 <= -409827579? True Which is smaller: -6238478 or -6238480? -6238480 Which is smaller: 1387776113 or 1387776112? 1387776112 Is 2351 at least -10.4203? True Do 1 and -578/460349 have the same value? False Which is bigger: 7095/1627 or 40? 40 Are 1/16 and -23477/11 equal? False Which is smaller: 47/1830 or -1.205? -1.205 Which is smaller:
{ "pile_set_name": "DM Mathematics" }
r. -1, 0, 0.2, j Let w be 16 - (8/(-5) + 6/(-15)). Suppose -5*h - w = 3*p, -5*h - 6 - 6 = -3*p. Let q be (-12)/(-10)*10/3. Sort 5, q, p in descending order. 5, q, p Let z = 0.1 + -1.1. Let m = 1569 - 1571. Sort m, 0.1, z. m, z, 0.1 Let m = -16 - -16. Suppose -r + 2*h = h - 15, -2*h + 30 = 2*r. Sort r, m, 4, 5 in increasing order. m, 4, 5, r Let b = -250 - -250.09. Sort b, 4, 0.4 in ascending order. b, 0.4, 4 Let b be (-2)/4 - (-49)/(-40). Let z = b - -17/8. Let d be 10/3*(-3)/6 - -2. Put -5, z, d in increasing order. -5, d, z Let u = 1 + 18. Let k = u - 16. Let o = -5 - -9. Put k, o, -3 in descending order. o, k, -3 Suppose -3*n + o = 3*o + 1, -5*n = 3*o + 1. Let t = -13.4 - -24.7. Let x = -6.3 + t. Sort x, 4, n in descending order. x, 4, n Let l = 0.0236 - -0.9764. Sort l, 2, 28, 5. l, 2, 5, 28 Let z = 39 - -23. Let m = 67 - z. Put m, 15, 3, 0 in increasing order. 0, 3, m, 15 Let g = -8 + 3. Suppose 3*t - 30 = -3*t. Suppose 6*w - w = t*a - 15, -2*a - w - 9 = 0. Sort a, 2, g in decreasing order. 2, a, g Let x be ((-55)/33)/(2/6). Sort -1, 0, x, 20 in increasing order. x, -1, 0, 20 Let b(w) = -w**3 + 4*w**2 + 4*w + 12. Let g be b(5). Let s(d) = -7 + d**3 - 4*d - 3*d - 6*d**2 + 0. Let m be s(g). Sort m, -3, -5. m, -5, -3 Suppose r - a - 4 = -0*r, a = -5*r - 10. Sort r, 3, 169 in descending order. 169, 3, r Let z = -92 + 79. Suppose 5 = 2*x - 1. Sort z, x, 5 in descending order. 5, x, z Let v(z) = z**3 - 13*z**2 + 25*z - 25. Let c be v(11). Suppose 4*r + o + 19 - 3 = 0, -2*r = 4*o + c. Put -1, 4, -5, r in decreasing order. 4, -1, r, -5 Suppose 251 - 27 = -8*b. Sort b, -0.1, 0.06 in descending order. 0.06, -0.1, b Let u = 0 - -0.4. Let a = -132867/10 + 13198. Let t = 179/2 + a. Put u, t, 3/8 in decreasing order. t, u, 3/8 Let o(k) = -k**3 - k**2 + 5. Let r be o(0). Let l be ((-86)/(-4))/(-1)*8/(-4). Suppose -55 + l = 3*m. Put m, r, 3 in decreasing order. r, 3, m Let l = -48 - -46. Let u be 0*(l - 12/(-8)). Put -4, u, 4, -2 in decreasing order. 4, u, -2, -4 Let d = -1 - -1. Let m(c) = c**3 - c**2 + 1. Let g(y) = 3*y**3 - 4*y**2 + y + 7. Let a(f) = g(f) - 4*m(f). Let u be a(d). Sort -3, 4, u in descending order. 4, u, -3 Let z(b) = b**2 + 21*b + 40. Let x = 48 + -67. Let k be z(x). Sort k, 5, -1, -5 in ascending order. -5, -1, k, 5 Let p = 0.61 + -0.576. Let y = 0.634 - p. Let w = -6 + 1. Put w, y, 4 in increasing order. w, y, 4 Let y = 6 - 2. Suppose -s + 4 = 2. Sort s, y, 1. 1, s, y Let f be 35 + -35 - 2/(-12). Put -5/2, 9/4, f, 1/5 in ascending order. -5/2, f, 1/5, 9/4 Let d = 1.61 + -2.61. Put 0.2, -2/9, -1/4, d in ascending order. d, -1/4, -2/9, 0.2 Let k = 282 - 279. Sort 6, -3, k, -4 in descending order. 6, k, -3, -4 Let z be (2/10)/(24/40). Let y = 97.5 + -98. Sort z, -2/3, -9, y in increasing order. -9, -2/3, y, z Let z be (14/(-5))/(-1) - (-21)/105. Sort z, 0, -4. -4, 0, z Let f = -475 + 472. Put f, -1/8, -15, 1 in decreasing order. 1, -1/8, f, -15 Let i = 1/24 + -7/24. Let u = -3.5 + 4. Sort u, -2/5, -0.1, i. -2/5, i, -0.1, u Let r = 38 + 26. Let m = 62 - r. Suppose -2*k + 10 = 0, -d + k - 17 = 2*d. Sort d, m, 2/3. d, m, 2/3 Let y = 0.039 - 79.039. Let g = -78.5 - y. Sort -4, -2/47, 0, g in increasing order. -4, -2/47, 0, g Suppose -16 = -4*q - 0*q - 2*g, -g + 2 = -q. Let m be 4/(-14) + 117/91. Let i = -27 + 109/4. Put q, i, m in descending order. q, m, i Let h = -0.321 - -0.621. Sort h, 4, 247 in decreasing order. 247, 4, h Suppose 5*s + 213 - 98 = 0. Put 5, s, 3, 0 in ascending order. s, 0, 3, 5 Let v = 12 + -6. Let u = v - 6.2. Let q = -36.25 - -36. Put 3, q, u in decreasing order. 3, u, q Let t be (-10)/12 + 4/(-8). Let m = 2 + -0.5. Let x = m - 1. Put -2, x, t in decreasing order. x, t, -2 Let f be 216/16 - 6/4. Let h = f - 24. Sort -4, -2, h. h, -4, -2 Let s = 166 + -183. Sort 2, s, -4 in decreasing order. 2, -4, s Let p = -21860 - -21864. Let b(u) = -u**3 + 7*u**2 - u + 9. Let h be b(7). Put 13, h, 5, p in increasing order. h, p, 5, 13 Suppose a - 16 = -4*x, a - 8 = -a. Put 2, 0, -18, x in decreasing order. x, 2, 0, -18 Let o = 78 + -77.7. Sort -1, -69, o, -3/8 in increasing order. -69, -1, -3/8, o Let i = 2.8 + -3. Suppose -w - 5 = -o, -4*o = -0*o + 4*w - 4. Suppose 11 + 1 = o*f. Put i, 0.2, f in descending order. f, 0.2, i Let o = 6 + -10. Let i = -278.4 + 326. Let v = 48 - i. Sort v, o, 0.5. o, v, 0.5 Let u(x) be the second derivative of 2*x**3/3 + 5*x**2/2 - 2*x. Let w be u(-2). Let d = 2 - w. Sort 0, d, -2. -2, 0, d Let b = 8 - 8. Let f be -1 + 4 - (-1 + b). Let j be 4/70*(6 + f). Sort j, 5, -0.1 in descending order. 5, j, -0.1 Suppose -41 = -r - 4*f - 2, 5*f + 195 = 5*r. Sort 1, r, -1. -1, 1, r Let r = -20.031 - -0.031. Let x = r - -19.7. Put x, -2, 1 in decreasing order. 1, x, -2 Suppose b = 3*r + 8, -3*r - 33 = 2*b - 40. Let p be (-3 - 0)*2/(-2). Put -3, p, b in descending order. b, p, -3 Suppose -2*l - 84 = -30*l. Sort -247, l, -5 in decreasing order. l, -5, -247 Let d(f) = f - 25. Let r be 28 - (2/2)/((-3)/(-12)). Let o be d(r). Put 4, 0, o in increasing order. o, 0, 4 Let a = -23 - -21.9. Let p = a + 0.1. Let g be (56/42)/((-66)/(-9)). Put 1, p, g in increasing order. p, g, 1 Let c = -6.7 + 7. Let b = -18/55 + 23/55. Put b, c, -2/9, 1 in descending order. 1, c, b, -2/9 Let b = 0.7 + -0.2. Suppose -11*a = -34*a + 230. Put a, -0.5, b in ascending order. -0.5, b, a Let m = -1 + 5. Let o = -38 + 17. Let t = o - -21.3. Put -1, t, m in increasing order. -1, t, m Let y be 6/((-2)/6*2). Put y, -2, 2 in descending order. 2, -2, y Suppose -d = -4*l + 22, -3*d = -4*d + l - 7. Suppose 13 = 3*u - 2*u + 4*t, -3*t + 1 = -u. Let s(p) = p - 3. Let f be s(u). Put f, -5, d in descending order. f, d, -5 Suppose t - 4*j + 2 = 4, -3*j = -3*t + 6. Let y be 5/(-10) + (-28)/8. Sort y, 6, t. y, t, 6 Let i be (2/4)/(3/18). Suppose -10 = i*a + r, -r + 3*r + 5 = -a. Sort a, -4, -1. -4, a, -1 Let k = -2/13 - 7/39. Suppose -5*o - 4*v = 8, 4*o - v + 9 = 11. Put 4, 1/4, o, k in increasing order. k, o, 1/4, 4 Suppose -10*a = -25 - 5. Suppose 2*f - 3 = -c, 16 = 5*f - a*c - 8. Suppose -3*h = -5*u - 11, -4*h + 8 = -u - 1. Put f, u, -4 in descending order. f, u, -4 Suppose -2*a - 1 - 1 = -r, 6 = 3*r + 2*a. Let b = 0.3182 + -3.3182. Sort 4, b, 11, r. b, r, 4, 11 Let c = -86.4 - -87. Let d = 0.2 + -1.2. Sort -0.3, c, d, -2 in descending order. c, -0.3, d, -2 Let k = 923 + -922. Let j = 2.8 - 3. Put k, -1/3, j in descending order. k, j, -1/3 Let w(d) = -6*d**3 + d**2 - 2*d + 7. Let o be w(3). Let i = 1063/7 + o. Sort -3/4, i, -1 in descending order. i, -3/4, -1 Let u(d) = d**3 - d**2 + 15*d + 7. Let l be u(0). Let i be (-96)/(-9) - (-1)/3. Let q = l - i. Sort q, 1, 0 in decreasing order. 1, 0, q Suppose 0 = -2*r - 3*c - 22, -3*r - 104 = -2*c - 97. Suppose -5*g + l + 3 = 0, -4*l = -0*g - g - 7. Put 5, 0, r, g in descending order. 5, g, 0, r Let l(c) = 3. Let a(u) = u + 24. Let d(i) = a(i) - 6*l(i). Let s(r) = 2*r + 2. Let m be s(-3). Let b be d(m). Sort -3, 4, b in ascending order. -3, b, 4 Let j = -220 - -219.955. Sort -1, j, -3 in ascending order. -3, -1, j Let z be ((-1)/(-2))/(21/(-126)). Sort z, 2, -4, -1 in decreasing order. 2, -1, z, -4 Let b = 960 - 968. Put -1, 0, 0.5, b in ascending order. b, -1, 0, 0.5 Let g(f) = f**3 + 4*f**2 + 7*f + 17. Let n be g(-3). Sort -2, 1, -3, n in increasing order. -3, -2, 1, n Let r = -3 + 4. Let h be r*-1*2/(-10). Suppose 2*i - 2*s + 6 - 18 = 0, 16 = -4*s. Put h, i, -3/5 in decreasing order. i, h, -3/5 Let a be 37/(-111) + (48/9 - 0). Sort a, -3, -17. -17, -3, a Let s = 1.1 - 0.8. Let v = -11/123 - -446/861. Sort s, 3, v, 1 in ascending order. s, v, 1, 3 Let o = -297 + 294. Let u be (2/(-4))/(-1) - 1. Sort o, 0.4, u in increasing order. o, u, 0.4 Let y be (6 - 9)/((-8)/242). Let b = y + -6889/76. Sort b, 4, -1/3, -3 in decreasing order. 4, b, -1/3, -3 Let a = 15 - 10. Sort -1, 4, a, -5 in descending order. a, 4, -1, -5 Let x = 3.25 - -0.35. Let o = -0.6 + x. Let r = 4.1 + -4.5. Put r, 4, o in ascending order. r, o, 4 Let h = 0.242 - 5.532. Let w = 1.29 + h. Put 8, -3, -1, w in decreasing order. 8, -1, -3, w Suppose i = -3*i + 12. Let k(u) = 4*u + 7. Let q = -73 - -70. Let d be k(q). Sort d, i, 0 in decreasing order. i, 0, d Let w = -401 - -404. Put 0, -5, w, -2 in descending order. w, 0, -2, -5 Let b(w) = -w**3 + 7*w
{ "pile_set_name": "DM Mathematics" }
= -3*a - z + 2*z. What is the lowest common multiple of (-4)/a + (-966)/(-49) and 18? 180 Let i(f) = f. Suppose -2*d - 5*h - 11 = 0, -5*d + 10 + 6 = -2*h. What is the lowest common multiple of 3 and i(d)? 6 Calculate the common denominator of (-9)/6*(1 + 2) and (3/(-12))/((-6)/135). 8 Let d = -189991/154284 - -85/69. Let n = 30743/4472 + d. Find the common denominator of -37/11 and n. 88 What is the least common multiple of 6 and (1 + 1)/(-2)*-20? 60 Let k(m) = m**2 - 5*m - 4. Let x = 67 + -48. Calculate the smallest common multiple of k(6) and x. 38 What is the common denominator of (-7)/(-126) + 2/4 and ((-218)/12 - -1) + 2? 18 Let z(o) = o - 13. Let t be z(10). What is the smallest common multiple of 16 and (30/t)/1*-2? 80 Let m be 1/(3/(8 - -1)). Suppose -8 = -g - m*g. Suppose 0 = -4*d + x + 16, d - 3*x - 2*x - 4 = 0. Calculate the least common multiple of d and g. 4 Suppose -22 = -4*t + 2*t. Let p be ((-2)/(-3))/(8/(-36)). What is the smallest common multiple of t and (-20)/15*(p - 0)? 44 Let m = 3793 - 30289/8. Let z = -2 + 16. Calculate the common denominator of m and 7/2*170/z. 8 Let k(i) = 2*i - 4. Let x be k(6). Let a(q) = -q**2 + 9*q. Let c be a(x). Suppose 0 = -h - 0*h + c. Calculate the lowest common multiple of 6 and h. 24 Let t(j) be the first derivative of -2*j**2 - 9*j + 2. Let n be t(-8). Let x = -13 + n. What is the smallest common multiple of 6 and x? 30 Let c(j) = -162*j + 2. Let w be c(-3). Let p = 1933/4 - w. Find the common denominator of p and ((-79)/30)/(1/(-3)). 20 Let b(y) = -y + 5. Let n be b(-4). Suppose 4*t - 57 + n = 0. What is the smallest common multiple of 16 and t? 48 What is the common denominator of -13/7 and (-7)/5*14/(-4)? 70 What is the common denominator of (18/(-10))/(1/(-6)) and 4/14*(0 - -6)/1? 35 Calculate the common denominator of (-171)/4*(-5)/15 and 43/38. 76 Find the common denominator of (6/(-28))/((-3)/(-44)) and ((-3828)/(-1100))/(-1*2/(-5)). 70 Let h(o) = -5*o - 2. Let n = -7 - -5. Let d(z) = -z. What is the smallest common multiple of d(-12) and h(n)? 24 Let b = -3559 + -2870. Let s = b - -141403/22. Let j = 11703/3344 - 13/209. Find the common denominator of s and j. 176 Let c(l) = l**3 - 5*l**2 + 2*l - 4. Let n be c(5). Find the common denominator of (-2)/4 + (-74)/8 and (2/11)/(n/(-21)). 44 Let m = 153 + -68. Let q = 509/6 - m. Calculate the common denominator of 43/2 and q. 6 What is the common denominator of -5/4 and 56/10 - 2/1? 20 Let a be (-44703)/(-24) - 1/(-4). Let q = 1858 - a. Find the common denominator of -41/2 and q. 8 Suppose -4*m - 8 = -5*m. Suppose 5*v - 2*x - 68 - 20 = 0, -5*x - 100 = -5*v. Calculate the lowest common multiple of m and v. 16 Let q = -92/53 + 1602/1961. Let o = q + -3163/222. Find the common denominator of o and 13/4. 12 Suppose -5*z - 2 = -222. Calculate the common denominator of z and 17/4. 4 Suppose 0*y - 4 = 4*y, -4*v + 34 = -2*y. Let a = 233 - 449/2. What is the common denominator of (-6)/v*(-134)/(-9) and a? 6 Let g(s) = s**2 - s. Let u be g(2). Let y(h) = 2 - h - u. What is the lowest common multiple of 9 and y(-5)? 45 Suppose -u + 0*u + 12 = 0. Let d be (9/18)/((-2)/u). Let z = d + 9. What is the smallest common multiple of z and 22? 66 Calculate the smallest common multiple of (3*4)/(4/6) and (45/6)/(-3)*-4. 90 Let c = -985 + 5891/6. What is the common denominator of ((-19)/(-2) - -1)/(-10) and c? 60 Let i = -406 - 320. Let b be (-12)/(-28) - (-15416)/(-21). Let g = b - i. Find the common denominator of g and 9/5. 15 Calculate the least common multiple of 15 and 10/(-25)*-10 + -3. 15 Let x(i) = 4*i**2 + 4*i + 2 - 1 + 1. Calculate the lowest common multiple of 11 and x(-2). 110 Let k(n) = n + 3. Let j be k(-4). What is the common denominator of 113/18 and (-452)/64 + j + 2? 144 Let y(b) = -2 - 1 - 1 + 2*b + 0*b. Let n be y(3). Suppose -j - n*l + 16 = j, 2*j - 44 = 5*l. What is the least common multiple of 20 and j? 60 Let l be 4/(-1 - -5) - -20. Calculate the common denominator of (9/6)/(l/64) and 61/6. 42 Let v(x) = -x - 4. Let k be v(6). What is the common denominator of ((-4)/k)/((-4)/(-6)) and (1/((-10)/(-248)))/2? 5 Suppose 0 = n + 4*y - 0 - 1, 0 = 5*n - 3*y - 5. Calculate the common denominator of -39/5 and -2*n + (-80)/(-22). 55 Suppose o = 6 - 0. Calculate the least common multiple of o and 10. 30 What is the lowest common multiple of (-3 - -7)*(-2 - 33/(-12)) and 21? 21 Let z(h) = h + 8. Let v be z(-7). What is the common denominator of ((-1)/6)/(v/115) and -51/20? 60 Let f = -719 - -5765/8. Calculate the common denominator of 47/10 and f. 40 Let i = -67/28 + 13/4. Find the common denominator of (-4)/22 + 5440/(-330) and i. 21 Let j(s) = 5*s - 6. Let c(h) = -h + 1. Let o(b) = -6*c(b) - j(b). Let l(v) = -3*v + 1. Let m be l(-1). Calculate the lowest common multiple of o(m) and 7. 28 Suppose -4*p + 6 = -p. Let l(w) = 3*w - 10*w + 4 + 5*w**p - 3*w**2. Calculate the lowest common multiple of 12 and l(4). 24 Let n = -4848 - -116329/24. Calculate the common denominator of n and 43/12. 24 Let v = -653 - -1269/2. What is the common denominator of 55/6 and v? 6 Let b(o) = 2*o**2 - 2. Calculate the least common multiple of 2 and b(2). 6 Let c = -7812 + 93799/12. Find the common denominator of 55/12 and c. 12 Suppose -8*z - 40 = -5*q - 4*z, -3*q + 24 = z. Suppose 2*g = -15 + 63. Suppose 4*l - 68 = -g. What is the least common multiple of l and q? 88 Suppose -5*n = -7 - 3. Suppose 2*h + 0*h - 4*o - 20 = 0, -4*o + 10 = 3*h. What is the least common multiple of h and n? 6 Calculate the common denominator of 51/7 and (-6)/(-2) - (-78)/(-9). 21 Let u = 7 + -6. Calculate the least common multiple of 9 and u. 9 Let b(g) = 4*g - 1. Let c be b(1). Let p(m) = -m - 2. Let n be p(c). What is the lowest common multiple of (-2 + 1)*(3 + n) and 18? 18 What is the common denominator of (-4)/(-16) - (-447)/132 and 29/16? 176 Let h = -1 - 1. Let p be 6213608/(-720) - h/5. Let l = p + 8632. What is the common denominator of l and -95/14? 126 What is the least common multiple of 16 and (-375)/30*((-18)/5 - -2)? 80 What is the common denominator of (24/(-60))/((-12)/635) and -1 + 2 - 48/(-22)? 66 Let d = -8621 - -172489/20. What is the common denominator of d and 91/8? 40 Let j = -1231 + 9873/8. What is the common denominator of j and 117/20? 40 Suppose 2*t + 0*t + 6 = 0, 5*l - 2*t = 6. Suppose 0*m + 28 = 4*m. Calculate the least common multiple of m and (-1 - l) + 5/1. 28 Let c = -1/3198 + -161491/25584. Find the common denominator of -1 + 2 + (-5)/(-100) and c. 80 Let a = -34049/490 + 691/10. Find the common denominator of 13/10 and a. 490 Let d = 33 + -32. Suppose -13 = -2*p - 3. What is the smallest common multiple of d and p? 5 Suppose 10 = -a - 657. Find the common denominator of 4/22 + a/220 and 86/(-24) + 2/(-8). 60 Let y be (-6)/(-2) - (-30282)/22. Let l = -1378 + y. Find the common denominator of l and 45/11. 11 Let m = -404999239/178755 - 2/59585. Let h = m + 2241. What is the common denominator of 40/3 and h? 3 Let y = 3 + -2. Calculate the smallest common multiple of y and (2/3)/((-6)/(-81)). 9 Let u(h) = -1. Let z(w) = w + 7. Let n(i) = -5*u(i) - z(i). What is the smallest common multiple of 18 and n(-8)? 18 Let b = -29 - -39. What is the lowest common multiple of 21 and b? 210 Suppose 4*a + a - 20 = 0. Calculate the least common multiple of a and 7. 28 Let y = -46 + 58. Calculate the smallest common multiple of y and 6. 12 Suppose 3*i + 14 + 20 = 2*u, -5*i = 2*u + 30. Let k = 16 + i. Calculate the smallest common multiple of 1 and k. 8 Suppose 4*c + 2*q + 26 = 0, 8 = -4*c + q - 27. Let n = c + 12. What is the least common multiple of n and 16? 16 Suppose 54 = 4*l - l. What is the least common multiple of 10 and l? 90 Let y = 48 + -92. Let r = -24 - y. Let h = 18 + -6. What is the smallest common multiple of h and r? 60 Let u = 167/8 + -17/2. Calculate the common denominator of -21/2 and u. 8 Let i(r) = 5*r**3 - 5*r**2 - 4*r + 4. Let h(m) = m**3 - m**2 - m + 1. Let v(c) = 4*h(c) - i(c). Calculate the least common multiple of 9 and v(-1). 18 Let u(b) = b + 6. Suppose -2*r = -r. What is the least common multiple of u(r) and 20? 60 Let s be 10*(-3)/12*-2. Suppose s = w + 4*w. Calculate the smallest common multiple of 3 and w. 3 Let i = 3 - -7. Suppose -
{ "pile_set_name": "DM Mathematics" }
/176 + 7/880. Calculate the common denominator of i and ((-25)/3 - -1)*315/84. 20 Let x(o) = 9*o - 36. Suppose 4*b - j - 24 = -2*j, 5*j = b + 15. Let c(g) = g + 14. Calculate the smallest common multiple of x(b) and c(13). 27 Let z(l) = 16*l**2 + 3*l - 1. Let j be z(3). Let x = -106 + j. Let b = -36 + x. Calculate the smallest common multiple of 10 and b. 10 Let j(d) = 2*d**3 - 5*d**2 - 4*d - 4. Let r be j(-4). Let c = 6452 + -77513/12. What is the common denominator of c and (7/r)/((-2)/36)? 84 Let s = -48 + 50. Let d be 10 - 13 - (-9 + s). Find the common denominator of 5/(90/d) + 22/(-6) and 36/7. 63 Let a(s) = -s**2 - 10*s + 4. Let v(l) be the second derivative of l**4/12 - 8*l**3/3 + 29*l**2/2 - 9*l. Calculate the least common multiple of a(-10) and v(14). 4 Suppose 10*m - 76 = 6*m + z, 3*z = -4*m + 60. Calculate the least common multiple of m and 15. 90 Let g = -342 - -332. What is the common denominator of 62/2*g/120 and 131/30? 60 Let t(j) = -j**2 + 34*j - 82. What is the smallest common multiple of 10 and t(29)? 630 Let q = -21/6672406 - 1663794461675/80068872. Let a = 20783 + q. What is the common denominator of a and 145/12? 24 What is the lowest common multiple of 30 and 181 + 4 + -1 + 20/(-2)? 870 Let q be 6 + 7529962/(-473580) + (-1 - -3). Let b = 2/23679 + q. Calculate the common denominator of 13/50 and b. 50 Suppose 9*u + 1 - 10 = 0. Let w be u/(3/1)*3. Suppose 0 = -y + w. Calculate the least common multiple of y and 8. 8 What is the common denominator of 0 - ((-27)/18*2 - 1166/(-348)) and -109/6? 174 Let p = 10244 - 9596. What is the least common multiple of 552 and p? 14904 Suppose -39 = d - 123. Let x = -66 + d. Suppose 6 - x = -3*v. What is the smallest common multiple of v and 4? 4 What is the smallest common multiple of 126 and 1*459 + (-618 - -624)? 19530 Calculate the least common multiple of (-4 + 9 + 1)*(5 + -4) and 754. 2262 Find the common denominator of -47/15 and 45/(-756)*1356/60. 420 Let b be (-3)/((((-20)/4)/(-5))/(-1)). Let h = 191039/15128 + -6/1891. Find the common denominator of 66*((-10)/4 + b) and h. 8 What is the smallest common multiple of 1050/2*(22 - (-3408)/(-168)) and 2520? 12600 Suppose 4*u - 1504 = -4*k, -6*u + 5*u = 2*k - 755. What is the lowest common multiple of k and 11? 4169 Let g(x) = -x**2 - 18*x + 1316. What is the smallest common multiple of 1808 and g(-46)? 12656 Suppose -21 = -3*l + b, -l - 73*b - 9 = -72*b. Let r be (22 - -2)/(-3) + 2. Let g = r + 10. What is the lowest common multiple of g and l? 12 Let p(d) = d - 4. Let a be p(5). Suppose 4*b - a = 3. What is the lowest common multiple of b and -2 + (-70)/(-5) + -5? 7 What is the common denominator of -25/846 and ((-12)/1)/((-3385)/50 + 3/15)? 4230 Suppose 5*s = 5*w - 7*w - 10565, -w - 5*s = 5285. Find the common denominator of (-2)/15 - (-15961)/w and 97/40. 160 Let d be (-1)/(1*5/(-10)). Suppose 0 = d*m - v - 3 - 12, -5*m + 38 = -2*v. Calculate the smallest common multiple of m and 180. 360 Suppose -46*t - 48*t - 46 = -93*t. Calculate the common denominator of t and 15/208. 208 Let g be 77/(-22)*1996/6. Let l = 1185 + g. Let b = 17133/10 - 1711. Find the common denominator of l and b. 30 Suppose 4*j - 500 = -2*p, 9*j - 13*j = -3*p + 700. What is the least common multiple of p and 8? 240 Let o(y) = 3*y**2 - 6*y. Let d = -798 - -812. Suppose 2*i + 2*n = d, 2*i - 6 = 4*n + 14. Calculate the least common multiple of i and o(4). 24 Let o(t) = 5*t - 34 - 11*t + 2*t**2 + 4*t. Calculate the smallest common multiple of o(5) and ((-4)/6)/((-2)/54). 18 Let s = -19 - -61. Suppose 0 = -116*j + 113*j + s. Suppose -3*k + 1 - j = -5*b, 5*b + k = 29. What is the least common multiple of b and 5? 5 Let c = -2 + 7. Suppose -95*w - 5*w = 110*w - 5250. What is the smallest common multiple of w and c? 25 Suppose -27*c + 179358 = 40*c + 62175. What is the smallest common multiple of c and 15? 8745 Find the common denominator of (-4)/(-3)*110/96 and ((-483)/(-486) - 1)/((-47)/1034). 324 Suppose 3*z = -f - 50 - 21, f - 2*z + 66 = 0. Find the common denominator of 11/18 and 1924/(-2142) + 8/f. 126 Let a be 20/9 - (-26)/(-117). Let z(b) = 5*b + b**3 - 68*b**2 + 75*b**a + 0*b**3 - 3*b + 28. Calculate the smallest common multiple of z(-7) and 28. 28 Let r(a) = 2*a**3 - 8*a**2 + 2*a. Let y be r(4). Suppose -y*l + 864 = 4*l. Calculate the lowest common multiple of l and 6. 72 Let x = -517279/42976820 + 4/22153. What is the common denominator of 54/5 and x? 1940 Let v be (1/(-3))/((-3)/(-36)) + 2. Let n = 37 - v. Suppose 5*j - n = -5*t + 8*t, 3 = 3*j + 5*t. Calculate the smallest common multiple of 27 and j. 54 Suppose 3*a = -5*h + 1, -5*a + 6*a - 3*h - 19 = 0. Calculate the least common multiple of 24 and a + 1/(5/25). 24 Let i be 1060/32 - (-4)/(-64)*2. Suppose 15*x + 360 = i*x. Calculate the lowest common multiple of x and 36. 180 Suppose -j + 5*h = -27, -2*j - 4*h - 7 = 9. What is the smallest common multiple of (4560/(-475))/(3/(-10)) and j? 32 Let v = 569661 + -2695635837/4732. Calculate the common denominator of v and -97/8. 9464 Let d = 25 - 19. Find the common denominator of 25/(-60) + (-3 - -2 - 1) and (-4)/d - 1995/(-225). 60 Let d(f) = 4*f**2 + 19*f - 8. What is the least common multiple of 22608/27 + (3 - 7/3) and d(-6)? 9218 Let r be 4 - (-15 + 1)*1010/4. Let p = 63751/18 - r. What is the common denominator of p and -1*(-3 + 33/16)? 144 Let h = -5050894/169 + 92786767/9126. Let z = 19721 + h. What is the common denominator of (285/(-99) - -2) + 2 and z? 594 Let i be (12/16)/(2 + 1862534/(-931279)). Let b = 29105 - i. Find the common denominator of 55/6 and b. 96 Let n(l) = -l**2 + 22*l + 37. Let a(y) = 2*y**2 - 42*y - 75. Let t(b) = 4*a(b) + 10*n(b). What is the lowest common multiple of t(27) and 88? 176 Let n be ((-6)/(-508))/((-1)/(-1)) - 0. Let d = n - 2354/381. What is the common denominator of d and -43/27? 54 Suppose 0 = 3*n - 5*g - 4053 - 2589, -4*n = 4*g - 8856. Calculate the smallest common multiple of 246 and n. 2214 Suppose 17860 = 4*r + 3*d, -4*r + d + 17884 = -2*d. Let o = 26743/6 - r. Calculate the common denominator of 101/44 and o. 132 Let q(o) = -288*o**3 + o**2 - 2*o + 1. Let m be q(3). Let d = -7674624 + 138003419/18. Let b = m - d. What is the common denominator of b and -35/22? 198 Suppose k + 27 = 36. Suppose -16 - 20 = -k*g. What is the common denominator of -130*(-9)/(810/g) and -1/6? 18 Let o(k) = -k**2 + 32*k - 132. What is the smallest common multiple of 12 and o(8)? 60 Let j(c) be the second derivative of -c**5/20 - c**4/2 - c**3/3 - 3*c**2 - 24*c. Let b be j(-4). What is the common denominator of 2/b*3 - 754/180 and 83/70? 630 Let b = 223 - 21. What is the common denominator of 3 - -1 - (b/20 - -4) and -47/90? 90 Suppose 406 = -v + 229. Let a = v - -198. What is the smallest common multiple of a and 63? 63 Let b = 8557 + -6111. Calculate the smallest common multiple of b and 22. 26906 Let n = 57270/7 - 8221. Let v = 1163/14 + n. Let h = 2/14185 + -524863/127665. Find the common denominator of v and h. 18 Calculate the least common multiple of 816 and (5 + 218 - 5) + 5 + -15. 10608 Let p = 2399 + -2375. Calculate the least common multiple of 10782 and p. 43128 Let u = -4 - 29. Let y = 1/25908 - 539753/77724. Calculate the common denominator of y and u/114 + -3 + 2. 342 Let t = -1181 - 787. Let w be (202/(-304) - -1)*t/72. Let y = -1/228 - w. Find the common denominator of y and 29/12. 12 Let m be ((-41)/2 + 3)/(1/(-18)). Suppose -92*z = -99*z + m. Calculate the lowest common multiple of z and 9. 45 Let u = -51 + 45. Let j be (-65)/20 + u/8. What is the smallest common multiple of 8 and (j - (-49)/7) + 22/2? 56 Suppose 9 + 15 = 6*v. Suppose 18 = v*t + 2*t. Calculate the least common multiple of t and 39. 39 Let a = 2/129939 + 1920171/2512154. Find the common denominator of a and -117/406. 1218 Let w(m) = -m**3 + 13*m**2 + 17*m - 54. Let f be w(14). What is the common denominator of (-4*(-2)/108)/(f/279) and 13/18? 18 Let k(z) = -2*z + 8. Let m be k(3). Let a be (6 - -5)*(m - -3)/(-1). Let l = -52 - a. Calculate the lowest common multiple of 11 and l. 33 Suppose -6*j = -10*j - 368. Let m be 2*j/(-10) + 2/(-5). Suppose 19*y - 16*y = m. Calculate the smallest common multiple of y and 44. 132 Suppose 13*o - 653 = 608. L
{ "pile_set_name": "DM Mathematics" }